$5\mathrm{.}13$ A cylinder fitted with a frictionless piston contains $2\mathrm{.}5kg$ of steam at $0\mathrm{.}2$MPa and $225C.$ If the steam is to be compressed reversibly and adiabatically to a final pressure of $1\mathrm{.}2$MPa, calculate the work required to accomplish this compression.

$($Answer: $979kJ)$