Answer:
[tex]\dot W = 109.375\,kW[/tex]
Explanation:
The theoretical Coefficient of Performance of a refrigerator is:
[tex]COP_{R, ideal} = \frac{T_{L}}{T_{H}-T_{L}}[/tex]
[tex]COP_{R,ideal} = \frac{235.15\,K}{298.15\,K-235.15\,K}[/tex]
[tex]COP_{R,ideal} = 3.733[/tex]
The real Coefficient of Performance is:
[tex]COP_{R} = 0.3\cdot COP_{R,ideal}[/tex]
[tex]COP_{R} = 1.120[/tex]
The power required to freeze the vegetables is:
[tex]\dot W = \frac{\dot Q_{L}}{COP_{R}}[/tex]
[tex]\dot W = \frac{\left(35\,tonr \right)\cdot \left(\frac{210\,\frac{kJ}{min} }{1\,tonr} \right)\cdot \left(\frac{1\,min}{60\,s} \right)}{1.120}[/tex]
[tex]\dot W = 109.375\,kW[/tex]
