Q. 95.0( 1 Vote )

On a winter day the temperature of the tap water is 20°C whereas the room temperature is 5°C. Water is stored in a tank of capacity 0.5 m3 for household use. If it were possible to use the heat liberated by the water to lift a 10 kg mass vertically, how high can it be lifted as the water comes to the room temperature? Take g = 10 m s–2.

Answer :

Given:

Temperature of tap water=20C

Room temp=5C

Volume of tank=0.5m3

Mass to lift=10kg

Formula used:

ΔQ=MCΔT

ΔQ=heat exchange

ΔT=tempeature change

M=mass

C=heat capacity

Heat liberated by water =work done to lift

0.5× 1000× 4200× (20-5)=10× 10× height

Height=315000m=315km

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