In a cold storage, ice melts at the rate of $$2$$ $$kg/h$$ when the external temperature is $$200C$$. Find the minimum power output of the motor used to drive the refrigerator which just prevents the ice from melting. Latent heat of fusion of ice $$=$$ $$80$$ $$cal/g$$.

Question

In a cold storage, ice melts at the rate of $$2$$ $$kg/h$$ when the external temperature is $$200C$$. Find the minimum power output of the motor used to drive the refrigerator which just prevents the ice from melting. Latent heat of fusion of ice $$=$$ $$80$$ $$cal/g$$.

Infinity Learn · Accepted Answer

ω $$=$$ $$T2T1-T2$$ $$=$$ $$273293-273$$ $$=$$ $$27320Mass$$ of ice melting per second $$=$$ $$2$$×$$10003600=$$ (59)gTo$$ prevent the melting of ice, heat to be driven out per second, i.e., $$Q2$$ $$=$$ $$(59)×$$80$$ $$=$$ $$4009cal$$ $$=$$ $$44.44$$ JAs, ω $$=$$ $$Q2W$$, W $$=Q2$$ω $$=$$ $$44.44(27320)$$ $$=$$ $$3.25$$ WPower of the motor $$=$$ $$3.25$$ W

In a cold storage, ice melts at the rate of 2 kg/h when the external temperature is $20^{0} C$ . Find the minimum power output of the motor used to drive the refrigerator which just prevents the ice from melting. Latent heat of fusion of ice = 80 cal/g.

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In a cold storage, ice melts at the rate of 2 kg/h when the external temperature is 200C. Find the minimum power output of the motor used to drive the refrigerator which just prevents the ice from melting. Latent heat of fusion of ice = 80 cal/g.

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Ready to Test Your Skills?

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In a cold storage, ice melts at the rate of 2 kg/h when the external temperature is $20^{0} C$ . Find the minimum power output of the motor used to drive the refrigerator which just prevents the ice from melting. Latent heat of fusion of ice = 80 cal/g.