Question

A sample of hydrogen gas is kept in a container fitted with a movable piston set at the 8.0-liter mark at 50 degrees Celsius and

110 kPa. At what temperature in Kelvin will the piston to move to the 9.0-liter mark without a change is the pressure reading?

Answer 1

$V_1 = 8.0 \; L \\ T_1 = 50 + 273 = 323 \; K \\ p = 110 \;kPa = constant \\ V_2 = 9.0 \; L \\ \frac{p_1V_1}{T_1} = \frac{p_2V_2}{T_2} \\ \frac{V_1}{T_1} = \frac{V_2}{T_2} \\ T_2 = \frac{V_2T_1}{V_1} \\ T_2 = \frac{9.0 \times 323}{8.0} = 363.3 \;K$

Answer: 363.3 K