First slide

Thermodynamic properties

Question

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

Moderate

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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