One mole of an ideal diatomic gas expands from volume V to 2 V isothermally at a temperature 27 °C and does W joule of work. If the gas undergoes…

One mole of an ideal diatomic gas expands from volume $\displaystyle V$ to $\displaystyle 2 V$ isothermally at a temperature $\displaystyle 27$ °C and does $\displaystyle W$ joule of work. If the gas undergoes same magnitude of expansion adiabatically from $\displaystyle 27$ °C doing the same amount of work $\displaystyle W$, then its final temperature will be (close to) $\displaystyle \_\_\_\_$ °C. ( $\displaystyle \log _{\mathrm{e}} 2=0.693$ )