what is the molarity of a 10.5 % by mass glucose ( c6h12o6 ) solution? (the density of the solution is 1.03 g/ml .)express the molarity to three significant figures.
Answers
The molarity of a 10.5 % by mass glucose (C6H12O6) solution is 0.579 M.
The formula for molarity (M) is:
Molarity (M) = (Number of moles of solute) ÷ (Volume of solution in liters)
We need to convert the mass percentage into grams:
Let us assume that we have 100 g of the glucose solution since 10.5% means 10.5 g glucose is present in 100 g solution.
Therefore, the mass of glucose in 100 g of the solution = 10.5 g
Also, we know that the density of the solution = 1.03 g/ml.
Let us assume the volume of the solution to be 100 ml = 0.1 L.
So, the mass of 100 ml of the solution = volume x density
= 0.1 L x 1.03 g/ml
= 0.103 g/ml x 100 ml
= 10.3 g
Thus, 100 g of the solution contains 10.5 g of glucose and (100 - 10.5) g of water = 89.5 g of water
Now, the number of moles of glucose present in 10.5 g of glucose can be found using its molar mass, which is 180 g/mol.
Number of moles of glucose = Mass of glucose ÷ Molar mass of glucose
= 10.5 g ÷ 180 g/mol
= 0.0583 mol
Now, the volume of the solution that contains 0.0583 moles of glucose is 100 ml, which is equal to 0.1 L
.
So, Molarity (M) = (Number of moles of solute) ÷ (Volume of solution in liters)
= 0.0583 mol ÷ 0.1 L
= 0.583 M (rounded to three significant figures)
= 0.579 M
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Related Questions
A balloon filled with 47 mL of hydrogen gas at 276 K is placed in a freezer. What will be the new volume if the temperature of the balloon is raised to 456 K?
Answers
Answer:
The new volume of the balloon will be approximately 77.7 mL (3 s.f.).
Explanation:
We can assume that the pressure remains constant, since the balloon is not being compressed or expanded, and is simply being exposed to a different temperature. Therefore, to solve this problem, we can use Charles's Law, which relates the volume and temperature of a gas.
Charles's Law\(\boxed{\sf \dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}}\)
where:
V₁ = initial volumeT₁ = initial temperature (in kelvin)V₂ = final volumeT₂ = final temperature (in kelvin)Given the balloon is initially filled with 47 mL of hydrogen gas at 276 K, and its temperature is raised to 456 K:
V₁ = 47 mLT₁ = 276 KT₂ = 456 KSubstitute the given values into the formula:
\(\implies \sf \dfrac{47\;mL}{276\;K}=\dfrac{V_2}{456\;K}\)
Solve for V₂:
\(\implies \sf \dfrac{47\;mL}{276\;K} \cdot 456\;K=\dfrac{V_2}{456\;K} \cdot 456\;K\)
\(\implies \sf V_2=\dfrac{47\;mL\cdot 456\;K}{276\;K}\)
\(\implies \sf V_2=77.6521739...\;mL\)
\(\implies \sf V_2=77.7\; mL\; (3\;s.f.)\)
Therefore, the new volume of the balloon will be approximately 77.7 mL when the temperature is raised to 456 K.
\(\blue{\huge {\mathrm{CHARLES' \; LAW}}}\)
\(\\\)
\({===========================================}\)
\({\underline{\huge \mathbb{Q} {\large \mathrm {UESTION : }}}}\)
A balloon filled with 47 mL of hydrogen gas at 276 K is placed in a freezer. What will be the new volume if the temperature of the balloon is raised to 456 K?\({===========================================}\)
\( {\underline{\huge \mathbb{A} {\large \mathrm {NSWER : }}}} \)
The new volume of the balloon at a temperature of 456 K is 77.7 mL.\({===========================================}\)
\({\underline{\huge \mathbb{S}{\large \mathrm {OLUTION : }}}}\)
We can use Charles' Law to solve this problem, which states that at constant pressure, the volume of a gas is directly proportional to its absolute temperature:
\(\sf\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}\)where:
\(\sf V_1\) is the initial volume (47 mL),\(\sf T_1\) is the initial temperature (276 K),\(\sf V_2\) is the final volume (unknown), and\(\sf T_2\) is the final temperature (456 K).Solving for \(\sf V_2\), we get:
\(\begin{aligned}\sf V_2& =\sf \dfrac{(V_1 \cdot T_2)}{T_1} \\& =\sf \dfrac{(47\: mL \cdot 456\: K)}{276\: K} \\ & = \boxed{\bold{\:77.7\: mL\:}} \end{aligned}\)
Therefore, the new volume of the balloon at a temperature of 456 K is 77.7 mL.
\({===========================================}\)
\(- \large\sf\copyright \: \large\tt{AriesLaveau}\large\qquad\qquad\qquad\qquad\qquad\qquad\tt 04/02/2023\)
How much of a 0.230 g radioactive sample with a half-life of 8 hours would remain after a period of 2.50 days?
Answers
The amount of radioactive sample after 2.5 days is 0.00127 g.
What is half-life?Half-life is the time require for half the sample of a radioactive material to decay
To calculate the amount of radioactive sample left after 2.5 days, we use the formula below.
Formula:
R' = R/\(2^{t/n}\)................... Equation 1⇒ Where:
R' = Amount of radioactive sample leftR = Original amount of samplet = Total timen = Half-lifeFrom the question,
⇒ Given:
R = 0.230 gt = 2.5 days = (2.5×24) hours = 60 hoursn = 8 hoursSubstitute these values into equation 1
R' = 0.230/(\(2^{60/8}\))R' = 0.230/\(2^{7.5}\)R' = 0.230/181.02R' = 0.00127 g.Hence. the amount of radioactive sample after 2.5 days is 0.00127 g.
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why isn't lactic acid fermentation a reasonable long term solution to lack of oxygen
Answers
Lactic acid fermentation is not a reasonable long-term solution to a lack of oxygen because it is an inefficient process in terms of energy production and can lead to the accumulation of lactic acid.
During lactic acid fermentation, glucose is converted into lactic acid in the absence of oxygen. This process allows for the regeneration of NAD+ to sustain glycolysis, which is the primary pathway for ATP production in the absence of oxygen. However, lactic acid fermentation produces only a limited amount of ATP compared to aerobic respiration, which is the process that occurs in the presence of oxygen.
Additionally, lactic acid buildup can lead to a decrease in intracellular pH, causing acidification of the cells. This acidic environment can negatively impact cellular processes and potentially lead to cell damage. The accumulation of lactic acid also limits the ability of cells to perform essential functions, including muscle contraction.
In contrast, aerobic respiration, which occurs in the presence of oxygen, is a much more efficient process for ATP production. It generates a significantly higher amount of ATP per glucose molecule compared to lactic acid fermentation. Therefore, in the long term, relying solely on lactic acid fermentation would result in reduced energy production and potential harm to cellular function.
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Organisms typically have more than one form of each gene. If one form can mask the appearance of another form, that form is considered _______ the other form.
A.
better than
B.
dominant over
C.
recessive to
D.
worse than
Answers
If one form of a gene can mask the appearance of another form, that form is considered dominant over the other form. Option B.
What are dominant alleles?According to Mendel, genes are usually made up of 2 alleles. These alleles can be the same or different. When the alleles are the same, the gene is said to be homozygous. If the alleles are different, the gene is said to be heterozygous.
When the two alleles that make up a gene are different, one will be dominant and the other will be recessive. The dominant gene masks the effect of the recessive gene. In other words, the recessive gene cannot be expressed as long as it coexists with the dominant gene. In order for it to be expressed, it has to be in two copies or a homozygous recessive form.
For the dominant allele, however, only one copy is needed for it to be expressed.
In summary, if one form of a gene can mask the appearance of another form, that form is considered dominant over the other form.
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EXERCISE 3: WHAT DOES pCO2 CHANGE? - When pCO
2
increases, the concentration of total CO
2
dissolved in water - When pCO
2
increases, the concentration of only CO
2
dissolved in water - When pCO
2
increases, the pH - Which form of dissolved CO
2
is most common in water? Ocean acidification is the decrease in pH due to increasing atmospheric CO
2
concentration.
2
. Choose the correct word option in the statements below: - An organism that needs CO
2
is likely to fare better / worse under ocean acidification. - An organism that needs HCO
3
- is likely to fare better/worse under ocean acidification. - An organism that needs CO
3
2−
is likely to fare better/worse under ocean acidification.
Answers
pCO2 is an important factor that affects various aspects of water chemistry and the impacts of ocean acidification. When pCO2 increases, the concentration of total CO2 dissolved in water also increases. This leads to changes in pH, which decreases due to increasing atmospheric CO2 concentration.
When pCO2 rises, the concentration of only CO2 dissolved in water increases. The dissolved CO2 forms carbonic acid, which contributes to the acidification of the ocean. This increase in CO2 affects the equilibrium between CO2, HCO3-, and CO3^2-, shifting it towards higher levels of dissolved CO2 and H+ ions, resulting in a lower pH.
In terms of the impacts of ocean acidification on different organisms, the effects can vary depending on their specific needs. An organism that requires CO2 is likely to fare better under ocean acidification since the increase in dissolved CO2 can provide them with a favorable environment. However, organisms that rely on HCO3- or CO3^2- may fare worse under ocean acidification, as the lower pH interferes with the availability of these carbonate ions, which are essential for shell formation and calcification in some marine organisms.
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Which chemical symbols will complete the equation for this decomposition reaction? 2ki → 2 2
Answers
The correct chemical symbols that fill the decomposition reaction are K and I
The chemical reaction is,
2KI-------> 2K + 2I
Potassium iodide is a white, odorless, crystalline solid compound composed of potassium and iodide ions. It is used to treat some forms of thyroid disease and to fortify table salt for iodized salt.
The decomposition of potassium iodide is a chemical process in which the compound breaks down into its respective ions. When potassium iodide is exposed to light, heat, or strong acid, it decomposes into potassium and iodide ions.
The reaction is a redox reaction, meaning the potassium and iodide ions are both oxidized and reduced. The potassium gains electrons and the iodide loses electrons. The reaction is exothermic, meaning it releases heat energy.
The decomposition of potassium iodide is important to understand because it is a necessary step in the production of iodized salt. Understanding the process of decomposition also helps to understand how potassium iodide is used to treat the thyroid disease.
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What is the ph of a buffer system prepared by dissolving 10. 70 grams of nh4cl and 35. 00 ml of 12 mol l-1 nh3 in enough water to make 1. 000 l of solution? kb = 1. 80 × 10-5 for nh3.
Answers
9.577 is the ph of a buffer system prepared by dissolving 10. 70 grams of nh4cl and 35. 00 ml of 12 mol l-1 nh3 in enough water to make 1. 000 l of solution.
Mass ,NH4Cl = 10.7 g
Volume ,NH3 = 35 mL = 0.035 L
Molarity NH3 = 12 M
no. moles of NH4Cl = mass/molar mass
Molar mass, NH3 = 53.49 g/mol
no. moles NH4Cl = 10.7/53.49
no. moles NH4Cl; n_acid = 0.2 mol
no. moles NH3 = Volume × molarity
no. moles of NH3 = 0.035 × 12
no. moles NH3; base = 0.42 mol
kb = 1.8 × 10^(-5)
Pkb = -log kb
Pkb = -log(1.8 × 10^(-5))
Pkb = 4.745
Pka = 14 - Pkb
Pka = 14 - 4.745
Pka = 9.255
PH = Pka + log(n_base/n_acid)
PH = 9.255 + log(0.42/0.2)
PH = 9.577
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HELP ASAP.
Determine the length of time it would take for a banana slug to run a complete marathon.
Use the information below for guidance.
Question: How long would it take a slug to run a marathon, 26.2 miles?
Provide your answer in a time length that gives a value between 1 and 100. You'll need to decide whether that is minutes, days, years, or decades. The number needs to have a context (or have meaning) to you.
Here are some potentially useful conversion factors. There are multiple ways to solve this problem and you may not need all these conversion factors. You might also need some of your metric prefix conversions! Remember "King Henry died by drinking chunky milk". ●
Length 12 inch = 1 foot
1 inch = 2.54 cm
3 feet = 1 yard
5280 feet 1 mile
1760 yards = 1 mile
Time 1 min = 60 seconds
60 minutes = 1 hour
24 hours = 1 day
365.25 days = 1 year
10 years = 1 decade
Slug Travel Rate 0.0229 mm/s
Hints:
Consider starting with the length of the marathon, 26.2 miles.
Show all your work. Include both number and unit in each space.
Use the "fence posts" to organize your conversion factors to cancel units.
Answers
It would take a banana slug approximately 1,029,863 minutes to run a complete marathon, which is equivalent to about 17,164 hours or approximately 714 days.
How to determine length of time?To determine the length of time it would take for a banana slug to run a complete marathon of 26.2 miles, use the given information and conversion factors:
Given:
Slug Travel Rate: 0.0229 mm/s
Conversion Factors:
1 mile = 5280 feet
1 foot = 12 inches
1 inch = 2.54 cm
1 cm = 10 mm
1 second = 1 s
Now set up the conversions to cancel out the units and find the time:
26.2 miles × (5280 feet/1 mile) × (12 inches/1 foot) × (2.54 cm/1 inch) × (10 mm/1 cm) × (1 s/0.0229 mm) = X seconds
Calculating this value:
X = (26.2 × 5280 × 12 × 2.54 × 10) / (0.0229)
X ≈ 61,791,789.68 seconds
Now convert seconds to a time unit that has a value between 1 and 100. Let's choose minutes:
61,791,789.68 seconds × (1 min / 60 seconds) = Y minutes
Y ≈ 1,029,863.16 minutes
So, it would take a banana slug approximately 1,029,863 minutes to run a complete marathon, which is equivalent to about 1,029,863/60 ≈ 17,164 hours or approximately 714 days.
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Hypothesis: How will molecular size affect the rate of evaporation and how will this correlate
with temperature change? Why does molecular size affect evaporation rate?
Answers
A molecular size affects the rate of evaporation when the larger the intermolecular forces in a compound, the slower the evaporation rate and this correlates with temperature change.
Molecular size seems to have an effect on evaporation rates in that the larger a molecule gets or grows from a base chemical formula, its evaporation rate will get slower.
What is the molecular size?This is a measure of the area a molecule occupies in three-dimensional space as this relates to the physical size of an individual molecule.
Hence, we can see that a molecular size affects the rate of evaporation the larger the forces, the lower the rate.
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Classify the following size particle: 4.2cm
I need an answer no explanation needed
Answers
Particle size is typically measured in units such as micrometers (µm) or nanometers (nm), which represent very small lengths on the order of thousandths or millionths of a meter, respectively.
What is the classification of the particle?4.2 cm is much larger than the typical size of particles and is more in the range of everyday objects.
For example, 4.2 cm is roughly the size of a golf ball or a small tomato. If you have additional information about the particle's size, such as its shape or the material it is made of, I may be able to provide more specific guidance.
Also, a particle that is 4.2 nanometers (nm) in size falls in the range of nanoscale particles, which are typically much smaller than everyday objects and are invisible to the nakεd eye.
The size of the particle can provide some clues about its potential identity or classification, but additional information about its properties, composition, and context is needed to determine its specific identity.
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This is on one of my homework assignments and I need help understanding this problem.
Answers
According to the electronic configuration, platinum is least reactive and is a noble metal.
What is electronic configuration?
Electronic configuration is defined as the distribution of electrons which are present in an atom or molecule in atomic or molecular orbitals.It describes how each electron moves independently in an orbital.
Knowledge of electronic configuration is necessary for understanding the structure of periodic table.It helps in understanding the chemical properties of elements.Elements undergo chemical reactions in order to achieve stability.
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Guided
Learning
ar Inequalities in One Variable - Item 7601
Pre-Quiz
Practice
from a, it will be greater than b.
Post-Quiz
Finish
If the ordered pair (a, b) satisfies the inequality y> x-4, three of these statements are
true. Which statement is NOT true?
a and b may be equal to each other.
We
Answers
The statement about the inequality that is NOT true is (A), a and b may be equal to each other.
How to determine true statements?This is because the inequality y> x-4 means that y must be greater than x-4. If a and b are equal, then y = x-4, which means that the inequality is not satisfied.
The other three statements are true because:
If 4 is subtracted from a, it will be greater than b because y> x-4 means that y must be greater than x.
If 4 is subtracted from b, it will be less than a because y> x-4 means that y must be greater than x.
If 4 is subtracted from both a and b, the inequality will still be true because y> x-4 means that y must be greater than x, even if x and b are both decreased by 4.
Therefore, the answer to the question is the statement a and b may be equal to each other.
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Complete question:
Guided Learning ar Inequalities in One Variable - Item 7601
Pre-Quiz
Practice
from a, it will be greater than b.
Post-Quiz
Finish
If the ordered pair (a, b) satisfies the inequality y> x-4, three of these statements are true. Which statement is NOT true?
a and b may be equal to each other.
If you subtract 4 from a, it will be greater than b.
If you subtract 4 from b, it will be less than a.
If you subtract 4 from both a and b, the inequality will still be true.
Please help with chemistry
Answers
Answer:
Proton
Explanation:
It has a positive charge
Answer:
electron
Explanation:
Which particle has the least mass
Answers
Answer:
C. Helium Atom
Explanation:
Helium has less mass than hydrogen, proton, and electron
What does the chemical formula CaCl2 show about the compound it represents?
A.It is made up of one element.
B.It is made up of two elements.
C.It is made up of three elements.
D. It is made up of four elements.
Help asap please
Answers
Answer:
b
Explanation:
Explanation :
Calcium and chlorine
A sample of gas is measured to be 375 ml at 1.15 atm. The pressure
is increased to 2.05 atm. What is the new volume?
Answers
Answer:
Direct method:
1.15x375/2.05
=21.03mL
Both SVE and IAS have a minimal vapor pressure of 0.5mmHg for the compound to be effectively removed. (a) What is the equivalent equilibrium concentration reported in mol/L? (b) If methane (CH4) is reported, then what is the concentration in mg/L?
Answers
To determine the equivalent equilibrium concentration reported in mol/L, we can use the ideal gas law equation PV = nRT where:
P is the pressure in atm (mmHg can be converted to atm by dividing by 760),
V is the volume in liters,
n is the number of moles of the gas,
R is the ideal gas constant (0.0821 L·atm/mol·K),
T is the temperature in Kelvin.
Since we know the minimal vapor pressure required for effective removal is 0.5 mmHg, we can convert it to atm by dividing by 760:
P = 0.5 mmHg / 760 = 0.000658 atm
Assuming a temperature of 298 K, we can rearrange the ideal gas law equation to solve for the number of moles (n):
n = PV / RT
n = (0.000658 atm) * (V in liters) / (0.0821 L·atm/mol·K * 298 K)
Now, if we want to express the equilibrium concentration in mol/L, we need to divide the number of moles (n) by the volume (V in liters). The resulting units will be mol/L.
(b) To convert the concentration to mg/L, we need to consider the molar mass of methane (CH4), which is 16.04 g/mol. We can then convert from mol/L to mg/L by multiplying by the molar mass and scaling the units accordingly:
Concentration in mg/L = (Concentration in mol/L) * (Molar mass in mg/mol)
Keep in mind that the molar mass of methane is 16.04 g/mol, which is equal to 16,040 mg/mol.
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what is neutralisation reaction? why is it named so? give one example.
Answers
Answer:
In chemistry, neutralization or neutralisation is a chemical reaction in which acid and a base react quantitatively with each other. In a reaction in water, neutralization results in there being no excess of hydrogen or hydroxide ions present in the solution.Neutralization reactions are the reaction between acid and base. The products formed are water and salt. It is called so because the acid and base neutralize each other to form water and salt.Hint: The neutralization reaction is the one in which an acid reacts with an equimolar amount of base to give salt and water. The example could be a reaction between any strong acid and a base. The sodium chloride formed is a result of neutralization reaction.
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3. If a gas has a pressure of 32.1 psi at a temperature of 25°C, then what is the new pressure if the temperature is increased to 75°C?
Answers
Answer: 37.485 psi
Explanation: using the gas law and assuming that volume is constant due to nor being stated we use the formula
P1/T1=P2/T2
Note that the tempreture should be changed from °C to K by adding 273
A metal canister has a volume of 0.859 L. Its pressure is 0.750 atm at a 176 K temperature. How many moles of gas does the canister contain?
Answers
The number of moles of gas in the canister can be calculated using the ideal gas law equation:
PV = nRT,
where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
Rearranging the equation to solve for n, we have n = PV / RT. Plugging in the given values, we have n = (0.750 atm) * (0.859 L) / (0.0821 atm·L/mol·K) * (176 K) ≈ 0.045 moles of gas.
The ideal gas law relates the pressure, volume, temperature, and the number of moles of a gas. By rearranging the equation and plugging in the given values, we can solve for the number of moles of gas in the canister. In this case, the pressure is 0.750 atm, the volume is 0.859 L, the temperature is 176 K, and the ideal gas constant (R) is 0.0821 atm·L/mol·K.
After performing the calculation, we find that the canister contains approximately 0.045 moles of gas. This calculation assumes that the gas in the canister behaves ideally, meaning it follows the assumptions of the ideal gas law, such as negligible molecular size and interactions between gas molecules.
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Atoms have no overall charge. Describe what this means about the number of protons and electrons they contain
Answers
Which describes the enthalpy change associated with an endothermic reaction?.
Answers
An endothermic reaction is one that absorbs heat from its surroundings, resulting in an increase in the system's internal energy.
Therefore, the enthalpy change associated with an endothermic reaction is positive. The energy required to break the bonds in the reactants is greater than the energy released when new bonds are formed in the products, resulting in a net absorption of energy.
The enthalpy change is a measure of the heat energy released or absorbed during a chemical reaction, and it is often used to determine whether a reaction is exothermic or endothermic.
In the case of an endothermic reaction, the products have more internal energy than the reactants, and the enthalpy change is positive.
Some examples of endothermic reactions include melting ice, evaporating water, and photosynthesis. In all of these reactions, heat is absorbed from the surroundings, resulting in a positive enthalpy change.
Understanding the enthalpy change associated with a reaction is important in fields such as thermodynamics, chemical engineering, and materials science.
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calculate the amount of parent isotope that remaining after 1, 2, 3, and 4 half-lives. include 4 decimal places in your answers. parent present: 1.0000 unit (i.e., all of the parent isotope is still present) after 1 half-life: 0.5000 units
Answers
For each half-life, the total amount of the isotope is divided by 2.
Therefore, the amount of parent isotope that remains after:
1 half-life is ½= 0.5
2 half-lives= 2/4= 0.5
3 half-lives= 3/6= 0.5
What is an isotope?
Isotopes are two or more atoms sharing the same atomic number and chemical element but have distinct nucleon numbers (mass numbers) as a result of having a different number of neutrons in their nuclei. The word "isotope" is derived from the Greek words "isos" and "topos," both of which imply "the same location." As a result, the name refers to the fact that various isotopes of a given element occupy the same spot on the periodic table. Scottish physician and author Margaret Todd first used it in a recommendation in 1913.To know more about isotopes, click the link given below:
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the empirical formula is C6H6O.vapour density is 47.find the molecular formula
Answers
Answer: The molecular formula will be \(C_6H_6O\)
Explanation:
Molecular formula is the chemical formula which depicts the actual number of atoms of each element present in the compound.
Empirical formula is the simplest chemical formula which depicts the whole number of atoms of each element present in the compound.
The empirical formula is \(C_6H_6O\)
The empirical weight of \(C_6H_6O\) = 6(12)+6(1)+1(16) = 94 g.
The molecular weight = \(2\times \text{vapour density}=2\times 47=94\)
Now we have to calculate the molecular formula.
\(n=\frac{\text{Molecular weight}}{\text{Equivalent weight}}=\frac{94}{94}=1\)
The molecular formula will be=\(1\times C_6H_6O=C_6H_6O\)
Match the reaction to the type that best describes it.NaCl + KBr NaBr + KClMg + FeCl2 Fe + MgCl22H2O 2H2 + O2N2 + O2 2NO?Combination?Decomposition?Single replacement
Answers
answer
Reaction 1: NaCl + KBr > NaBr + KCl - double replacement reaction
Reaction 2: Mg + FeCl2 > Fe + MgCl2 - single replacement reaction
Reaction 3: 2H2O 2H2 + O2 - decomposition reaction
Reaction 4: N2 + O2 2NO - combination reaction
which of the following is a noble gas ?
Answers
Why does the battery give a reading of 9V even though there are no electrons flowing around the circuit?
Answers
Answer:
because battery have it's own voltage in it's composition
A scientist conducted an experiment and discovered that certain plants grow faster when given a particular amount of fertilizer. Another scientist conducted the same experiment and got similar results.
Answers
Answer:
replication
Explanation:
Replication is one of the characteristics of good research and it refers to the ability of research to be reproduced-able with similar results by an independent researcher or group of researchers.
Hence, when a scientist conducted an experiment and another scientist did the same with similar results, the process is known as replication.
Explain the concept law of diminishing marginal rate of substitution. What is/are the reason/s why the law of diminishing marginal rate of substitution suggest/s that isoquant must be bent toward the origin?
Answers
The law of diminishing marginal rate of substitution indicates that the rate at which one input can be substituted for another decreases as the quantity of one input increases, leading to isoquants being bent toward the origin.
In other words, as the quantity of one good increases, the individual is willing to sacrifice fewer units of the other good to obtain an additional unit of the first good. This reflects a diminishing rate of substitution between the two goods.
The reason why the law of diminishing marginal rate of substitution suggests that isoquants must be bent toward the origin is rooted in the concept of diminishing marginal utility. As more units of a particular input (e.g., labor or capital) are added while holding other inputs constant, the additional output gained from each additional unit of the input will decrease. This diminishing marginal productivity leads to a decreasing MRS.
When isoquants (which represent different combinations of inputs that produce the same level of output) are bent toward the origin, it reflects the fact that as more of one input is used, the amount of the other input that needs to be substituted decreases. This bending signifies the diminishing MRS and captures the idea that a larger quantity of one input can be substituted for a smaller quantity of the other input to maintain the same level of output.
Overall, the law of diminishing marginal rate of substitution indicates that the rate at which one input can be substituted for another decreases as the quantity of one input increases, leading to isoquants being bent toward the origin.
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What is the freezing point of a solution in which 2. 50 grams of sodium chloride are added to 230. 0 mL of water
Answers
The freezing point of the solution is -0.3462 °C. When, 2. 50 grams of sodium chloride are added to 230. 0 mL of water.
To calculate the freezing point of the solution, we use the freezing point depression equation;
\(ΔT_{f}\) = \(K_{f.m}\)
where \(ΔT_{f}\) is the change in freezing point, \(K_{f}\) is the freezing point depression constant of water (1.86 °C/m), and m is the molality of the solution.
First, we calculate the molality (m) of the solution;
Molar mass of NaCl = 58.44 g/mol
Number of moles of NaCl = 2.50 g / 58.44 g/mol
= 0.0428 mol
Mass of water=230.0 mL x 1.00 g/mL
= 230.0 g
molality (m) = 0.0428 mol / 0.230 kg
= 0.186 mol/kg
Now we can plug in the values into the freezing point depression equation;
\(ΔT_{f}\) = 1.86 °C/m x 0.186 mol/kg = 0.3462 °C
The freezing point of pure water is 0 °C, so the freezing point of the solution is;
Freezing point = 0 °C - 0.3462 °C
= -0.3462 °C
Therefore, the freezing point of the solution is -0.3462 °C.
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