Steam at 100 ° C is passed into 1 . 1 kg of water contained in a calorimoter of water equivalent to 0 . 2 kg at 15 ° C till the temperature of the calorimeter and its contents rises to 80 ° C . The mass of steam condensed (in kg ) is

Step-by-step solution

(a) According to principle of calorimetry, heat gained = heat lost Heat is lost by steam in two stages (i) 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 the steam condensed. Total heat lost by steam is m × 540 + m × 20 = m   540 + 20 = 560   m Heat gained by calorimeter and its contents is 1 . 1 + 0 . 2 × 80 -