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

Solution :
$${q_p} = n{C_p}\Delta T;{q_p} = 10\,kJ\,\,{\text{or}}\,\,10000\,J$$
$${C_p} = 75\,J\,{K^{ - 1}}\,mo{l^{ - 1}}.$$     $${\text{No}}{\text{. of moles}},\,n = \frac{{1000}}{{18}} = 55.5\,mol$$
$$\Delta T = \frac{{10000}}{{55.5 \times 75}} = 2.4\,K$$