Question

If there are no heat losses, the heat released by the condensation of x gm of steam at ${100}^{\circ }C$ into water at ${100}^{\circ }C$ can be used to convert y gm of ice at 0°C into water at ${100}^{\circ }C$. Then the ratio y : x is nearly

• A. 1 : 1
• B. 2.5 : 1
• C. 2 : 1
• D. 3 : 1

Answer 1

The correct option is D

3 : 1

Heat released to convert x gm of steam at ${100}^{\circ }C$ to water at ${100}^{\circ }C=x\times 540$ cals.

If y gm of ice is converted from $0^{\circ }C$ to water at ${100}^{\circ }C$ it requires heat $y\times 80+y\times 1\times 100=180y$

$\therefore x\times 540=180yor\frac{y}{x}=\frac{540}{180}=\frac{3}{1}$