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Factors Affecting Melting Point

In an energy ...

Question

In an energy recycling process, $X g$ of steam at $100^{0} C$ becomes water at $100^{0} C$ which converts $Y g$ of Ice at $0^{0} C$ into water at $100^{0} C$ . The ratio of $X / Y$ will be

\frac{1}{3}

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\frac{2}{3}

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3

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2

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Solution

The correct option is A $\frac{1}{3}$
$\begin{matrix} X_{(g)} \to X_{(g)} s t e a m a t 100^{0} C w a t e r a t 0^{0} C Y_{(g)} \to Y_{(g)} Y_{(g)} i c e a t 0^{0} C w a t e r a t 0^{0} C w a t e r a t 100^{0} C R e l e a s e d E n e r g y = m L θ = 540 X R e q u i r e d E n e r g y = m L f + m s Δ T = Y (80) + Y (1) 100 = 180 Y 540 X = 180 Y \frac{X}{Y} = \frac{1}{3} \end{matrix}$
Hence, Option $A$ is correct.

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