Question

One gm of ice at $0^{0}C$ is added to 5gm of water at ${10}^{0}C$. If the latent heat is 80 cal/gm, the final temperature of the mixture is -

• A. $5^{0}C$
• B. $0^{0}C$
• C. $-5^{0}C$
• D. none of these

Answer 1

The correct option is C $-5^{0}C$

Heat gained by ice $+$ latent heat$=$ heat loss by water

$m_1{s}_{1}dt+m_1=m_2{s}_2.d_2$

$1\times 1\times (t-0)+1.180=5\times 1\times (10-t)$

$t+80=50-5t$

$t+5t=80-50$

$6t=-30$

$t=\frac{-30}{6}$

$t=-5$

$\therefore$ the final temperature of the mixture is $-5^{o}C$