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Q. $1\, g$ of a steam at $100^{\circ} C$ melt how much ice at $0^{\circ} C ?$ (Latent heat of ice $=80\, cal / gm$ and latent heat of steam $=540\, cal / gm$ )

Thermal Properties of Matter

Solution:

Suppose $m gm$ ice melted, then heat required for its melting $=m L=m \times 80$ cal. Heat available with steam for being condensed and then brought to $0^{\circ} C$.
$=1 \times 540+1 \times 1 \times(100-0)=640\, cal$
$\Rightarrow $ Heat lost $=$ Heat taken
$\Rightarrow 640=m \times 80 \Rightarrow m=8\, gm$