Air enters a compressor operating at steady state at $1$atm with a specific enthalpy of $290k\frac{J}{k}g$ and exits at a higher pressure with a specific enthalpy of $1023k\frac{J}{k}g.$ The mass flow rate is $0\mathrm{.}1k\frac{g}{s}.$ Kinetic and potential energy effects are negligible and the air can be modeled as an ideal gas. If the compressor power input is $77kW,$ the rate of heat transfer between the air and its surroundings is

$($a$)150\mathrm{.}3kW$ from the surroundings to the air

$($b$)150\mathrm{.}3kW$ from the air to the surroundings

$($c$)3\mathrm{.}7kW$ from the surroundings to the air

$($d$)3\mathrm{.}7kW$ from the air to the surroundings