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Question

Steam at 100C is passed into 1.1 kg of water contained in a calorimeter of water equivalent 0.02 kg at 15C till the temperature of the calorimeter and its contents rises to 80C.The mass of the steam condensed in kg is

A
0.13
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B
0.065
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C
0.26
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D
0.135
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Solution

The correct option is A 0.13
Let M be the mass of steam condensed.
Amount of heat lost by the steam due to latent heat of condensation and due to cooling to 80C
=M×540+m(10080)
Amount of heat absorbed by the water and calorimeter system=1100×1×(8015)+20×1×(8015)
From conservation of heat energy,
=M×540+M(10080) =1100×1×(8015)+20×1×(8015)
M=130g=0.130kg

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