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Question

The molar heat capacity of water at constant pressure P, is 75 JK1 mol1. When 1.0 kJ of heat is supplied to 100 g of water which is free to expand, the increase in temperature of water is:

A
1.2 K
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B
2.4 K
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C
4.8 K
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D
6.6 K
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Solution

The correct option is B 2.4 K
The relationship between the heat supplied, molar heat capacity at constant volume and the temperature change is q=mCpΔT
q=1kJ=1000J
Number of moles =m=massmolecularweight=10018
Substitute values in the above expression.
1000=10018×75×ΔT
Hence, the temperature change is 2.4 K.

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