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Heat Capacity at Constant Pressure

The molar hea...

Question

The molar heat capacity of water at constant pressure P, 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:

1.2 K

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2.4 K

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4.8 K

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6.6 K

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Solution

The correct option is B 2.4 K
The relationship between the heat supplied, molar heat capacity at constant volume and the temperature change is $q = m \cdot C_{p} Δ T$
$q = 1 k J = 1000 J$
Number of moles $= m = \frac{m a s s}{m o l e c u l a r w e i g h t} = \frac{100}{18}$
Substitute values in the above expression.
$1000 = \frac{100}{18} \times 75 \times Δ T$
Hence, the temperature change is 2.4 K.

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The molar heat capacity of water at constant pressure P, 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:

The molar heat capacity of water at constant pressure P, 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: