Hey there!:
Mass = 17.92 g
Volume = 2.00 mL
Density = ??
Therefore:
D = m / V
D = 17.92 / 2.00
D = 8.96 g/mL
Hope this helps!
The density of an object is obtained as the ratio of mass of an object to its volume.
In science, density is defined as mass per unit volume. The volume of an object is the same as the volume of water displaced by the object.
Since the volume of water rose by 2.00 mL, then the volume of copper is 2.00 mL.
The density is now; mass/volume
Mass = 17.92 g
Density = 17.92 g/2.00 mL
= 8.96 g/ml
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Plz help ! confused
Answer:
b.a convex lens forms a smaller,real image.
describe the purpose of using a chemical equation.
Answer:
The purpose of using a chemical equation is to keep track of elements and the number of atoms of each of the elements on each side of the equation. ... They use symbols and formulas to show the chemical reaction so that chemical names do not need to be written out.
Answer:
:0
Explanation:
Sample Response: Chemical equations show how chemicals interact when a reaction occurs. They use symbols and formulas to show the chemical reaction so that chemical names do not need to be written out. They also help keep track of all elements and the number of atoms of each element on each side of the equation.
If 0.84 mol of CS2 reacts with oxygen completely according to the equation CS2(ℓ) + 3 O2(g) → CO2(g) + 2 SO2(g) what volume (total) would the products occupy if they were measured at STP?
Answer:
The products will occupy a volume of 56.448 L when measured at STP
Explanation:
The first thing to check here is the mole ratio of the reactant in question to the product.
From the chemical equation, we can see that 1 mole of CS2 gave a total mole of 3 moles of the products(1 mole of carbon iv oxide and 2 moles of sulphur iv oxide)
Now if 1 mole of reactant can give 3 moles of the products,
then 0.84 mole of reactant will give 3 * 0.84 moles of the product = 2.52 moles of the products
We are told to calculate the total volume.
At STP , 1 mole of a gaseous substance will occupy a volume of 22.4L or 22.4 dm^3 (liters and dm^3 are same)
This means that 2.52 moles will occupy a volume of 22.4 * 2.52 = 56.448L
what is causing the marshmallow to change their sate of matter
Answer:
Any form of semi high energy waves cause the water molecules inside the marshmallow to vibrate which heat and soften the sugar matrix inside the marshmallow. The weakened sugar matrix allows air bubbles within the marshmallow to expand rapidly and the marshmallow puffs up and becomes goo. If this proccess is repeated it can completly change it's state of matter.
Explanation:
Is irony the expected outcome?
In literary classes, the three most popular types are verbal irony, dramatic irony, and situational irony. When a speaker or narrator says something that contradicts what they mean, what they intend, or what the context necessitates, this is called verbal irony.
What is irony?One thing is expressed while another is meant in an ironic statement. For example, on a chilly, wet gray day, you would exclaim, "What a gorgeous day!" Alternatively, if you were suffering from a severe case of food sickness, you may respond, "Wow, I feel terrific today." "ffers points of view and ideas that are, at most, intriguing... However, it does not reach the truth." Ronagh and Souder are particularly concerned with scientific assertions that are not meant to be taken seriously.
Here,
The three most common varieties in literary studies are verbal irony, dramatic irony, and situational irony. Verbal irony occurs when a speaker or narrator says something that contradicts what they mean, what they intend, or what the context requires.
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A component of pancreatic juice that functions to neutralize acidic chyme as it enters the small intestine is called:_________
In order to neutralize the acidic chyme, a hormone called secretin stimulates the pancreas to produce alkaline bicarbonate solution and deliver it to the duodenum.
What is Pancreatic juice ?Your pancreas produces pancreatic fluids called enzymes that aid in digesting. These enzymes disintegrate carbohydrates, lipids, and sugars. By producing hormones, the pancreas also supports your digestive system. These chemical messengers move throughout your bloodstream.
The pancreatic juice has a pH of approximately 8.6. (alkaline). The correct response is "8.6" because it has a high concentration of bicarbonate ions, which causes it to be alkaline.Learn more about Pancreatic juice here:
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A gaseous compound is subjected to increased pressure. What is happening to the temperature at the same time?-increased temperature, increased volume-increased temperature, decreased volume-decreased temperature, increased volume-decreased temperature, decreased volume
A gaseous compound is subjected to increased pressure. What is happening to the temperature at the same time?
We assume the gas is in a container.
If we increase the pressure, is a direct relationship with temperature, so the temperature increases, but if the volume is not constant, it will decrease.
Answer: increased temperature, decreased volume.
Draw the structure(s) of the major organic product(s) you would expect from reaction of m-toluidine (m-methylaniline) with hcl (1 equivalent)
The major organic products that are expected from the reaction of m-toluidine (m-methylaniline) with HCl (1 equivalent) are m-methylbenzenediazonium chloride and water.
When m-toluidine (m-methylaniline) reacts with HCl (1 equivalent), it undergoes diazotization, which is a reaction that involves the conversion of a primary amine group (-NH2) to a diazonium group (-N2+) in the presence of an acid. During diazotization, the amine group is protonated, and the nitrogen atom develops a positive charge. Then, it is displaced by the chloride ion to form m-methylbenzenediazonium chloride.The diazonium salt formed in the reaction is highly unstable and cannot be isolated as a solid. Thus, it is typically used in situ, which means it is generated in the reaction mixture and immediately used for further reactions. Diazonium salts are versatile compounds that can undergo various reactions like Sandmeyer reaction, azo coupling reaction, etc.
When m-toluidine is treated with 1 equivalent of HCl, it undergoes diazotization to form m-methylbenzenediazonium chloride and water. Diazonium salts are highly reactive compounds and are often used for further synthetic reactions.
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What is the pressure in a 28.0- L cylinder filled with 36.6 g of oxygen gas at a temperature of 349 K
The pressure in a 28.0- L cylinder filled with 36.6 g of oxygen gas at a temperature of 349 K is 31.5 atm.
To calculate the pressure in a 28.0- L cylinder filled with 36.6 g of oxygen gas at a temperature of 349 K is 31.5 atm, we use the ideal gas law relates the pressure, temperature, and volume of a gas using the equation PV = nRT, where P is the pressure of the gas, V is the volume of the gas, n is the number of moles of the gas, R is the universal gas constant, and T is the absolute temperature of the gas. We can rearrange the ideal gas law equation to solve for pressure. That is:
P = (nRT) / V
Given that the volume of the cylinder is 28.0 L and it is filled with 36.6 g of oxygen gas at a temperature of 349 K, we need to first find the number of moles of oxygen gas present using the ideal gas law equation, n = (m/M), where m is the mass of the gas and M is the molar mass of the gas. The molar mass of oxygen is 32.00 g/mol. That is:
n = (36.6 g)/(32.00 g/mol) = 1.144 mol
Now we can plug the values into the ideal gas law equation and solve for pressure.
P = (nRT) / V
= [(1.144 mol) (0.08206 L atm/mol K) (349 K)] / (28.0 L)
= 31.5 atm
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a 433 l tank holds helium gas at -48 °c with a pressure of 1.24 atm. how many moles of gas are in the tank?
Number of moles of gas are in the tank is 0.287 mole.
Pressure is the force implemented perpendicular to the floor of an object in step with unit location over which that force is shipped. Gauge strain is the strain relative to the ambient strain. diverse units are used to specific strain.
Strain is described as force implemented consistent with unit area. Mathematically it's far given by, P=FA. wherein F is the force acting perpendicular to the floor vicinity A. the usual unit of strain is the pascal (Pa), equal to at least one newton in keeping with meter squared (N/m 2 ).
Calculation:-
volume = 433 L
Pressure = 1.24 atm
T = -48 °c
= 273 - 48 K
= 225 K
PV = nRT
n = PV/RT
= 1.24 × 433 / 8.314 × 225 K
= 0.287 mole
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EZ POINTS!!!
!!!
..!!!!!
A 1.00 L sample of a gas has a mass of 1.92 g at STP. What is the molar mass (molecular weight) of the gas
Answer:
The answer is below
Explanation:
Avogadro stated that "Equal volumes of all gases at the same temperature and pressure contain the same number of molecules". Hence at standard temperature and pressure 1 mole of a gas occupies 22.4 liters of volume.
1 mol = 22.4 liters
Given a gas with 1 L and mass of 1.92 g at STP.
number of moles = 1 L / (22.4 L / mol) = 0.0446 mol
The molar mass = mass of gas / number of moles
molar mass = 1.92 g / 0.0446 mol
molar mass = 43.008 g / mol
Given:
Mass = 1.92 gSample of gas = 1.00 LNow,
Number of moles will be:
= \(\frac{1 \ L}{22.4 \ L/mol}\)
= \(0.446 \ mol\)
hence,
The molar mass,
= \(\frac{Mass \ of \ gas}{Number \ of \ moles}\)
By putting the values,
= \(\frac{1.92}{0.446}\)
= \(43.008 \ g/mol\)
Thus the answer above is correct.
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25.00 ml of 0.01100 m ca2 is titrated to a calmagite end point with edta solution. if the pure blue end-point color occurs at 24.50 ml what is the molarity of the edta?
The molarity of the EDTA solution is 0.01122 M.
To calculate the molarity of the EDTA solution, we can use the concept of stoichiometry. In this case, the reaction between Ca2+ and EDTA is a 1:1 ratio. Using the given information:
Volume of Ca2+ solution = 25.00 mL
Molarity of Ca2+ solution = 0.01100 M
Volume of EDTA solution = 24.50 mL
First, we need to find the moles of Ca2+:
moles of Ca2+ = (Volume of Ca2+ solution) x (Molarity of Ca2+ solution)
moles of Ca2+ = (25.00 mL) x (0.01100 M) = 0.275 moles
Since the ratio of Ca2+ to EDTA is 1:1, moles of EDTA = 0.275 moles
Now, we can calculate the molarity of the EDTA solution:
Molarity of EDTA = moles of EDTA / Volume of EDTA solution
Molarity of EDTA = 0.275 moles / 24.50 mL = 0.01122 M
The molarity of the EDTA solution is 0.01122 M.
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The selenate ion, SeO32-, is classified as which of the following?
a. polyatomic cation
b. monoatomic cation
c. polyatomic anion
d. monoatomic anion
e. none of the above
The selenate ion, SeO32-, is classified as a polyatomic anion.
A polyatomic ion is a charged species composed of two or more atoms bound together by covalent bonds but carrying an overall charge. In the case of the selenate ion, it consists of one selenium atom (Se) and three oxygen atoms (O), forming a covalent bond. The negative charge on the ion (-2) indicates that it has gained two electrons, giving it a net charge.
To determine the classification of the selenate ion, we can break down the options provided:
a. polyatomic cation: A cation is a positively charged ion. However, the selenate ion has a negative charge, so it does not fall under this category.
b. monoatomic cation: A monoatomic cation is a positively charged ion consisting of a single atom. The selenate ion contains multiple atoms, so it is not a monoatomic cation.
c. polyatomic anion: A polyatomic anion is a negatively charged ion composed of multiple atoms. The selenate ion fits this definition precisely, as it consists of multiple atoms (selenium and oxygen) and carries a negative charge.
d. monoatomic anion: A monoatomic anion is a negatively charged ion that consists of a single atom. However, the selenate ion contains multiple atoms (Se and O), so it does not qualify as a monoatomic anion.
e. none of the above: Based on the explanation above, option (c) - polyatomic anion is the correct classification for the selenate ion.
In summary, the selenate ion, SeO32-, is classified as a polyatomic anion. It consists of multiple atoms (one selenium atom and three oxygen atoms) that are covalently bonded and carry a net negative charge of -2.
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what is M2 ?how does FOMCs could affect M2 and why ?
M2 refers to the money supply measure known as M2 money stock.
The FOMC's decisions and actions can impact M2 through its control over interest rates, open market operations, and the influence on economic conditions and confidence. Changes in monetary policy by the FOMC aim to manage the money supply and promote price stability, economic growth, and employment.
M2 is a broad measure of the money supply that includes cash, checking and savings deposits, money market funds, and other time deposits.
The Federal Open Market Committee (FOMC) is a committee within the U.S. Federal Reserve System that is responsible for making decisions regarding monetary policy, including setting interest rates and implementing measures to manage the money supply.
The actions taken by the FOMC can have an impact on M2 and the broader money supply in the economy. Here's how:
1. Open Market Operations: The FOMC conducts open market operations by buying or selling government securities in the open market. When the FOMC buys government securities, it injects money into the banking system, increasing bank reserves and potentially leading to an expansion of M2.
2. Interest Rate Policy: The FOMC sets the target federal funds rate, which is the interest rate at which depository institutions lend and borrow funds from each other overnight. By adjusting the federal funds rate, the FOMC influences borrowing costs for banks and, in turn, affects their lending practices. Changes in interest rates can impact the demand for loans and affect the growth of M2.
3. Impact on Confidence and Spending: The FOMC's actions and communications can influence consumer and business confidence. When the FOMC signals a more accommodative monetary policy stance, it can encourage borrowing and spending, potentially leading to an increase in the growth of M2.
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How many moles of CaF2 will dissolve in 3.0 liters of 0.150 M NaF solution? (Ksp for CaF2 = 4.0 x 10-11).
The molar solubility of CaF₂ should be 6.4 × 10⁻¹⁰ M in order to dissolve in 3 litres of 0.150 M NaF solution.
Calculation of the molar solubility:
Here
CaF2 will dissociate should be
CaF2 ⇌Ca²⁺+ 2F⁻
where,
1 mole of Calcium ion (x)
2 moles of fluorine ion (2x)
Now
NaF will also dissociate like
NaF ⇌ Na⁺ + F⁻
Here
Na⁺ = 0.25M
F⁻ = 0.25M
Now
Ksp = {Ca²⁺}{F⁻}²
Ksp = {x}{0.25}²
4.0 × 10⁻¹¹= 0.25⁻²× x
4.0 × 10⁻¹¹ = 0.0625x
x = 4.0 × 10⁻¹¹ ÷ 6.25 × 10⁻²
x = 4/6.25 × 10⁻⁹
x = 0.64 × 10⁻⁹
x = 6.4 × 10⁻¹⁰
Therefore, the molar solubility of CaF₂ in NaF solution is 6.4 × 10⁻¹⁰M
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What is the ph of a koh solution that has [h ] = 1.87 × 10–13 m?
The pH of a KOH solution that has concentration of H⁺ ion is 1.87 × 10⁻¹³ M, is 12.73 it means given solution is basic in nature.
How do we calculate pH?pH of any solution is define as the negative logarithm of the concentration of H⁺ ion present in the solution, pH value ranges from 0 to 14.
i.e. pH = -log[H⁺]
In the question it is given that,
Concentration of H⁺ ion in the KOH solution = 1.87 × 10⁻¹³ M
pH of KOH solution = -log(1.87 × 10⁻¹³)
pH = -(-12.73)
pH = 12.73
Hence required pH is 12.73.
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If all of the bonding electrons in a molecule are bonded in two hybrid sp orbitals, whi
likely have?
O linear
O tetrahedral
O trigonal planar
O trigonal pyramidal
If all of the bonding electrons in a molecule are bonded in two-hybrid sp orbitals are likely to have a linear shape.
What are sp orbitals?One of a set of hybrid orbitals is produced when one s orbital and one p orbital is combined mathematically to form two new equivalent, perpendicular orbitals.
A linear molecule is one in which the atoms are arranged in a straight line (less than a 180° angle). The sp hybridization occurs at the central atom of molecules with linear electron-pair geometries.
Carbon dioxide (O=C=O) and beryllium hydride \(BeH_2\) are examples of linear electron pairs and molecular geometry.
Hence, option A is correct.
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Write balances molecular and net ionic equations for reactions of:
A. Here is what they said the answer was for hydrochloric acid and nickel as a chemical equation
2Hcl(aq)=Ni(s) arrowNiCl2(aq)+H2(g) Now
Write a net IONIC equation for hydrochloric acid and nickel
Express as a balanced new ionic equation - identify all phases
B. dilute sulfuric acid with iron
Express as a balanced chemical equation identify all phases
Express as a balanced net ionic equation identify all phases
C. hydrobromic acid with magnesium
Express as a balanced chemical equation identify all phases
Express as a balanced net ionic equation edentify all phases
D. acetic acid, CH3COOH with zinc
Express as a balanced chemical equation identify all phases
Express as a balanced net ionic equation identify all phases
For each of the reactions, the net ionic equations and the molecular equations have been given, together with a list of all the phases.
A. 2HCl(aq) + Ni(s) NiCl2(aq) + H2(g) is the balanced molecular equation for the reaction between hydrochloric acid and nickel.
This reaction's net ionic equation is 2H+(aq) + Ni(s) Ni2+(aq) + H2(g)
B. Fe(s) + H2SO4(aq) FeSO4(aq) + H2(g) is the balanced chemical equation for the reaction of diluted sulfuric acid with iron.
Fe(s) (solid) is one of the substances' phases.
aqueous H2SO4 (aq)
FeSO4 (aq) (water)
H2(g) (gas)
This reaction's balanced net ionic equation is Fe(s) + H+(aq) Fe2+(aq) + H2(g)
C. The chemical reaction involving magnesium and hydrobromic acid has the following balanced equation:
Mg(s) + 2HBr(aq) = MgBr2(aq) + H2(g)
The chemicals come in the following phases: 2HBr(aq) (aqueous).
Magnesium (solid)
MgBr2(aq) (water-based)
H2(g) (gas)
This reaction's balanced net ionic equation is 2H+(aq) + Mg(s) Mg2+(aq) + H2(g)
D. Acetic acid reacting with zinc results in the chemical equation 2CH3COOH(aq) + Zn(s) Zn(CH3COO)2(aq) + H2(g)
The chemicals exist in two phases: 2CH3COOH(aq) (aqueous) and Zn(s) (solid).
Zn(CH3COO)aqueous 2(aq)
H2(g) (gas)
For this reaction, the balanced net ionic equation is 2H+(aq) + Zn(s) Zn2+(aq) + H2(g) + 2CH3COO-(aq).
For each of the reactions, the net ionic equations and the molecular equations have been given, together with all of the phases' names.
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Which is best supported by the data in the chart
Answer:
B
Explanation:
what does combustion mean
Answer:
combustion is a high-temperature exothermic redox chemical reaction between a fuel and an oxidant, usually atmospheric oxygen, that produces oxidized, often gaseous products, in a mixture termed as smoke.
Crabs are organisms that have five pairs of legs. In certain species of crabs, the fifth pair of legs has a flattened, paddle-like shape. Which of the statements below best explains how this adaptation has evolved?
A.Crabs were exposed to a toxin in the water.
B.Crabs with this adaptation have an advantage over other crabs to defend against predators in oyster beds.
C.Crabs needed this adaptation to dig into sand to find food so they developed the flattened paddle-like shape.
D.Crabs developed this adaptation because they needed to climb mangrove trees to hide themselves from predators.
Answer:
A
Explanation:
Crabs were exposed to a toxin in the water.
an atom Y has atomic number 13. It loses three electrons in order to be stable.
i.) What is the proton number and electron number of the atom
a)before it loses electrons
b) after losing electrons
ii.) name the tyoe of ion formed by the atom when it loses three electrons
Show by illustration
An atom Y has atomic number 13, so the no. of electrons and protons in it is 13 and after loses it will form cation and no. of electrons will become 10.
What is atomic number?Atomic number of an atom is equal to the number of electrons or protons present in that atom.
Before loses electronsNumber of protons and electrons in the atom before loses electron is 13, as given atomic number is 13.
After loses 3 electronsNumber of elctrons in the atom is 10 and number of protons is 13, as protons are present in the nucleus.
Name of the ion which is formed by the atom is cation as it bears positive charge on it.So, number of protons is always same i.e. 13 within the atom and no. of electrons after losing 3 electrons is 10.
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Lexi is researching crime rates. She is trying to make a conclusion about whether the crime rate changes with the population in each county in her state. What is the outcome variable (dependent variable) of her investigation?
Lexi is researching crime rates. The variable being measured or tested in an experiment is known as the dependent variable. The results of the participants' tests, for instance, since that is what is being measured, would be the dependent variable in a study looking at how tutoring affects test scores.
What is dependent variable ?In experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.
By dividing the total number of reported offenses by the population, the crime rate is determined. After then, the result is multiplied by 100,000. In 2014, for instance, there were 48,650 robberies committed in California, which had a population of 38,499,378. This results in a crime rate for robberies of 126.4 per 100,000.
Thus, the dependent variable in a study looking at how tutoring affects test scores.
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18 gram of sucrose is dissolved in 180 gram of water. Calculate the number of oxygen atoms in the solution.
answer: 6.684×10^24
We know, molecular mass of sucrose is 342 g/mol.
So, number of moles in 18 g is :
\(n_1 = \dfrac{342\ g/mol}{18\ g}\\\\n_1 = 0.053 \ moles\)
Also, number of moles of water is :
\(n_2 = \dfrac{180}{18} \\\\n_2 = 10 \ moles\)
We know, 1 mole of sucrose contain 11 moles of oxygen.
So,
\(n' = 0.053\times 11\\\\n'= 0.583\ moles\)
1 mole of water contain 1 mole of oxygen .
So, moles of oxygen in water are :
\(n'' = 10\ moles\)
Total number of moles, \(n' + n'' = 10.583 \ moles\) .
Number of oxygen atoms are :
\(N = 6.022 \times 10^{23}\times 10.583\\\\N = 6.37 \times 10^{24}\)
Hence, this is the required solution.
What is the pH of a 1 x 105 M KOH solution? (KOH is a strong base)
3.0
5.0
9.0
11.0
The pH of a 1 x 10^5 M KOH solution is 5.0.
What do you mean by pH of a solution?pH is a measure of the acidity or basicity (alkalinity) of a solution. It is defined as the negative logarithm (base 10) of the concentration of hydrogen ions (H+) in a solution:
pH = -log[H+]
A pH value of 7 is considered neutral, meaning that the concentration of hydrogen ions and hydroxide ions in the solution is equal (10^-7 M). A pH value below 7 indicates an acidic solution, meaning that the concentration of hydrogen ions is higher than the concentration of hydroxide ions. A pH value above 7 indicates a basic (or alkaline) solution, meaning that the concentration of hydroxide ions is higher than the concentration of hydrogen ions.
The pH of a solution can be calculated using the formula:
pH = -log[H+]
where [H+] is the concentration of hydrogen ions in the solution.
For a strong base like KOH, we can assume that it completely dissociates in water, producing equal amounts of hydroxide ions (OH-) and potassium ions (K+). Therefore, the concentration of hydroxide ions in a 1 x 10^5 M KOH solution is also 1 x 10^5 M.
Using the formula above, we can calculate the pH of the solution as:
pH = -log(1 x 10^-5)
pH = -(-5)
pH = 5
Therefore, the pH of a 1 x 10^5 M KOH solution is 5.0.
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a. 1.73 m =
cm
a. 7,651.27 m =
km
Answer:
A. 1.73 m = 172 cm
B. 7,651.27 m = 7.65127 Km
What is the basic mechanism that naturally creates freshwater within the hydrologic cycle? precipitation reverse osmosis evaporation runoff infiltration
The basic mechanism that naturally creates freshwater within the hydrologic cycle is through the processes of evaporation, precipitation, infiltration, and runoff.
1. Evaporation: Water from the Earth's surface (e.g., oceans, lakes, and rivers) is heated by the sun and turns into water vapor, rising into the atmosphere.
2. Condensation: The water vapor cools as it rises, condensing into clouds.
3. Precipitation: When the clouds become heavy enough, the water droplets combine and fall back to the Earth's surface as precipitation (e.g., rain, snow, or hail).
4. Infiltration: Precipitation that reaches the ground can infiltrate the soil, becoming part of the groundwater system.
5. Runoff: Precipitation that does not infiltrate the soil will flow over the land surface as runoff, eventually entering rivers, lakes, and oceans.
This continuous movement of water through the various stages is known as the hydrologic cycle. Note that reverse osmosis is not part of this natural process; it is a human-engineered method used for water purification.
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What might you expect for the value of S∘ (entropy) for butane, C4H10?
Entropies provided (Hint: entropy increases with increasing molecular complexity):
- CH4=186.3(J/mol*K)
-C2H6=229.6(J/mol*K)
-C2H8=270.3(J/mol*K)
Answer:
310.1 J/mol * K
Explanation:
since entropy increases with increasing molecular complexity The Value of s ( entropy ) for Butane, C4H10 will be
= 310.1 J/mol * K
Given that :
Methane ( CH4 ) = 186.3 J/mol*K
Ethane ( C2H6 ) = 229.6 J/mol*K
propane ( C3H8 ) = 270.3 J/mol*k
If you wanted to mix pure methane with water and end up with 90 gallons of 60% methane, how many gallons of each should you use?
You should use ________ gallons of water and _________ gallons of methane
To determine the amount of water and methane needed, we can set up a system of equations based on the desired composition of the mixture. you should use 36 gallons of water and 54 gallons of methane to obtain a mixture of 90 gallons with a methane concentration of 60%.
Let's assume x represents the number of gallons of water and y represents the number of gallons of methane. We have the following information: The total volume of the mixture is 90 gallons: x + y = 90. The mixture should be 60% methane: (y / (x + y)) * 100 = 60. Simplifying the second equation: y / (x + y) = 0.6. Now we can solve the system of equations: From equation 1, we can express x in terms of y: x = 90 - y. Substituting this into equation 2: y / ((90 - y) + y) = 0.6. Simplifying further: y / 90 = 0.6. Solving for y: y = 0.6 * 90. y = 54. Now we can find x using equation 1: x = 90 - y. x = 90 - 54. x = 36. Therefore, you should use 36 gallons of water and 54 gallons of methane to obtain a mixture of 90 gallons with a methane concentration of 60%.
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