on a winter day the temp. of the tap water is 20^oc whereas the room temp. is 5^oc. water is stored in a tank of capacity 0.5m^3 for household use. if it were possible to use the heat librated by the water to lift a 10kg mass vertically, how high can it be lifted as the water comes to the room temp. ? take g=10m/s^2
Ans=315km

Question

on a winter day the temp. of the tap water is 20^oc whereas the room temp. is 5^oc. water is stored in a tank of capacity 0.5m^3 for household use. if it were possible to use the heat librated by the water to lift a 10kg mass vertically, how high can it be lifted as the water comes to the room temp. ? take g=10m/s^2

Ans=315km

nimo jar · Answer

change in temp of tank = = 20 – 5 = 15 [water will attain atmospheric temperature] Heat liberated by water = Q = mc = Vc [c = specific heat capacity] Q = 1 kg/m 3 * 0.5 m 3 * 4200 J/kg/ o C * 15 o C = 31500 J since, Q = mgh thus, 31500 = 10 * 10 * h h = 315 m

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