A metal block of mass 3.3 ~kg is heated to a temperature of 400^ C and then block is placed on large ice block. The specific heat of the metal is 0.4 ~J ~g ⁻¹ ~K ⁻¹ and heat of fusion of water is 330 Jg ⁻¹ . The maximum amount of ice that can melt is

Step-by-step solution

Given, mass of metal block, m=33 ~kg Temperature, T=400^ C Specific heat of metal block, s_m=0.4 Jg ⁻¹ ~K ⁻¹ =400 Jkg ⁻¹ ~K ⁻¹ Latent heat of fusion, L_f=330 Jg ⁻¹=3.3 10^5 Jkg ⁻¹ If m^ be the maximum amount of mass of melted ice, then aligned m^ L_f & =m s_m T m^ & = m s_m T L_f & = 3.3 400 400 3.3 10^5 =1.6 ~kg aligned