Polytropic process$/11^{st}$ law problem: A piston$-$cylinder device initially contains $0\mathrm{.}1m^3$ nitrogen gas at $3$ bar and $4$ kg mass. The piston cylinder assembly expands until the volume become doubles and the internatenergy change during the process is $-4\mathrm{.}6k\frac{J}{k}g.$ The expansion of nitrogen follows a polytropic process with $n=1\mathrm{.}5.$ Find the amount of heat released during this process.

$1$ bar $=101\mathrm{.}3$kPa