The molar heat capacity of water at constant pressure, `C_(p)` is `"75 J K"^(-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

Options

A. 2.4 K
B. 4.8 K
C. 3.2 K
D. 10 K

Answer

A

Explanation

`q_(m)=mcDeltaT`
`q_(m)="10 kJ or 10000 J, m = 1000 g"`
`c="75 J K"^(-1)"mol"^(-1)."No. of moles "=(1000)/(18)="55.5 mol"`
`DeltaT=(10000)/(55.5xx75)=2.4K`