Why the pressure in a fluid increases linearly downwards as the depth/distance from the free surface increases .

Answers

Answer 1

The pressure in a fluid increases linearly downwards as the depth/distance from the free surface increases due to the weight of the fluid above it. This is known as hydrostatic pressure. As the depth/distance from the free surface increases, the amount of fluid above it also increases, resulting in a greater weight acting on the fluid at that depth.

This weight creates a force that pushes down on the fluid, causing an increase in pressure. This pressure is transmitted equally in all directions and acts perpendicular to any surface in contact with the fluid.
The increase in pressure with depth is proportional to the density of the fluid, acceleration due to gravity, and the depth itself. This is known as the hydrostatic equation, which can be expressed as P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth.
In summary, the pressure in a fluid increases linearly downwards as the depth/distance from the free surface increases due to the weight of the fluid above it. This phenomenon is known as hydrostatic pressure and can be calculated using the hydrostatic equation.

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Related Questions

what temperature does agar solidify at? select one: a. 90 °c b. 100 °c c. 42 °c d. none of the above

Answers

The temperature does agar solidify at  42 °C. So from the given options,  option C is correct.

Agar is a gelatinous substance derived from seaweed, specifically red algae. It is commonly used in laboratory settings as a solidifying agent for culture media. Agar has a unique property that allows it to transition between a liquid and a solid state at specific temperatures.

When agar is heated, it melts and becomes a liquid around 85-95 °C. This melting point varies slightly depending on the type and purity of the agar used. As the heated agar cools down, it starts to solidify again, forming a gel. The temperature at which agar solidifies is typically around 40-45 °C.

The solidification temperature of agar is crucial in laboratory work, particularly in microbiology. It allows researchers to prepare solid culture media by adding nutrients and microorganisms to liquid agar at a temperature above its solidification point and then allowing it to cool and solidify, providing a solid surface for the microorganisms to grow on.

In conclusion, agar solidifies at a temperature of approximately 42 °C. This property makes it a versatile substance in laboratory settings for creating solid culture media, facilitating the growth and study of microorganisms under controlled conditions.

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Which term describes gases as small, energetic particles moving around and bouncing into each other?.

Answers

The term that describes gases as small, energetic particles moving around and bouncing into each other is "kinetic theory of gases."

According to this theory, gases are composed of tiny particles, such as molecules or atoms, that are in constant random motion. These particles move around rapidly, colliding with each other and with the walls of their container. The kinetic energy of these particles gives gases their unique properties, such as their ability to expand to fill their container and their low density compared to liquids and solids.

In summary, the kinetic theory of gases helps to explain the behavior and properties of gases as a result of the motion and collisions of their individual particles.

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What is the maximum number of grams of PH3 that can be formed when 43.00 g of phosphorous react with excess hydrogen to form PH3? Round your answer to two digits after the decimal point.
P4(g) + 6H2(g) --> 4PH3(g)

Answers

The maximum number of grams of \(PH_3\) that can be formed when 43.00 g of phosphorous react with excess hydrogen to form \(PH_3\) in \(P_4(g) + 6H_2(g) --- > 4PH_3(g)\)  is 179.42 g.

We must use stoichiometry to estimate the molar mass of phosphine       (\(PH_3\)) in order to compute the maximum amount of grammes of \(PH_3\) that can be produced.

Let's begin by figuring out the molar mass of phosphorus (\(P\)):

P has a molar mass of 31.00 g/mol.

Next, we can apply the balanced equation's calculated molar ratio of phosphorus (\(P_4\)) to phosphine (\(PH_3\)):

1 mol P4 interacts to create 4 mol \(PH_3\).

Let's now determine how many moles of phosphorus (\(P_4\)) there are:

The formula for calculating the number of moles of \(P_4\) is:

mass of \(P_4\) / molar mass of \(P_4\)= 43.00 g / 31.00 g/mol = 1.38 mol (rounded to two decimal places).

We can determine the number of moles of phosphine (\(PH_3\)) produced using the molar ratio:

The formula for the number of moles of \(PH_3\):

4 mol \(PH_3\)/mol P4 * 1.387 mol \(P_4\) = 5.54 mol (rounded to two decimal places)

Finally, we can figure out how much \(PH_3\) weighs:

To the nearest two decimal places, the mass of \(PH_3\) is calculated as follows:

5.548 moles * (31.00 g/mol + 3 * 1.01 g/mol) = 179.42 g.

Therefore, when 43.00 g of phosphorus combines with too much hydrogen, the most \(PH_3\) that may be produced is 179.42 g.

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Ba(OH)₂ + 2 HBr --> BaBr₂ + 2 H₂O is this a double replacement reaction

Answers

Answer:

The answer is Yes

Explanation:

Barium Hydroxide + Hydrogen Bromide = Barium Bromide + Water =

Double Displacement

It is necessary to add zncl 2 to promote the reaction of hcl with some alcohols while these same alcohols react with hbr quite readily. explain.

Answers

It is necessary to add zncl 2 to promote the reaction of hcl with some alcohols as this reaction is reversible to make it irreversible ZnCl2 is used.

ZnCl2 is used as Lewis acid catalyst. Since Cl- is weaker nucleophile than Br. The lewis acid ZnCl2 coordinate with oxygen of alcohol and proceed the reaction in forward direction.

HCl is less reactive with alcohols whereas the bond between H and Cl is stronger than HBr and HI.

Hence its reaction with alcohols need a catalyst ZnCl2, which helps in the breaking of bond between H and Cl.

Therefore, Luca's reagent is used in the reaction of HCl and alcohol.

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This carbonyl, in the presence of a base (heat if needed). would react with itself and underan. Both Aldol addition and condensation Aldol condensation Neither aldol addition nor condensation

Answers

Aldol condensation between the carbonyl and itself might result in the creation of this alpha, beta-unsaturated ketone or aldehyde. Aldol condensation is the appropriate response.

When a carbonyl compound is treated with a base, it can undergo an aldol reaction in which an enolate ion is formed. This enolate ion can then attack another molecule of the carbonyl compound, leading to the formation of a beta-hydroxy ketone or aldehyde. This intermediate can then undergo a dehydration reaction, leading to the formation of an alpha,beta-unsaturated ketone or aldehyde, which is the product of the aldol condensation. So, in the presence of a base, the carbonyl can undergo aldol condensation with itself, leading to the formation of this alpha, beta-unsaturated ketone or aldehyde. The correct answer is Aldol condensation.

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give examples of five symmetrical and five unsymmetrical ethers

Answers

Symmetrical ethers have the same group or atom on both sides of the oxygen atom, while unsymmetrical ethers have different groups or atoms on either side of the oxygen atom.

Here are some examples:

Symmetrical ethers:

Dimethyl ether (CH3-O-CH3)

Diethyl ether (C2H5-O-C2H5)

Diisopropyl ether [(CH3)2CH-O-(CH3)2CH]

Dibutyl ether (C4H9-O-C4H9)

Diphenyl ether (C6H5-O-C6H5)

Unsymmetrical ethers:

Methyl ethyl ether (CH3-O-C2H5)

Ethyl propyl ether (C2H5-O-C3H7)

Methyl isopropyl ether (CH3-O-(CH3)2CH)

Methyl phenyl ether (CH3-O-C6H5)

Ethyl benzyl ether (C2H5-O-C6H5CH2)

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of the encircled carbonyl groups in the compound below, how many of these groups could undergo reduction with sodium borohydride?

Answers

The part 2 in the attached image will undergo reduction with sodium borohydride.

Sodium borohydride (NaBH₄) is a commonly used reducing agent in organic chemistry. It is primarily used to reduce carbonyl groups (aldehydes and ketones) to their corresponding alcohols. Sodium borohydride can also reduce some other functional groups, such as imines and acid chlorides, but its reactivity towards these groups is much lower compared to carbonyls.

In general, the carbonyl groups in a molecule are the most likely functional groups to undergo reduction with sodium borohydride. Other functional groups such as alkenes, alkynes, aromatic rings, and alcohols are generally unreactive towards sodium borohydride.

Therefore, if your compound contains any carbonyl groups (such as aldehydes or ketones), those groups would be the most likely candidates for reduction with sodium borohydride. Part 2 is a carbonyl group, hence it will react.

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of the encircled carbonyl groups in the compound below, how many of these groups could undergo reduction

7. Which of the following compounds is the most soluble in water?
O propanoic acid
O l-bromopropane
O propanal
O propane

Answers

The answer is A obviously

Answer:

propanoic acid

Explanation:

i hope this helps!

A 4 feet tall student went summing pool. He saw depth of water in pool less than 4 feet.Will he drowned.Write reason

Answers

Answer:

Question says , the height of the student = 4 feet, ... This means, if the student goes for swimming in the pool, however he does not know swimming, he will not be drowned until he is suffering from an injury or external force.

It depends if the water is less then where his face is, if it’s below his face then no, if it’s above... then probably.

What does towels represents on earth?

Answers

The build up sediment of the sea bottom

A water molecule is held together by ___ covalent bonds,
meaning there are a total of __shared electrons in the
molecule.

Answers

2 covalent bonds

2 pairs or 4 electrons

Apply scientific knowledge and understanding to determine how many grams of carbon dioxide are produced from the combustion of 250. g of ethane, C3H8 when O2 is in excess:

C3H8 + 5O2 ---> 3CO2 + 4H2O

Answers

Answer:

749 grams CO₂

Explanation:

To find the amount of carbon dioxide produced, you need to (1) convert grams C₃H₈ to moles C₃H₈ (via molar mass from periodic table), then (2) convert moles C₃H₈ to moles CO₂ (via mole-to-mole ratio via reaction coefficients), and then (3) convert moles CO₂ to grams CO₂ (via molar mass from periodic table). It is important to arrange the ratios/conversions in a way that allows for the cancellation of units. The desired unit should be in the numerator. The final answer should have 3 significant figures because the given value (250. grams) has 3 sig figs.

Molar Mass (C₃H₈): 3(12.01 g/mol) + 8(1.008 g/mol)

Molar Mass (CH): 44.094 g/mol

1 C₃H₈ + 5 O₂ ---> 3 CO₂ + 4 H₂O

Molar Mass (CO₂): 12.01 g/mol + 2(16.00 g/mol)

Molar Mass (CO₂): 44.01 g/mol

250. g C₃H₈         1 mole C₃H₈           3 moles CO₂              44.01 g
------------------  x  ----------------------  x  ----------------------  x  --------------------  =
                               44.094 g              1 mole C₃H₈            1 mole CO₂

= 749 grams CO₂

Which of the following groups was not excluded from the original construction of the American political system?

White Women

Wealthy Land-Owning White Males

Native Americans

Formerly Enslaved Blacks

2). Which of the following political ideologies emphasizes the idea that the government should take a "hands-off" approach in most if not all matters of economic prosperity.

None of the Provided Responses are Correct

Democratic Socialism

Libertarianism

Liberalism

Conservatism

3). While largely not known, ideals drawn from __________ played a role in the development of the U.S. Constitution and the American Political System.

The Greeks

The Iroquois Confederacy

The Ancient Athenians

The Roman Republic

Answers

1. White Women was not excluded from the original construction of the American political system. The correct option is (A) White Women.

Among the groups that were not excluded from the original construction of the American political system were white women, wealthy land-owning white males, and, to some extent, formerly enslaved blacks. Native Americans, on the other hand, were excluded and treated as second-class citizens.

2. Libertarianism emphasizes the idea that the government should take a "hands-off" approach in most if not all matters of economic prosperity. The correct option is (C) Libertarianism. Libertarianism is a political ideology that emphasizes the importance of individual freedom, limited government intervention, and free-market capitalism. It is an ideology that is diametrically opposed to socialism and believes that the government should not interfere in people's lives unless it is absolutely necessary.

3. The Iroquois Confederacy played a role in the development of the U.S. Constitution and the American Political System. The correct option is (B) The Iroquois Confederacy. The Iroquois Confederacy, a native North American tribe, was known for its confederate government system, which inspired the U.S. Constitution's framers.

The idea of a representative government, checks and balances, and the division of powers were all influenced by the Iroquois Confederacy.

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What factor(s) affect the solubility of a slightly soluble salt? Choose all correct answers.
Particle size
pH
Formation of complex ions
The presence of uncommon ions
Temperature
The presence of oxygen gas
The amount of undissolved solid present
The presence of a common ion

Answers

The factors that affect the solubility of a slightly soluble salt are; pH, temperature, the presence of common or uncommon ions, the amount of undissolved solid present, and the formation of complex ions. Option, B, C, D, E, G, and H are correct.

The solubility of a slightly soluble salt refers to the maximum amount of the salt that can dissolve in a given amount of solvent at a particular temperature and pressure. A slightly soluble salt is a compound that has a low solubility in a particular solvent, which means that only a small amount of it can dissolve in the solvent.

The solubility of a slightly soluble salt can be affected by various factors, such as pH, temperature, the presence of common or uncommon ions, the amount of undissolved solid present, and the formation of complex ions. These factors can alter the equilibrium between the dissolved and undissolved salt, leading to changes in the solubility of the salt.

Hence, B. C. D. E. G. H. is the correct option.

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--The given question is incomplete, the complete question is

"What factor(s) affect the solubility of a slightly soluble salt? Choose all correct answers. A) Particle size B) pH C) Formation of complex ions D) The presence of uncommon ions E) Temperature F) The presence of oxygen gas G) The amount of undissolved solid present H) The presence of a common ion."

Which best describes the forces in the nucleus of a stable atom?
O A. The weak nuclear force is greater than the electrostatic force.
O B. The electrostatic force is greater than the strong nuclear force.
O c. The weak nuclear force balances out the strong nuclear force.
O D. The strong nuclèar force balances out the electrostatic force.

Answers

Best describes the forces in the nucleus of a stable atom is the strong nuclear force balances out the electrostatic force.

The center region of an atom, which is composed of two different types of particles, is known as the atomic nucleus. Protons with positive charges and neutrons with no charges are present. Because of the strong electrostatic attraction between positively charged protons, atomic nuclei should be unstable, however they occasionally remain stable for more than a billion years.

The stability of nuclei suggests that protons and neutrons are attracted to one another by an attractive force. The strong nuclear force, also known as the residual strong force, is responsible for every individual atomic nucleus' stability. Neutrons and protons are held together by this basic force of nature. It is used to explain the atom's and its nucleus' stability, which is otherwise puzzling. It can be used to explain the origin of all atoms and, consequently, the origin of all known simple and complex molecules.

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True or False a. Sodium chloride is the main salt found in sea water. ……………………………………………………………………. b. Potassium bromide salt is not found in sea water ……………………………………………………………………. c. Both evaporation and electric conduction techniques prove that sea water contain the dissolved salts. …………………………………………………………………….. d. The amount of fresh water is greater than 5% of the total Earth water. …………………………………………………………………….. e. In water treatment process, filter membrane is used to remove fine particles and other impurities from water. …………………………………………………………………………....

Answers

Answer:

A is true NaCl

B is false K2Br

C is true

D false its only 0.03 percent

E is true

please help fast thank yuo

please help fast thank yuo

Answers

Answer:

what is your question tell may i can help you

Answer:

decrease as we go down a group I know ionisation energy increases from left to right across the periodic table


Set up and solve a system of linear equations to balance the
following chemical reaction:
Limestone, CaCO3, neutralizes the acid, H3O, in acid rain by the
following unbalanced equation:
H3O + CaCO3 yields
→ H2O+Ca+CO2

Answers

A system of linear equations to balance the following chemical reaction:

Limestone, CaCO₃, neutralizes the acid, H₃ O, in acid rain is:

2H₃O + CaCO₃ → 3H₂O + Ca + CO₂

To balance the chemical equation:

H₃O + CaCO₃ → H₂O + Ca + CO₂

We need to ensure that the number of atoms of each element is the same on both sides of the equation.

Let's assign variables to the coefficients of each compound:

H₃O: x

CaCO₃: y

H₂O: z

Ca: a

CO₂: b

Now, we can set up the system of equations based on the number of atoms for each element:

For hydrogen (H):

3x = 2z

For oxygen (O):

3x + 3y = 2z

For calcium (Ca):

y = a

For carbon (C):

y = b

For calcium (Ca):

a = 1

Solving this system of equations will give us the balanced coefficients. Let's solve it:

From the equation y = a, we have y = 1.

From the equation y = b, we have b = 1.

Substituting b = 1 into the equation 3x + 3y = 2z, we have:

3x + 3 = 2z

From the equation 3x = 2z, we have x = (2/3)z.

Substituting x = (2/3)z into the equation 3x = 2z, we have:

3(2/3)z = 2z

2z = 2z

This equation is true for any value of z, indicating that z can take any value.

Therefore, we can choose z = 3 to simplify the coefficients:

x = (2/3)z = (2/3)(3) = 2

y = 1

z = 3

a = 1

b = 1

Thus, the balanced equation is:

2H₃O + CaCO₃ → 3H₂O + Ca + CO₂

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At the equator, the sun shine heats the air and
causes it to rise. At the north and south pole
there is less direct sun to warm the air, so this
air ______ (blank)
1. rinses
2. stinks
3. rises
4. sinks

Answers

4. sinks ) The opposite of the air rising towards the sun.
Number 4, sinks! Welcome :)

Why is corn considered a material resource and an energy resource?

Answers

Answer:

This is because Corn is grown on land and has important values to man .These values include as a source of food for man and animals. It is also used as raw materials for the production of certain goods such as flour etc.

It is an energy resource because fermentation of corn gives rise to ethanol fuel which is used as a source of power to run machines and other equipment.

What is the volume of 5 moles of oxygen gas at r.t.p ?

Answers

Explanation:

\(5mol \times \frac{22.4lit}{1mol} = 112lit\)

the valency of metal 'm' 1+. give the formula of its oxide​

Answers

Answer:

\(M_{2}O\)

Explanation:

Anything oxide is a compound with oxygen, and since oxygen is -2, it requires two of the metal's +1 to make it zero

In other words:

2(+1) + (-1) = 0

An ion has 26 protons, 28 neutrons, and 24 electrons. Which element is this ion? a. Xe b. Ni c. Fe d. Mg e. Cr

Answers

The ion that has 26 protons, 28 neutrons, and 24 electrons is Iron (Fe) (option c).

An element can be determined by the number of protons in the nucleus of its atom. The number of protons present in an atom is referred to as the atomic number of the element.

This means that the number of protons in an atom is unique to a specific element.

Iron (Fe) has 26 protons in the nucleus of its atom.

Therefore, an ion with 26 protons is an ion of the element iron (Fe).

Magnesium (Mg) has 12 protons, Chromium (Cr) has 24 protons, Xenon (Xe) has 54 protons and Nickel (Ni) has 28 protons.

Thus, an ion which has 26 protons, 28 neutrons, and 24 electrons  is Fe (option c)

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Which statement accurately describes how scientists collect data?
A. The units used to record data are different depending on the country.
B. More complex devices are always better for collecting data.
c. The method used to collect data depends on the desired data.
d. Simple devices are always better for collecting data.

Answers

Answer:

C

Explanation:

Necesito ayuda 3.- Anota las características que correspondan a cada tipo de hibridación. Tipo de hibridación, Arreglo geométrico, Angulo de enlace entre dos orbitales, No. De átomos que se pueden unir al carbono, Tipos de enlaces en el carbono, Tipo de compuesto donde se presenta sp3 sp2 sp

Answers

Answer:

ver explicacion

Explanation:

Los orbitales híbridos se obtienen mediante una combinación de orbitales atómicos.

En un átomo de carbono con hibridación sp3, el átomo de carbono es tetraédrico con un ángulo de enlace de 109,5 grados. Se pueden unir cuatro enlaces simples al átomo de carbono. Se pueden unir un total de cuatro átomos al carbono. Se puede unir un total de cuatro átomos al carbono, lo que ocurre en alcanos como el metano

Para un átomo de carbono con hibridación sp2, hay dos enlaces dobles y dos enlaces simples unidos al átomo de carbono que tiene una geometría plana trigonal con un ángulo de enlace de 120 grados. Se pueden unir un total de dos átomos al carbono. Se pueden unir un total de dos átomos al carbono. Esto ocurre en alquenos como el eteno.

Un átomo de carbono con hibridación sp tiene un ángulo de enlace de 180 grados y tiene una geometría lineal con un enlace triple y un enlace sencillo. Solo se puede unir un átomo al carbono. Esto ocurre en alquinos como el etino.

Molar Mass:
Find the molar masses of the following compounds. Also report the number of atoms in the compound:
1) NaBr
2) PbSO4
3) Ca(OH)2
4) Na3PO4
5) (NH4)2CO3
6) C6H12O6
7) Fe3(PO4)2
8) (NH4)2S
9) Zn(C2H3O2)2
10) AgF

Answers

Answer:

Atomic models are important because, they help us visualize the interior of atoms and molecules, and thereby predicting properties of matter.

Explanation:

We study the various atomic models in our course of study because, it is important for us to know, how did people come to the present concept of an atom. How did physics evolve from classical to quantum physics.

All these are important for us to know and thus, knowledge about various atomic models, their discoveries and drawbacks and finally improvements based on scientific evidence present at that time is important for us to understand the underlying theory very well.

Explanation:

A DAY IN THE LIFE OF METIS JOURNAL. I WROTE IT HOPE U LIKE IT XD

We, who live in the west, were Nomadic. So we always moved from place to place to hunt buffalo and other fur-bearing animals. And now again we have to shift everything we collected , like, all the essential needs we collected. It’s really hard to shift stuff, But when you move to a new place you get to see new beautiful places. They are just so satisfying to see! It’s like all my work(like the shifting work) is paid off. I love it! We always meet the Hudson’s bay company employees, and give them furs which we took from the bissons and other furry animals we hunted. And in exchange they give us their (Hudson’s Bay company) goods. Which is good! Because then we or I won't be able to enjoy that delicious pemmican!

 The one reason that makes me proud of my parents is that because of them I am like a translator for both sides in the fur trade! Anyways coming back to the present. As I said before, we were moving today to another place, But on the way some people along with my father will ride the famous York boats carrying supplies to fur posts. I begged my father to take me with him! And as usual he gave me some silly reason for me to stay. And now since I don’t have anything to do I will-..Nevermind, My mom’s calling me. Okay after helping my mom keep the fur posts into the York boats me , my mom, and the others are just relaxing and enjoying nature just to take a break. Since, I am so obsessed with my Journal notebook today I’m just going to sit here and right what comes to my mind. I’m not like the others who always seem to be talking with someone. I like my own space! 

I kind of miss my dad already, but he and his fellow members need to travel the waterways from the red river further west and north to hudson bay. These red river carts also travel the trek back and forth over land to St. Paul, Minnesota and to posts in saskatchewan.  Speaking about the red river, the only large settlement in the region is the red colony. About 12000 people lived in this colony around Fort Garry. Some were the original Selkirk settlers or their descendents. They had come from Scotland with lord Selkirk when he established the colony in 1811. Many of these original settlers were poor farmers who had been displaced  from their lands in scotland. They had endured many hardships in the early years of settlement, including foods, hunger, and sickness. I love studying about other colonies, cultures , history etc.

How much energy does it take to raise the temperature of 80g of aluminium 15 degree Celsius

Answers

Answer :The specific heat of aluminium tells you the amount of energy needed to increase the temperature of 1 g of aluminium by 1∘C . You can thus say that in order to increase the temperature of 1 g of aluminium by 1∘C , you need to supply it with 0.214 cal of heat.

Explanation:

Answer:

\(\boxed {\boxed {\sf 1080 \ Joules}}\)

Explanation:

We are asked to calculate the energy needed to raise the temperature of 80 grams of aluminum by 15 degrees Celsius.

We are given the mass and change in temperature, so we will use the following formula:

\(q=mc\Delta T\)

The mass is 80 grams, the change in temperature is 15 degrees Celsius, and aluminum's specific heat capacity is 0.9 Joules per gram degree Celsius.

m=80 g ΔT= 15°C c= 0.9 J/g °C

Substitute the values into the formula.

\(q= (80 \ g)(0.9 \ J/g \textdegree C)(15 \textdegree C)\)

Multiply the first two numbers together. The units of grams will cancel out.

\(q= (80 \ g * 0.9 \ J/g \textdegree C)(15 \textdegree C)\)

\(q= (80 * 0.9 \ J/\textdegree C)(15 \textdegree C)\)

\(q= 72 \ J / \textdegree C (15 \textdegree C)\)

Multiply again. This time, the units of degrees Celsius cancel.

\(q= 72 \ J * 15\)

\(q= 1080 \ J\)

Raising the temperature of 80 grams of aluminum by 15 degrees Celsius requires 1080 Joules of energy.

The total pressure of gas collected over water is 740.0 mmHg and the temperature is 24.0°C What is the pressure of

hydrogen gas formed in mmHg?

Answers

The pressure of the hydrogen gas formed is given by its partial pressure at

the given temperature.

The pressure of the hydrogen gas formed is approximately 717.38 mmHg.

Reasons:

The pressure of the hydrogen gas formed is given by the difference

between the vapor pressure of the gas collected and the vapor pressure of

water.

The vapor pressure of water at 24.0 °C is given by the Clausius-Clapeyron

Equation as follows;

\(ln \left(\dfrac{P_2}{P_1} \right) = \dfrac{\Delta H_{vap}}{R} \cdot \left(\dfrac{1}{T_1} - \dfrac{1}{T_2} \right)\)

Where;

P₁ = The partial pressure at temperature, T₁

P₂ = The pressure at temperature, T₂

We get;

\(ln \left(\dfrac{P_2}{23.8 \ mmHg} \right) = \dfrac{44,000 \ J/mol}{8.3145 \ J/(mol \cdot K)} \cdot \left(\dfrac{1}{298 \ K} - \dfrac{1}{297.15 \ K} \right)\)

The pressure of water at 24.0 °C, P₂ ≈ 22.62 mmHg

The vapor pressure of water at 24.0°C is 22.62 mmHg

Therefore;

The pressure of the hydrogen gas formed ≈ 740.0 mmHg - 22.62 mmHg = 717.38 mmHg

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a plate with a final dilution factor of 10-4 was found to contain 172 cfu. the ocd (original culture density) of the sample would be

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The original culture density (OCD) of a sample density would be 1,720,000 colony-forming units per unit volume.

The dilution factor is the ratio of the volume of the original sample to the volume of the final diluted sample. In this case, the final dilution factor is 10^-4, which means that the original sample was diluted by a factor of 10,000.

To calculate the OCD, we use the formula: OCD = CFU / Dilution Factor. In this case, the CFU count is given as 172 and the dilution factor is 10^-4.

Using the formula, OCD = 172 / 10^-4, we can simplify the calculation by converting the dilution factor to a whole number. 10^-4 is equivalent to 1 / 10,000.

Substituting the values, OCD = 172 / (1 / 10,000). Dividing by a fraction is equivalent to multiplying by its reciprocal, so OCD = 172 * 10,000.

Calculating the product, OCD = 1,720,000. Therefore, the original culture density of the sample would be 1,720,000 colony-forming units per unit volume.

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