Gas Laws and Charles's Law Quiz

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Questions and Answers

What effect does a one-degree increase in temperature have on the volume of a gas at 0℃ according to Charles's law?

  • The volume decreases by $V_o/273$
  • The volume increases by $V_o/273$ (correct)
  • The volume remains constant
  • The volume doubles

Which equation correctly represents the relationship between volume and absolute temperature according to Charles's law?

  • $V_1 = P imes T_1$
  • $V_1 = P / T_1$
  • $V_1 = k imes T_1$ (correct)
  • $V_1 = T_1 / k$

What happens to the volume of a gas at -273°C according to Charles's law?

  • It reaches its maximum volume
  • It equals the volume at 0°C
  • It becomes negative
  • It becomes zero (correct)

Which statement best defines Charles's law?

<p>Volume is directly proportional to absolute temperature at constant pressure (C)</p> Signup and view all the answers

What is the formula used to express the relationship between the volumes and temperatures of two gas states according to Charles's law?

<p>$ rac{V_1}{V_2} = rac{T_1}{T_2}$ (B)</p> Signup and view all the answers

Which condition is necessary for Charles's law to hold true?

<p>Constant pressure (B)</p> Signup and view all the answers

What occurs when the temperature of a gas reaches absolute zero, according to the concept of absolute temperature?

<p>All gas molecules cease movement (A)</p> Signup and view all the answers

What does the combined gas equation specifically account for?

<p>The simultaneous effects of temperature and pressure on volume (A)</p> Signup and view all the answers

What is the molar mass of acetylene (C2H2)?

<p>26 g/mol (C)</p> Signup and view all the answers

Using the ideal gas law, what is the volume of 5.0 g of acetylene at 50°C and 740 mm Hg?

<p>8.51 L (A)</p> Signup and view all the answers

Calculate the pressure of a gas that occupies 1 L at 27°C using the ideal gas equation.

<p>24.63 atm (B)</p> Signup and view all the answers

What is the mass of oxygen gas occupying 320 ml at 17°C and 2 atm?

<p>0.860 g (B)</p> Signup and view all the answers

According to Charles's law, what is the final temperature when the gas volume increases from 350 ml to 400 ml at a constant pressure?

<p>357.71 K (A)</p> Signup and view all the answers

What is the relationship described by Boyle's law?

<p>Volume is inversely proportional to pressure at constant temperature. (B)</p> Signup and view all the answers

According to Charles's law, how does volume relate to absolute temperature?

<p>Volume is directly proportional to absolute temperature at constant pressure. (D)</p> Signup and view all the answers

What does the combined gas equation represent?

<p>The relationship between pressure, volume, and temperature of a gas. (B)</p> Signup and view all the answers

Which of the following gases behaves most like an ideal gas?

<p>Helium (He) (B)</p> Signup and view all the answers

What is the value of the universal gas constant R based on the given conditions at NTP?

<p>0.0821 atm.L/mol.K (A)</p> Signup and view all the answers

What happens to the volume of a gas if the absolute temperature is halved while pressure remains constant?

<p>The volume is halved. (D)</p> Signup and view all the answers

Which equation represents the relationship between pressure, volume, and temperature for a given mass of gas?

<p>$PV = nRT$ (A)</p> Signup and view all the answers

What characterizes a real gas in comparison to an ideal gas?

<p>Real gases deviate from ideal behavior at low temperature and high pressure. (A)</p> Signup and view all the answers

What will be the final pressure of the hydrogen gas when mixed in a 5 litre vessel?

<p>225 mm of Hg (B)</p> Signup and view all the answers

How much CO2 gas will the fire extinguisher deliver at NTP given it contains 4.4 kg?

<p>2238.33 litres (B)</p> Signup and view all the answers

What is the molecular weight of CO2 used in the calculations?

<p>44 (A)</p> Signup and view all the answers

Given the mass of a gas and its initial conditions, which equation is correctly used to find the molecular mass?

<p>PV=M/RT (C)</p> Signup and view all the answers

What is the final pressure of the oxygen gas when mixed in a 5 litre vessel?

<p>40 mm of Hg (A)</p> Signup and view all the answers

What is the total pressure of the gaseous mixture of hydrogen and oxygen?

<p>265 mm of Hg (D)</p> Signup and view all the answers

Which value corresponds to the universal gas constant R in atm litre K-1 mol-1 used in the gas law equations?

<p>0.0821 (A)</p> Signup and view all the answers

To convert 730 mm Hg to atm for calculations, which of the following approximates the conversion correctly?

<p>0.96 atm (A)</p> Signup and view all the answers

What is the final calculated volume of the gas based on the provided formula?

<p>1.127 litre (B)</p> Signup and view all the answers

How can the molecular mass of the gas in the evacuated flask be determined?

<p>Using the ideal gas equation rearranged to find M (B)</p> Signup and view all the answers

What is the molecular mass of gas A based on the given parameters?

<p>48.93 g.m. (B)</p> Signup and view all the answers

If 3g of gas B is added to the flask and the pressure changes, what is the ratio of molecular masses of gases A and B?

<p>1:3 (A)</p> Signup and view all the answers

What is the pressure expected from 2 moles of ammonia in a 5-litre flask at 27°C using the ideal gas law?

<p>9.852 atm (C)</p> Signup and view all the answers

What happens to the pressure exerted by a volatile liquid when the temperature of the system increases?

<p>Pressure increases due to increased vaporization (D)</p> Signup and view all the answers

What is the molecular mass of the gas if the weight of gas in the evacuated flask is 0.977 g?

<p>80.20 g.m. (A)</p> Signup and view all the answers

What would be the pressure of 0.50 g.m. of a volatile liquid in a 500 ml globe at 118°C when vaporized?

<p>190 mm Hg (A)</p> Signup and view all the answers

What is the molecular mass of the given liquid calculated using the formula M = ( \frac{ WRT }{ PV } )?

<p>59.76 g.m (D)</p> Signup and view all the answers

When the balloon is taken from 5°C to 25°C, what is the final volume of the gas inside based on Charles's Law?

<p>1.045 ltr (B)</p> Signup and view all the answers

How many moles of an ideal gas are present in 50 ml exerting a pressure of 770 mm Hg at 25°C?

<p>2.07 x 10^-3 (C)</p> Signup and view all the answers

According to Dalton's law of partial pressure, how is the total pressure of a gas mixture determined?

<p>It is the sum of the partial pressures of the component gases. (A)</p> Signup and view all the answers

What do n₁, n₂, and n₃ represent in the context of Dalton's law of partial pressure?

<p>The number of moles of each component gas (A)</p> Signup and view all the answers

In the calculation for the number of moles, which of the following values is incorrectly substituted when using the ideal gas law?

<p>Temperature as 273 K (B)</p> Signup and view all the answers

If pressure increases while temperature and volume remain constant, what happens to the number of moles in accordance with the ideal gas law?

<p>The number of moles decreases. (D)</p> Signup and view all the answers

What happens to the balloon's gas volume according to Charles's Law if ambient temperature exceeds the initial temperature?

<p>The volume increases. (B)</p> Signup and view all the answers

Flashcards

Charles's Law

A law stating that the volume of a gas increases or decreases by 1/273 of its initial volume at 0°C for every 1°C rise or fall in temperature, keeping the pressure constant.

Absolute Zero

The temperature at which the volume of an ideal gas theoretically becomes zero. It is equal to -273°C or 0 Kelvin.

Charles's Law Formula

The relationship between volume and temperature of a gas, expressed as V₁/T₁ = V₂/T₂, where V₁ and V₂ are the initial and final volumes, and T₁ and T₂ are the initial and final absolute temperatures.

Charles's Law in words

The volume of a given mass of a gas is directly proportional to its absolute temperature when pressure remains constant.

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Charles's Law Graph

A graph that plots the volume of a gas against its temperature at constant pressure. The plot results in a straight line, and extrapolation of this line intersects the temperature axis at -273°C (absolute zero).

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Combined Gas Law

A gas law combining Boyle’s Law and Charles’s Law, demonstrating the simultaneous effect of pressure and temperature on volume.

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Combined Gas Law Formula

The relationship between pressure, volume, and temperature of a gas, expressed as P₁V₁/T₁ = P₂V₂/T₂, where P₁, V₁, and T₁ are the initial pressure, volume, and temperature, and P₂, V₂, and T₂ are the final pressure, volume, and temperature.

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Charles's Law Equation

A gas equation that establishes the relationship between the volume of a gas and its absolute temperature. It can be written as V = constant × T.

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SI Unit of Molar Gas Constant (R)

The SI unit for molar gas constant (R) is mole-1 K-1.

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Ideal Gas Law

The ideal gas law describes the relationship between pressure (P), volume (V), temperature (T), and the number of moles (n) of an ideal gas. It is represented by the equation: PV = nRT, where R is the molar gas constant.

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Dalton's Law of Partial Pressures

The pressure of a mixture of gases is equal to the sum of the partial pressures of the individual gases. This means that the total pressure is the sum of the pressures that each gas would exert if it were alone in the container.

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NTP

NTP stands for Normal Temperature and Pressure. It is a standard set of conditions used to compare the properties of gases.

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STP (Standard Temperature and Pressure)

The standard temperature and pressure (STP) are widely used as a reference point for comparing the properties of gases. It is defined as a temperature of 0°C (273.15 K) and a pressure of 1 atmosphere (atm).

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Molar Volume of Gas at STP

The volume of one mole of any gas at STP (standard temperature and pressure) is 22.4 liters. This is called the molar volume of an ideal gas.

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Fire Extinguisher

A fire extinguisher uses the pressure created by a compressed gas to expel the extinguishing agent, which cools the fire and displaces the oxygen, preventing further combustion.

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Boyle's Law

Describes the relationship between the pressure and volume of a fixed amount of gas at a constant temperature. As the volume of the gas decreases, the pressure increases proportionally.

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Ideal Gas

A hypothetical gas that perfectly obeys all gas laws at all temperatures and pressures. Ideal gases do not exist in reality, but many real gases behave like ideal gases at low pressures and high temperatures.

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Real Gas

A gas that does not perfectly obey the gas laws, especially under high pressure or low temperature conditions. Real gases have intermolecular forces and particle volume, affecting their behavior at certain conditions.

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Ideal Gas Equation

An equation that relates the pressure, volume, temperature, and number of moles of an ideal gas. It is a mathematical representation of the ideal gas law, a fundamental concept in chemistry and physics.

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Universal Gas Constant (R)

A constant that relates the pressure, volume, temperature, and number of moles of an ideal gas. Essentially, it is the constant of proportionality in the ideal gas law equation.

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Standard Temperature and Pressure (STP)

The conditions of standard pressure and temperature. Standard pressure is 1 atmosphere (atm), and standard temperature is 273 Kelvin (0 degrees Celsius).

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Vaporization

The process of converting a liquid to a gas.

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Molecular Mass

The mass of one mole of a substance, expressed in grams per mole (g/mol).

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Mole

The amount of substance that contains as many elementary entities as there are atoms in 0.012 kilogram of carbon-12. It's approximately 6.022 x 1023 entities.

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Pressure

A measure of the force exerted per unit area. It's often expressed in units of atmospheres (atm), millimeters of mercury (mmHg), or pascals (Pa).

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Volume

The space occupied by a substance. It's typically measured in units like liters (L) or cubic meters (m3).

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Partial Pressure

The pressure exerted by a single gas in a mixture of gases.

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Total Pressure

The sum of the partial pressures of each component gas in the mixture.

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Molar Volume

The volume occupied by one mole of a gas at standard temperature and pressure (STP), which is 22.4 liters at 0°C and 1 atmosphere.

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Study Notes

States of Matter

  • Matter exists in three physical states: gaseous, liquid, and solid.
  • Water exists in three physical states: ice, liquid water, and steam.

Gaseous State

  • A gaseous state of matter has neither a fixed shape nor a fixed volume.

Gas Laws

  • Boyle's Law: At constant temperature, the volume of a given mass of gas is inversely proportional to its pressure.
  • Charles's Law: At constant pressure, the volume of a given mass of gas is directly proportional to its absolute temperature.
  • Combined Gas Law: Combines Boyle's and Charles's laws, relating pressure, volume, and temperature of a gas.
  • Dalton's Law of Partial Pressures: The total pressure of a mixture of gases is equal to the sum of the partial pressures of the individual gases.
  • Graham's Law of Diffusion: The rate of diffusion of a gas is inversely proportional to the square root of its molar mass.

Ideal Gas Equation

  • The ideal gas equation is PV = nRT, where:
    • P is pressure
    • V is volume
    • n is the number of moles
    • R is the ideal gas constant
    • T is temperature

Ideal Gas

  • An ideal gas is a gas that perfectly obeys the gas laws

Absolute Zero

  • Theoretical temperature at which the volume of a gas becomes zero at constant pressure. -273°C or 0 Kelvin (0 K)

Concepts

  • Real gas: A real gas does not obey the ideal gas laws at all temperatures and pressures, unlike an ideal gas.
  • Conditions for Ideal Behavior: Gases behave ideally at low pressures and high temperatures.

Mole Concept Examples

  • Calculations involving quantities like pressure, volume, moles, and temperature for a variety of gases

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