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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

0.130

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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 100C to water at 100C is m × 540
(ii) to change water at 100C to water at 80C 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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