$52.||$ An ideal$-$gas process is described by p $=$ cV$1/2,$ where c is a constant. a$.$ Find an expression for the work done on the gas in this process as the volume changes from V$1$ to V$2.$ b$.0\mathrm{.}033$ mol of gas at an initial temperature of $150$C is com pressed, using this process, from $300$ cm$3$ to $200$ cm$3.$ How much work is done on the gas? c$.$ What is the final temperature of the gas in $$C