Problem 11.6. A 2kg iron block is taken from a furnace where its temperature was 650°C and placed on a large block of ice at 0°C. Assuming that all the heat given up by the iron is used to melt the ice, how much ice is melted.
A 2kg iron block is taken from a furnaces where ots temperature was 650 °C and placed on a large block of ice at 0°C. ASSUMING that all the heat given up by the iron is used to melt the how much ice is melted?
Data
Mass of iron block =m¹=2kg
Temperature of iron block =t1 =650°c
Mass of ice melted =m²=?
Temperature of ice =t2=0°c
Specific heat capacity of iron =c¹=499.8j/kg.k
Latent heat of fusion of ice = h=336000j/kg
Solution
Δt =650 - 0
ΔT =650°c =650k
According to the law of heat exchange heat lost by ir iron =heat gained by ice
m¹c1ΔT=m2hf
M2= m1c1 Δt/hf
M²=2×499.8×650/ 336000
M²=1.93kg answer
