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#