Gas Laws · Paper 1 — Free Physics SL Practice Questions

A weather balloon is filled with helium at ground level where the pressure is $1.00 \times 10^{5}$ Pa and the temperature is $300$ K. The balloon has a volume of $5.00 \text{ m}^3$. The balloon rises to an altitude where the pressure is $0.500 \times 10^{5}$ Pa and the temperature is $250$ K. Assuming the helium behaves an ideal gas, what is the volume of the balloon at this altitude?

A sealed syringe contains $30.0 \text{ cm}^3$ of air at a pressure of $1.00 \times 10^5 \text{ Pa}$. The plunger is pushed in until the volume is $20.0 \text{ cm}^3$. The temperature of the air remains constant throughout. What is the new pressure of the air?

A capillary tube sealed at one end traps an air column of length $10.0 \text{ cm}$ at a temperature of $20 \text{ °C}$. The tube is placed in a water bath at $80 \text{ °C}$. The pressure of the trapped air remains constant. What is the new length of the air column?