Question

A gas has a volume of 300 mL at 300 mm Hg. What will its volume be if the pressure is changed to 500 mm Hg?

Answer 1

`V_2=180mL`

Explanation:

For this question, we will issue that the change happens at constant temperature and that the gas behaves ideally.

Thus, we can use the ideal gas law: `PV=nRT`

Since the change is occurring at constant temperature and number of mole, we can modify the ideal gas law as follows:

`PV=k` where, `k=nRT`.

For position 1: we have `P_1` and `V_1`.

For position 2: we will have `P_2` and `V_2`.

Since `PV=k` we can write `P_1V_1=P_2V_2`.

Therefore, `V_2=(P_1V_1)/(P_2)`

`=>V_2=(300cancel(mmHg)xx300mL)/(500cancel(mmHg))=180mL`