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Q.

The molar heat capacity of water at constant pressure, C, is 75 JK–1 mol–1. When 1.0KJ of heat is supplied to 100g of water which is free to expand, the increase in temperature of water is

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a

1.2K

b

2.4K

c

4.8K

d

6.6K

answer is B.

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Detailed Solution

q = m Cp ΔT

q = 1KJ =1000J ;

 C_p = 75 JK^{-1} mol^{-1} =frac{75}{18} JK^{-1} gm^{-1}( since Molecular weight of water = 18gm)
large 1000 = ;100 times ;frac{{75}}{{18}};Delta T
ΔT = 2.4 K

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