The refrigerator's coefficient of performance is 3.81.
The refrigerator's power input is 504 W.
Refrigerators coefficient of performance
The refrigerators coefficient of performance is calculated as follows;
[tex]COP = \frac{T_{cold}}{T_{hot} - T_{cold}}[/tex]
- The cold temperature = -71⁰C = 202 K
- The hot temperature = -18⁰C = 255 K
[tex]COP = \frac{202}{255 - 202} \\\\COP = 3.81[/tex]
Work done in the refrigerator
[tex]W = P \Delta V = P (V_2 - V_1)\\\\W = 150 \times 10^3 (100 \times 10^{-6} \ - \ 40 \times 10^{-6})\\\\W = 9 \ J[/tex]
Refrigerators power input
[tex]P = \frac{E}{t} \\\\P = 9 \ J \ \ \times \ \ 56 \ \frac{cycle}{s} \\\\P = 504 \ J/s \ = \ 504 \ W[/tex]
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