Question

a sample of 12.8 liters of an ideal gas at 24.0 C and 745 torr is compressed and heated so that the volume is 7.2 liters and the temperature 72.0 C. What is the pressure in the container in torr?

Answer 1

From the ideal gas law $PV\alpha T$

$\frac{P_1V_1}{T_1}= \frac{P_2V_2}{T_2}$

Initial pressure,

Initial volume of an ideal gas,

Initial temperature,

After compression and heating

Final volume,

Final temperature,

Final pressure in the container, $P_2 = \frac{(P_1V_1)(T_2)}{(T_1)(V_2)}$

$\Rightarrow P_2= \frac{745 \times 12.8 \times 345}{297 \times 7.2} = 1538.5 torr$