Background

$0\mathrm{.}50$ moles of a perfect gas is in a container at $298K.$

Questions and problems

The perfect gas is compressed reversibly from $10L$ to $2\mathrm{.}0L$ at constant tem$-$

perature $298K.$

a$)$ Determine the change in internal energy, heat and work for this process.

The $0\mathrm{.}50$ moles of perfect gas is heated from $298K$ to $400K.$

b$)$ Determine the change in entropy if the heating is performed at constant

pressure. Determine the change in entropy if the heating is performed at

constant volume.

The $0\mathrm{.}50$ moles of perfect gas is compressed to a volume of $0\mathrm{.}34L$ at $298K.$

c$)$ Use the van der Waal equation of state to estimate the pressure at these

conditions.

d$)$ Determine the compression factor and explain if the gas can be consid$-$

ered to be perfect at these conditions.

Data

The molar heat capacities for the perfect gas are constant in this assignment

$C_{p,m}=34\mathrm{.}92J{K}^{-1}mo{l}^{-1}$

Van der Waal parameters:

$a=381kPa{L}^{2}mo{l}^{-2}$

$b=0\mathrm{.}00417Lmo{l}^{-1}$