Problem $6$: A cylinder fitted with a piston contains liquid methanol at $293K,100$kPa and volume $10L.$

The piston is moved to compress the methanol reversibly to $20$MPa at a constant temperature. Given

that ${}_{293K}-=-\frac{1}{V}(\frac{\text{d}\text{e}\text{l}\text{V}}{\text{d}\text{e}\text{l}\text{P}}{)}_T=1\mathrm{.}22{10}^{-9}P{a}^{-1},$ calculate the work required for this process.