Question

A thermally isolated vessel contains $100g$ of water at $0^{o}C$ When air above the wall pumped out, some of the water freezes and some evaporates at $0^{o}C$ itself. Calculate the number of the ice formed if no water is left in the vessel. Latent heat of vaporization of water $0^{o}C=\times {10}^{6}Jk{g}^{-1}$ and latent heat of fusion of ice $=3.36\times {10}^{5}Jk{g}^{-1}$

Answer 1

The total amount is given as,

$x+y=100$ (1)

Heat lost$=$ Heat Gained

$y\times 3.36\times {10}^5=x\times 2.1\times {10}^6$

$\frac{y}{x}=\frac{21}{3.36}$ (2)

From equation (1) and (2), we get

$y=\frac{210000}{2436}$

$y=86.21g$

The amount of ice formed is $86.21g$.