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?

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Answer 1 · 2016-05-30T19:32:12

$V_2=180mL$

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, $V_2=(P_1V_1)/(P_2)$

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