Question

$5$kg of ice at $-{10}^o$C is added to $5$kg of water at ${10}^o$C. The temperature of the resulting mixture will.

• A. $-{10}^o$C
• B. $0^o$C
• C. ${3.3}^o$C
• D. ${10}^o$C

Answer 1

The correct option is B $0^o$C

Required heat to decrease temperature of ice $0^{o}C$ and then melt to water $=5000\times 0.5\times (+10)+5000\times 80=(25000cal+400000cal)=425000cal=425kcal$

Heat released by water to reach $0^{o}C$ $=5000\times 1\times \left(10\right)=50000cal=50kcal$

Required heat more than released heat, all the ice will not melt and the final temperture will be $0^{o}C$