## Question

Steam at 100^{o}C is passed into 1.1 kg of water contained in a calorimeter of water equivalent 0.02 kg at 15^{o}C till the temperature of the calorimeter rises to 80^{o}C. The mass of steam condensed in kilogram is

### Solution

0.13

Let the mass of steam condensed be *m* kg. The latent of vaporisation of water = 556 K cal/kg. Therefore, heat lost by steam = 556 *m* + *m* (100 – 80) = 576 *m* kcal. Heat gained by calorimeter and water = (1.1 + 0.02)(80 – 15) = 72.8 kcal. Now, heat lost = heat gained, i.e.

576 *m* = 72.8

or *m* = **0.13** kg

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