If the door of refrigerator is kept open will it cool the room?

If the door of the refrigerator is kept open, the room will not be cooled but the temperature of the room will rather increase because refrigerator takes less heat from the space inside the refrigerator and rejects more cold atmosphere to the room. 
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Can heat energy be converted into work without a temperature difference?

No, without a temperature difference, heat energy cannot be converted into work.

According to the second law of thermodynamics, heat energy cannot be converted into work till some heat is rejected into the surroundings.

In order to reject the heat we require a body at a lower temperature and not at the same temperature. 

Alternatively:

We know, 

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If T1 – T2 = 0, then W = 0

i.e. no heat can be converted into work without a temperature difference. 


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The temperatures of source and sink of a Carnot engine are 300°C and 300K. Find the efficiency of the engine.

Temperature of source, 

             straight T subscript 1 space equals space 300 degree straight C space equals space 573 straight K 

Temperature of sink, 

              straight T subscript 2 space equals space 300 straight K 

The efficiency of Carnot engine is given by, 

straight eta space equals 1 minus straight T subscript 2 over straight T subscript 1
space space space equals 1 minus 300 over 573
space space space equals space 273 over 573

space space space equals 0.476

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Why is it impossible for a ship to use the internal energy of the seawater to run?

A ship cannot use the internal energy of sea water to run because there is no suitable sink of lower temperature so that internal energy can be converted into mechanical work. Hence, it is impossible. 
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Define coefficient of performance of refrigerator.


The coefficient of performance is the ratio of heat absorbed from sink to the work done on the working substance to reject the heat. 

Mathematically, it is given by 

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