Question

A container of fixed volume contains a gas at 27°C. To double the pressure of the gas, the temperature of the gas should be raised to …. C.

Hint:

Remember that temperature in gas laws should be in Kelvin. To convert from Celsius, add 273 to the Celsius temperature.

Answer 1

For a gas in a fixed volume, the pressure is directly proportional to the temperature (in Kelvin) according to Gay-Lussac’s Law: \[ \frac{P_1}{T_1} = \frac{P_2}{T_2} \] Let the initial temperature be \( 27^\circ C = 300 K \). To double the pressure, the final temperature \( T_2 \) should be \( 600 K \), which is equivalent to \( 327^\circ C \). Thus, the correct answer is \( 327^\circ C \).