Question

A block of mass $2.5kg$ is heated to temperature of $500^{\circ }C$ and placed on a large ice block. If the maximum amount of ice that can melt (approx.)is $\frac{x}{2}$ find $x$. Specific heat for the body $=0.1Cal$ $g{m}^{-1}{}^{\circ }C$. (in $kg$ ) and latent heat of ice is, $L_f=80$ cal $g^{-1}$

Answer 1

Answer: 3

Let the amount of ice that melts is $m$ .
Then,
$m\times 80=2500\times 0.1\times 500\Rightarrow m=1562.5g\Rightarrow m\approx 1.5kg=\frac{3}{2}kg$