If the pressure exerted on a confined gas is doubled, what happens to the volume of the gas?

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Answer 1 · 2016-10-27T06:46:57

#"Boyle's Law"# holds that at constant,,,,,,,,,,,,

#"Boyle's Law"# holds that at constant temperature, and constant amount of gas, pressure is inversely proportional to volume:

#Pprop1/V#, or #P_1V_1=P_2V_2#.

And thus #V_2# #=# #(P_1V_1)/P_2#

But the boundary conditions of the problem state that #P_2=2P_1#:

Thus #V_2# #=# #(cancel(P_1)V_1)/(2cancel(P_1))#

So #V_2=V_1/2#

So the volume is HALVED.