Simple Gas Laws Quiz

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Questions and Answers

Which of the following statements accurately describes Gay-Lussac's Law?

  • At constant volume, the pressure of a gas is inversely proportional to its absolute temperature.
  • At constant pressure, the volume of a gas is directly proportional to its absolute temperature.
  • At constant temperature, the pressure of a gas is directly proportional to its volume.
  • At constant volume, the pressure of a gas is directly proportional to its absolute temperature. (correct)

A container of gas at a temperature of $20^\circ C$ has a pressure of $200 kPa$. If the temperature inside the container is increased to $40^\circ C$, what will be the new pressure according to Gay-Lussac's Law (assuming constant volume)?

  • Approximately $100 kPa$
  • Approximately $400 kPa$
  • Approximately $235 kPa$
  • Approximately $214 kPa$ (correct)

According to Avogadro's Law, what is the relationship between the volume of a gas and the number of moles, assuming constant temperature and pressure?

  • The volume is inversely proportional to the number of moles.
  • The volume is directly proportional to the number of moles. (correct)
  • The volume is exponentially proportional to the number of moles.
  • The volume is independent of the number of moles.

A balloon contains $2$ moles of gas and has a volume of $10 L$. If $6$ more moles of gas are added to the balloon at constant temperature and pressure, what will the new volume of the balloon be?

<p>$40 L$ (D)</p> Signup and view all the answers

What is the molar volume of an ideal gas at Standard Temperature and Pressure (STP)?

<p>$22.4 L/mol$ (D)</p> Signup and view all the answers

According to the simple gas laws, which of the following is NOT a variable used to describe a gas?

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

What is the correct conversion of 25 degrees Celsius to Kelvin for use in gas law calculations?

<p>298.15 K (C)</p> Signup and view all the answers

If the pressure on a gas is doubled while the temperature is held constant, what happens to its volume, according to Boyle's Law?

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

A container of gas at 300 K has its temperature increased to 600 K, while pressure is held constant. According to Charles' Law, what happens to its volume?

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

According to Boyle's law, if a gas occupies 10 L at a pressure of 100 kPa, what will new volume be if the pressure is increased to 200 kPa, at the same temperature?

<p>5 L (B)</p> Signup and view all the answers

Which of the following correctly describes the relationship between volume and temperature according to Charles' Law?

<p>Volume and temperature are directly proportional at constant pressure. (A)</p> Signup and view all the answers

A gas is heated from 27 degrees Celsius to 127 degrees Celsius. The pressure is held constant. According to Charles' Law, what is the approximate percentage increase in volume?

<p>Approximately 33% (A)</p> Signup and view all the answers

A 5.0 L sample of gas is at SATP. If the volume is changed to 10.0 L at constant pressure, what has happened to the absolute temperature?

<p>The absolute temperature doubled. (D)</p> Signup and view all the answers

Flashcards

Boyle's Law

States that at constant temperature, the volume of a gas is inversely proportional to its pressure. This means increasing pressure decreases volume and vice versa.

Charles' Law

States that at constant pressure, the volume of a gas is directly proportional to its absolute temperature (Kelvin). This means increasing temperature increases volume and vice versa.

Avogadro's Law

Relates the volume of a gas to the number of moles of gas present. At constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of gas.

Gay-Lussac's Law

Describes the relationship between the pressure and temperature of a gas at constant volume. The pressure of a gas is directly proportional to its absolute temperature.

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STP (Standard Temperature and Pressure)

A set of conditions for measuring gases, defined as 0°C (273.15 K) and 1 atm (101.3 kPa) pressure.

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SATP (Standard Ambient Temperature and Pressure)

A set of conditions for measuring gases, defined as 25°C (298.15 K) and 1 atm (101.3 kPa) pressure.

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Kelvin Temperature

The absolute temperature scale in Kelvin. It's used for gas laws as it directly correlates to gas volume.

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Variables that describe gas behavior

The variables that describe a gas: volume (V), pressure (P), temperature (T), and number of moles (n)

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What is Gay-Lussac's Law?

At constant volume, the pressure of a gas is directly proportional to its absolute temperature (in Kelvin). This means that if you increase the temperature, the pressure will increase proportionally.

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What is Avogadro's Law?

Avogadro's Law states that at the same temperature and pressure, equal volumes of gases contain the same number of moles. In simpler terms, the volume of a gas is directly proportional to the number of moles of gas present.

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What is Molar Volume?

Molar volume is the volume occupied by one mole of a gas at a specific temperature and pressure. At standard temperature and pressure (STP), the molar volume of any gas is 22.4 L/mol. At standard ambient temperature and pressure (SATP), it's 24.5 L/mol.

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What is the relationship between Molar Volume and Avogadro's Law?

The molar volume of a gas is directly related to Avogadro's law. Avogadro's law states that equal volumes of gases at the same temperature and pressure contain the same number of molecules. This means that one mole of any gas will occupy the same volume under the same conditions.

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How does the volume of a gas relate to the number of moles?

The volume of a gas is directly proportional to the number of moles of gas present. This means that if you double the number of moles, you double the volume of the gas.

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Study Notes

Simple Gas Laws

  • Scientists use the Kinetic Molecular Theory (KMT) of gases to describe how gases behave mathematically.
  • Four variables describe gases: volume, absolute temperature (in Kelvin), pressure, and number of moles.
  • Simple gas laws show the relationship between two variables while keeping the other two constant.

STP and SATP

  • STP (Standard Temperature and Pressure): 0°C and 101.3 kPa
  • SATP (Standard Ambient Temperature and Pressure): 25°C and 101.3 kPa
  • Temperature in calculations must be in Kelvin (K).
  • Convert °C to K by adding 273.15

Boyle's Law

  • Relates pressure and volume at constant temperature.
  • Volume and pressure are inversely proportional.
  • If volume increases, pressure decreases.
  • If volume decreases, pressure increases.
  • Boyle's Law formula: P₁V₁ = P₂V₂

Charles' Law

  • Relates volume and temperature at constant pressure.
  • Volume and temperature are directly proportional.
  • If temperature increases, volume increases.
  • If temperature decreases, volume decreases.
  • Charles' Law formula: V₁/T₁ = V₂/T₂ (where T is in Kelvin)

Gay-Lussac's Law

  • Relates pressure and temperature at constant volume.
  • Pressure and temperature are directly proportional.
  • If temperature increases, pressure increases.
  • If temperature decreases, pressure decreases.
  • Gay-Lussac's Law formula: P₁/T₁ = P₂/T₂ (where T is in Kelvin)

Avogadro's Law

  • Relates volume and moles of a gas at constant temperature and pressure.
  • Volume and number of moles are directly proportional.
  • Equal volumes of gas at the same temperature and pressure contain the same number of moles.
  • Avogadro's Law formula: V₁/n₁ = V₂/n₂

Molar Volume of a Gas

  • Molar volume (Vm) is the volume occupied by one mole of a gas at a specific temperature and pressure.
  • At STP, the molar volume of any gas is 22.4 L/mol.
  • At SATP, the molar volume of any gas is 24.5 L/mol.

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