Question #c3048

1 Answer
Mar 22, 2017

Answer:

The volume will quadruple (i.e. become 4 times the original volume).

Explanation:

The combined gas law states that #(P_1V_1)/T_1 = (P_2V_2)/T_2#.

Let's say #P_1 = P#, #V_1 = V#, and #T_1 = T#.

That means that #P_2 = 1/2P#, and #T_2 = 2T#.

Now, let's plug in all of these variables and solve for #V_2#.

#(PV)/T = ((1/2P)V_2)/(2T)#

#(PV)/T = (PV_2)/(4T)#

#(color(red)cancelPV)/color(blue)cancelT = (color(red)cancelPV_2)/(4color(blue)cancelT)#

#V = V_2/4#

#4V = V_2#

Therefore, the volume will quadruple.