An ideal$-$gas process is described by p$=$cV$1/2$p$=$cV$1/2,$ where cc is a constant.

Find the expression for the work done on the gas in this process as the volume changes from V$1$V$1$ to V$2$V$2.$

$0\mathrm{.}043$ molmol of gas at initial temperature of $150$C$$C is compressed, using this process, from $400$ cm$3$cm$3$ to $200$ cm$3$cm$3.$ How much work is done on the gas?

What is the final temperature of the gas in $$C$$C$?$