A piston$-$cylinder device initially containS $0\mathrm{.}5m^{?}$ nitrogen gas as $400$ kPa and $27C.$ An electric

heater within the device is turned on and is allowed be pass a current of $2$ A for $5$ min from a $120$ V source, Nitrogen expands at constant pressure, and a heat loss of $2800$ J occurs during the process

Determine the final temperature of nitrogen. Nitrogen gas is $28$ grams per mole. The

constant pressure specific heat of nitrogen gas is $1\mathrm{.}039$