A heat pump is used to warm a building in the winter. This system implements an ideal vapor-compression cycle with R-134a as the working fluid. The cycle operates between 140 kPa and 800 kPa, with a mass flow rate of 0.03 kg/s. Determine:

(a) the heating load that can be met kW

(b) the power input required for this system kW

(c) the coefficient of performance

(d) the warmest outside temperature at which this particular cycle is unable to operate $^\circ$C