First slide

Thermodynamic properties

Question

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

Moderate

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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