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Thermodynamics
Heat Capacity
1 question from 1 paper, each with its answer.
- question
- 1
- paper
- 1
- of Thermodynamics
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Concepts tested
- Temperature rise from molar heat capacity
All Questions
2003 AIPMT 1 question
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The molar heat capacity of water at constant pressure, C, is 75 J K$^{-1}$ 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 :Water is free to expand, so the heating is at constant pressure: $q = nC_p\Delta T$.
Number of moles of water: $n = \dfrac{100}{18} = 5.55$ mol
$q = 1.0$ kJ $= 1000$ J
$\Delta T = \dfrac{q}{nC_p} = \dfrac{1000}{5.55 \times 75} = \dfrac{1000}{416.7}$
$\Delta T = 2.4$ K