Krypton in a closed system is compressed adiabatically from $74K$ and $1$ bar to a final pressure of $23$ bar. Compute the required work.

Assume krypton is an ideal gas. From Appendix B in the text, we can assume the heat capacity of krypton is independent of temperature and $C_P=2\mathrm{.}5R,$ where $R$ is the molar gas constant $R=8\mathrm{.}314\frac{J}{\text{m}\text{o}\text{l}\text{K}}.$ For an ideal gas, recall $C_V=C_P-R=1\mathrm{.}5R.$

Report your answer in units of $k\frac{J}{m}ol$ using three decimal places.