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

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

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

$=0.34L$