Question

3.5 moles of CO2 in a container were expanded against an external pressure of 2.5 atm to a final volume of 37L. The initially pressure and temperature were 8 atm and 30⁰C, respectively. Calculate the final temperature and the work done for the process.

Answer 1

Gives

$P_2=2.5atm \\n=3.5mol\\V_2=37L$

Ideal gas equation

PV=nRT

$T_2=\frac{P_2V_2}{nR}$

$T_2=\frac{2.5\times37}{3.5\times0.0821}=321.90K$

$T_2=321.90-273=48.9\degree C$

Work

$W=nC_vΔT$

$W=3.5\times25.08(321.90-300)$

$W=1922.382J$

W=1.922KJ