Answer to Question #316758 in Molecular Physics | Thermodynamics for Fritz malazarte

Question

The temperature of an ideal gas remains constant while the absolute pressure changes from 100 kpa to 800 kpa. If initial volume is 100 liters, what is the final volume in liters?

Answer 1

The Boyle–Mariotte law says

$$p_2V_2=p_1V_1$$

Hence, the final volume

$$V_2=p_1V_1/p_2\\ =\rm 100\:kPa\times 100\: L/800\: kPa=12.5\: L$$