For a bathing person supplies 5×10^3Kj energy in 20 litre of water at 15°c temperature.What is the change in temperature of this water?

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To raise 1 gram of water 1 degree Centigrade, it takes approximately 4.184 Joules of energy.

In your 20 Litres, you have about 20,000 grams of water.

The energy you have available for use in your problem is 5000 kJ or 5,000,000 joules.

(5,000,000 joules) / [(20,000 grams)*(4.184 joules per gram per degree)] = 59.8 degree increase in water temperature.

Which means that the bath water would be almost 75 degrees C - way too hot!