Question #24497

How much ice will melt by 50000 J of heat? Latent heat of fusion of ice=336000 J/kg.& (The answer is 150g but need a solution of how)

Expert's answer

QUESTION:

How much ice will melt by 50000 J of heat? Latent heat of fusion of ice Lf=336000J/kgL_f = 336000 \, \mathrm{J/kg}. (The answer is 150g but need a solution of how)

SOLUTION:

As latent heat of fusion of ice is heat absorbed by ice during melting:


Q=LfmiceQ = L_f m_{ice}


Hence


mice=QLf=50000336000=0.1488kg=148.8gm_{ice} = \frac{Q}{L_f} = \frac{50000}{336000} = 0.1488 \, \mathrm{kg} = 148.8 \, \mathrm{g}

ANSWER:

mice=148.8gm_{ice} = 148.8 \, \mathrm{g}

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