Equal masses of ice and water with temperature equally below and above the melting point of ice respectively are mixed with each other. At equilibrium `40%` of the ice melted. The initial temperature of water was

Options

A. `16^(@)C`
B. `32^(@)C`
C. `64^(@)C`
D. `96^(@)C`

Answer

C

Explanation

`(mg) (1/2 (cal)/(g-^(@)C)) (T^(@)C) +(mg)(80(cal)/(g))xx(40)/(100)`
`=(mg)(1("cal")/(g-^(@)C))(T^(@)C)`
or `(T//2) + 32 =T`
or `T = 64^(@)C`.