A piece of ice (heat capacity `=2100^(circ) (J) (kg)^(-1)(circ) C^(-1)` and latent heat `=3.36 xx 10^5 Jkg^(-1)` ) of mass `m` grams is at `-5^(circ) 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 `1 g` of ice has melted. Assuming there is no other heat exchange in the process, the value of `m` is

Answer

8