During an adiabatic compression , 830 J of work is done on 2 moles of a diatomic ideal gas to reduce its volume by $\;50\%\;$.The change in its temperature is nearly : $\;(R=8.3JK^{-1}mol^{-1})\;$

Question

$(a)\;40\;K\qquad(b)\;30\;K\qquad(c)\;20\;K\qquad(d)\;14\;K$