1. Tardigrade
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  3. Chemistry
  4. The molar heat capacity of water at constant pressure, C, is 75 JK -1 mol -1. 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 :

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Q. The molar heat capacity of water at constant pressure, $C$, is $75\, JK ^{-1}\, mol ^{-1}$. 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 :

AIPMTAIPMT 2003Thermodynamics

Solution:

$Q = 1\, kJ = 1000\, J$
$m = 100 \, g = \frac{100 \, g}{18 \, g\, mol^{-1}} = 5.55 \, mol$
$Q = mC . \Delta t$
$\Delta t = \frac{Q}{m.C.} = \frac{1000 \, J}{5.55 \, mol \times 75 \,JK^{-1} mol^{-1}} = 2.4\, K$