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Answer 1 · 2017-04-05T23:00:12

Using Boyle's Law (from the combined Ideal Gas Law), we find that the new volume is 1.409 liters. (See explanation)

We can solve this by using a variation of the Ideal Gas Law (PV = nRT). This variation is the combined Ideal Gas Law:

#(P_1V_1)/T_1=(P_2V_2)/T_2#, which allows us to compare the changes made to pressure, volume, and temperature.

Since temperature is constant, #T_1=T_2#, so our new comparison would be: (Boyle's Law)

#P_1V_1=P_2V_2#

We need to find the new volume, #V_2#, so we rearrange the equation:
#V_2=(P_1V_1)/P_2#

These are the values we have:
#V_1=3# L
#P_1=101# kPa
#P_2=215# kPa

Plug in and solve:
#V_2=# #((101 kPa)(3 L))/(215 kPa)=1.409 L#