Question

A refrigerator operating between -5°C and 27°C has the capacity of 800 tons. Consider the refrigerator to work upon reversed Carnot cycle. Latent heat for ice formation from water may be taken as 335 kJ/kg. Determine the mass rate of ice formation considering water being supplied at atmospheric temperature of 27°C.​

Answer 1

Answer:

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Answer 2

given that, refrigerator capacity will be $800*3.5=2800kJ/s$ this is the heat extraction rate.

suppose that the ice fornation rate be $" m" kg/s$

∴heat to be removed from per kg of  water formation of water into ice

=$4.18*(27-0)+335 kj/kg$

work during expansion $Wt=1*Cp*(T3-T4)$

                                       $Wt=1*1.005*(300-179.5)=121.55 kJ/s$

refrigerator effect is realized during prosses$4-1$, refrigerator effect will be

                                    $Qref=1*Cp*(T1-T4)$

                                      $Qref=1*1.005(240-179.5)= 61.25Kj/s=17.5 TON$

net work will be=$Wc-Wt$ = $230.27-121.55$ = $108.72kj/s$

COP = $Qref/Wc-Wt$

=$Qref/Wc-W$

=$61.25/108.72$

=$0.56$

refrigerator capacity =$17.5$TON