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Molar heat capacity of water at constant pressure is $75 {JK}^{- 1} {mole}^{- 1}$ . When 2 kJ of heat is provided to 200g of water which is free to expand, the increase in temperature is

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1.2 K

6.6 K

4.8 K

2.4 K

answer is A.

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Detailed Solution

$C_{p} = 75 {JK}^{- 1} {mole}^{- 1}$

$18 g' H_{2} O' . ... 75 J$

$200 g' H_{2} O' . ...' C' J$

$C = \frac{200 \times 75}{18} Joules$

Given q = 2 kJ

q = 2000J

$C_{p} = \frac{q_{p}}{ΔT}$

$ΔT = \frac{q_{p}}{C_{p}} = \frac{2000}{200 \times 75} \times 18 = 2 .4 K$

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