The molar heat capacity of water at constant pressure, C, is `75 JK^(-1) mol^(-1)`. When 1.0 kJ of heat is supplied to 100 g water which is free to expand, the increase in temperature of water is :

Options

A. 4.8 K
B. 6.6 K
C. 1.2 K
D. 2.4 K

Answer

D

Explanation

According to heat capacity rule capcaity rule.
`q=mcDeltaT, c=(q)/(m(T_(2)-T_(1))`
Given that , `c=75 JK^(-1) "mol"^(-1)`
`q=10 KJ = 1000 J`
Mass= 100 g water
Molar mass of water =18 g
`75=(1000)/(5.55xxDeltaT)" "` (Number of moles `=(100)/(18)=5.55)`
`therefore DeltaT=(1000)/(5.55xx75)=2.4 K`