50 gram of ice at `0^(@)`C is mixed with 50 gram of water at `60^(@)C` , final temperature of mixture will be :-

Options

A. `0^(@)C`
B. `40^(@)C`
C. `10^(@)C`
D. `15^(@)C`

Answer

A

Explanation

If temperature of eater decreases from `60^(@)C` to `0^(@)C` the heat released `=(50 gm) xx ((I " cal")/(gm-""^(@)C))xx(60)=3000 ` cal
The amount of ice it melts be equal to 'm'
`(m)(80) = 3000 rArr m=(3000)/(80) = 37.5`
`rArr m=37.5 gm`