A piece of ice (heat capacity = 2100 J kg–1 °C–1 and latent heat = 3.36 × 105 J kg–1) of mass m grams is at –5°C at atmospheric pressure. It is given 420 J of heat so that the ice starts melting. Finally when the ice-water mixture is in equilibrium, it is found that 1gm of ice has melted. Assuming there is no other heat exchange in the process, the value of m is

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A piece of ice (heat capacity = 2100 J kg^–1 °C^–1 and latent heat = 3.36 × 10⁵ J kg^–1) of mass m grams is at –5°C at atmospheric pressure. It is given 420 J of heat so that the ice starts melting. Finally when the ice-water mixture is in equilibrium, it is found that 1gm of ice has melted. Assuming there is no other heat exchange in the process, the value of m is

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m × 2100 × 5 + 10^–3 × 3.36 × 10⁵ = 420

$m = \frac{84}{10 .5} = 8 gm$

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