$1$ Mole of $\mathrm{C}{\mathrm{O}}_2$ gas at $\mathrm{300 }\mathrm{K}$ expanded under the reversible adiabatic condition such that its volume becomes $27$ times. The magnitude of work done $\left(\mathrm{i}\mathrm{n}\hspace{0.17em}\mathrm{k}\mathrm{J}/\mathrm{m}\mathrm{o}\mathrm{l}\right)$ is:
(Given $\text{γ}=1.33$ and $\mathrm{ }{\mathrm{C}}_{\mathrm{v}}=25.10\hspace{0.17em}\mathrm{J}\mathrm{m}\mathrm{o}{\mathrm{l}}^{–1}{\mathrm{K}}^{–1}\hspace{0.17em}\mathrm{f}\mathrm{o}\mathrm{r}\hspace{0.17em}\mathrm{C}{\mathrm{O}}_2$ )
report your answer by rounding it up to nearest whole number