AIPMT PRELIMS2003Chemistry-Thermodynamics

AIPMT PRELIMS 2003 Chemistry Heat Capacity MCQ Question

Type: MCQ-numerical-Medium-Class 11

The molar heat capacity of water at constant pressure, CpC_p, is 75 JK1mol1\text{JK}^{-1} \text{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:

A

1.2 K

B

2.4 K

C

4.8 K

D

6.6 K

Correct Answer

Option B

Detailed Explanation

The increase in temperature is calculated using ΔT=qmCp\Delta T = \frac{q}{mC_p}, where q=1000 Jq = 1000 \text{ J}, m=100 g=0.1 molm = 100 \text{ g} = 0.1 \text{ mol}, and Cp=75 JK1mol1C_p = 75 \text{ JK}^{-1} \text{mol}^{-1}.

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