A gas at 155 kPa and 25°C occupies a container with an initial volume of 1.00 L. By changing the volume, the pressure of the gas increases to 605 kPa as the temperature is raised to 125°C. What is the new volume if the number of moles is constant?

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Answer 1 · 2018-02-20T15:58:16

The new volume is #=0.34L#

#PV=nRT#

#(PV)/T=nR = "constant"#, The number of moles is constant.

#(P_1V_1)/T_1=(P_2V_2)/T_2#

The initial pressure is #P_1=155kPa#

The initial temperature is #T_1=25^@C+273=298K#

The initial volume is #V_1=1L#

The final pressure is #P_2=605kPa#

The final temperature is #T_2=125^@C+273=398K#

The final volume is

#V_2=P_1/P_2*T_2/T_1*V_1#

#=155/605*398/298*1#

#=0.34L#