An air$-$standard Carnot cycle is executed in a closed system between the temperature limits of $350$ and $1200$ K$.$ The pressures before and after the isothermal compression are $150$ and $300$ kPa, respectively. The net work output per cycle is $0\mathrm{.}300$ kJ$.$ Assume variable specific heats for air.

Determine the heat transfer to air. $($Round the final answer to four decimal places.$)$