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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

6.6K

c

2.4K

d

4.8K

answer is B.

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Detailed Solution

$C_{m} =$ $75 {JK}^{- 1} {mol}^{- 1} .$

$q = 1 KJ = 1000 J$

$m = 100 g$

$q = {nC}_{m} ∆ T$

$1000 J = \frac{100}{18} \times 75 \times ∆ T$

$∆ T = \frac{10 \times 18}{75}$

$∆ T = 2.4 K$

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