A vapour-compression refrigeration cycle in which the refrigerant HFC-134a enters the compressor as superheated vapour at \(0.18 \mathrm{MPa}\) and \(-10^{\circ} \mathrm{C}\) at a rate of \(0.06 \mathrm{~kg} / \mathrm{s}\) and leaves at \(1.0 \mathrm{MPa}\) and \(45^{\circ} \mathrm{C}\). The refrigerant is cooled in the condenser to \(29^{\circ} \mathrm{C}\) and \(0.75 \mathrm{MPa}\) and is throttled to \(0.2 \mathrm{MPa}\).

Determine

(a) The amount of heat removed from the cold space

(b) The power input required

(c) The COP of the refrigeration cycle Given that Enthalpy of superheated vapour at \(-10^{\circ} \mathrm{C}\) and \(0.18 \mathrm{MPa}=245.16 \mathrm{~kJ} / \mathrm{kg}\)

Enthalpy of superheated vapour at \(45^{\circ} \mathrm{C}\) and \(1.0 \mathrm{MPa}=277.22 \mathrm{~kJ} / \mathrm{kg}\)

Enthalpy of saturated liquid at \(29^{\circ} \mathrm{C}\) and \(0.75 \mathrm{MPa}=92.22 \mathrm{~kJ} / \mathrm{kg}\).