Calculate the amount q of heat transferred to the surroundings when a sample of

Question

Calculate the amount q of heat transferred to the surroundings when a sample of 1 kg of water cools from 60 Celsius to 23 Celsius. Assume that water has a constant molar heat capacity of Cp,m= 75.3JK-1mol-1 in the 20 Celsius to 100 Celsius range . Calculate the amount q of heat transferred to the surroundings when a sample of 1 kg of water cools from 60 Celsius to 23 Celsius. Assume that water has a constant molar heat capacity of Cp,m= 75.3JK-1mol-1 in the 20 Celsius to 100 Celsius range . Calculate the amount q of heat transferred to the surroundings when a sample of 1 kg of water cools from 60 Celsius to 23 Celsius. Assume that water has a constant molar heat capacity of Cp,m= 75.3JK-1mol-1 in the 20 Celsius to 100 Celsius range .

Explanation / Answer

heat transferred q = mCpdT

with,

m = 1 kg = 1000 g

Cp = 75.3 J/K.mol

dT = 23 - 60 = -37 oC

Heat transferred to surrounding = 1000 g x (75.3/18.015) x (-37) = -154.65 kJ

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