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Question

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

A

0.130

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B

0.065

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C

0.260

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D

0.135

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Solution

## The correct option is A 0.130 Heat is lost by steam in two stages (i) for change of state from steam at 100∘C to water at 100∘C is m × 540 (ii) to change water at 100∘C to water at 80∘C is m × 1 × (100 - 80), where m is the mass of steam condensed. Total heat lost by steam is m × 540 + m × 20 = 560 m (cals) Heat gained by calorimeter and its contents is = (1.1 + 0.02) × (80 - 15) = 1.12 × 65 cals. using Principle of calorimetery, Heat gained = heat lost \ 560 m = 1.12 × 65, m = 0.130 gm

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