Q.

If there are no heat losses, the heat released by the condensation of x gm of steam at 100oC into water at 100oC can be used to convert y gm of ice at 0oC into water at 100oC. Then the ratio y : x is nearly

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a

1:1

b

2.5:1

c

2:1

d

3:1

answer is D.

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Detailed Solution

Heat released to convert x gm of steam at 100oC to water at 100oC is x × 540 cals.If y gm of ice is converted from 0oC to water at 100oC it requires heat y×80+y×1×100=180y   ∴ x×540=180y or yx=540180=31
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If there are no heat losses, the heat released by the condensation of x gm of steam at 100oC into water at 100oC can be used to convert y gm of ice at 0oC into water at 100oC. Then the ratio y : x is nearly