The molar heat capacity of water at constant pressure, `C_(P)` , is `75 JK^(-1) 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

Options

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

Answer

C

Explanation

`Q=1 kJ=1000 J`
`m=100 g=(100g)/(18g mol^(-1))=5.55 mol`
`Q=mC.Delta t`
`Delta t=(Q)/(m.C.)=(1000J)/(5.55molxx75 JK^(-1)mol^(-1))`
`=2.4 K`