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  4. The molar heat capacity of water at constant pressure, CP is 75 J K -1 mol -1. When 10 kJ of heat is supplied to 1 kg water which is free to expand, the increase in temperature of water is

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Q. The molar heat capacity of water at constant pressure, $C_{P}$ is $75\, J K ^{-1} mol ^{-1}$. When $10\, kJ$ of heat is supplied to $1\, kg$ water which is free to expand, the increase in temperature of water is

NTA AbhyasNTA Abhyas 2020Thermodynamics

Solution:

$q _{ m }= mc \Delta T$
$q_{m}=10\, kJ$ or $10000\, J , m =1000\, g$
$c=75\, J\, K ^{-1} mol ^{-1} .$
Number of moles $=\frac{1000}{18}=55.5\, mol$
$\Delta T =\frac{10000}{55.5\times 75}=2.4\, K$