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Question: The molar heat capacity of water at constant pressure, \(C_{P}\) is \(75JK^{- 1}mol^{- 1}\) when 10 ...

The molar heat capacity of water at constant pressure, CPC_{P} is 75JK1mol175JK^{- 1}mol^{- 1} when 10 kJ of heat is supplied to 1 kg water which is free to expand, the increase in temperature of water is

A

2.4K2.4K

B

4.8K4.8K

C

3.2K3.2K

D

10 K

Answer

2.4K2.4K

Explanation

Solution

: qm=mcΔTq_{m} = mc\Delta T

qm=10kJq_{m} = 10kJ or 10000 J, m = 1000 g

c=75JK1mol1No.ofmolesc = 75JK^{- 1}mol^{- 1}No.ofmoles

=100018=55.5mol= \frac{1000}{18} = 55.5mol

ΔT=1000055.5×75=2.4K\Delta T = \frac{10000}{55.5 \times 75} = 2.4K