Question

If $xgm$ of steam at $100^\circ C$ becomes water at $100^\circ C$ which converts $y\, gm$ of ice at $0^\circ C$ into water at $100^\circ C$ , then the ratio $\frac{x}{y}$ will be,

• A. $\frac{1}{3}$
• B. $\frac{27}{4}$
• C. $3$
• D. $\frac{4}{27}$

Answer 1

Answer: (A)

Heat loss by steam will be equal to heat gained by water at $100^\circ C$ .
Therefore,
$x\times 540=\left(y \times 80\right)+\left(y \times 1 \times 100\right)$ ,
$\Rightarrow 540x=180y$
$\Rightarrow \frac{x}{y}=\frac{1}{3}$