Question

A sample of gas occupies 10 L at 300 K and 2 atm. What will be its volume at 400 K and 1 atm?

• A. 15 L
• B. 20 L
• C. 25 L
• D. 30 L

Hint:

Always use the combined gas law for calculations involving changes in pressure, volume, and temperature.

Answer 1

The Correct Option is B

Using the combined gas law: \[ \frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} \] Substitute the known values: \[ \frac{(2 \, \text{atm})(10 \, \text{L})}{300 \, \text{K}} = \frac{(1 \, \text{atm})(V_2)}{400 \, \text{K}} \] Solving for \( V_2 \): \[ V_2 = \frac{2 \times 10 \times 400}{300 \times 1} = 20 \, \text{L} \]