Find the heat required to make water of `30^(@)C` from 10 g of ice at `0.0^(@)C`. (Enthalpy of fusion of ice `=333.55" J g"^(-1), C_(p)` of water `=4.18" J g"^(-1)K^(-1)`)

Options

A. 4.0 kJ
B. 5.0 kJ
C. 3.49 kJ
D. 4.59 kJ

Answer

D

Explanation

Given,
Initial temperature `=0^(@) C`
Final temperature `=30^(@)C`
Thus, `Delta T=30^(@)C`
Mass of ice `(m)=10` g
Enthalpy of fusion `(L)=333.5 Jg^(-1)`
`C_(p)` of water `=4.18 Jg^(-1) K^(-1)`
`:'` Heat required `(Q)=mL+mC_(p)Delta T`
`=10 xx333.5+10xx4.18xx30`
`=3335.0+1254.00`
`=4589 J`
`=4.59 kJ`
Hence, option (d) is the correct answer.