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Standard XII

Chemistry

Molar and Specific Heat Capacity

The molar hea...

Question

The molar heat capacity ( $C_{p}$ ) of water at constant pressure is 75 $J K^{- 1} m o l e^{- 1}$ . The increase in temperature (in K) of 100 g of water when 2kJ of heat is supplied to it is:

2.4 K

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3.6 K

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4.8 K

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5.2 K

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Solution

The correct option is C 4.8 K
Given: molar heat capacity ( $C_{p}$ ) : 75 $J K^{- 1} m o l e^{- 1}$ = $\frac{75}{18}$ $J K^{- 1} g^{- 1}$
mass of water = 100 g
We know, $q = m C_{p} Δ T$
where m = mass of the water
q = 2000 J
So, 2000 J = $100 \times \frac{75}{18} Δ T$
On calculating, $Δ$ T = increase in temperature = 4.8 K

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Molar and Specific Heat Capacity

Standard XII Chemistry

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The molar heat capacity ( Cp) of water at constant pressure is 75 JK−1mole−1. The increase in temperature (in K) of 100 g of water when 2kJ of heat is supplied to it is:

The correct option is C 4.8 KGiven: molar heat capacity ( Cp) : 75 JK−1mole−1 = 7518 JK−1g−1 mass of water = 100 g We know, q=mCpΔT where m = mass of the water q = 2000 J So, 2000 J = 100×7518ΔT On calculating, ΔT = increase in temperature = 4.8 K

The molar heat capacity ( $C_{p}$ ) of water at constant pressure is 75 $J K^{- 1} m o l e^{- 1}$ . The increase in temperature (in K) of 100 g of water when 2kJ of heat is supplied to it is: