Note: For these problems, you will need to use the appropriate gas laws and the ideal gas equation:

$$ \frac{V_1}{T_1}= \frac{V_2}{T_2} $$

$$ PV=nRT $$

Remember to convert temperatures to Kelvin for these calculations.

https://effectuall.github.io/Simulations/Thermodynamics_Ideal_Gas_Equation

Kinetic Theory of Gases Problems

Charles' Law

  1. A sample of gas occupies 250 mL at 25°C. What will be its volume at 50°C if the pressure remains constant?
  2. A balloon is filled with helium at a temperature of 27°C. If the balloon is heated to 57°C, by what percentage will its volume increase?

Boyle's Law

  1. A gas sample occupies 100 mL at a pressure of 1 atm. What will be its volume at a pressure of 2 atm if the temperature remains constant?
  2. A syringe contains 50 mL of air at a pressure of 1 atm. If the plunger is pushed in to reduce the volume to 25 mL, what will be the new pressure?

Ideal Gas Equation

  1. A sample of gas occupies 200 mL at a temperature of 27°C and a pressure of 1 atm. How many moles of gas are present?
  2. A container holds 0.5 moles of gas at a pressure of 2 atm and a temperature of 300 K. What is the volume of the container?
  3. A sample of gas occupies 100 mL at a pressure of 1 atm and a temperature of 27°C. If the pressure is increased to 2 atm and the temperature is increased to 57°C, what will be the new volume of the gas?