Thermodynamics

Q$-2(25$ pts$.)$ Argon is compressed in a polytropic process with $n=1\mathrm{.}2$ from $120$kPa and $10C$ to $800$kPa in a piston$-$cylinder device. Assuming the kinetic and potential energies to be constant, determine

a$)(15$p$)$ boundary work transferred during this compression process, in $k\frac{J}{k}g.$

b$)(5p)$ temperature at the final state

c$)(5p)$ heat transferred during this compression process, in $k\frac{J}{k}g.$

The properties of argon are $R=0\mathrm{.}2081k\frac{J}{k}g*K$ and $c_v=0\mathrm{.}3122k\frac{J}{k}g*K$