Q.
A copper block of mass 2.5 kg is heated in a furnace to a temperature of 5000C and then placed on a large ice block. What is the maximum amount (approx.) of ice that can melt? (Specific heat of copper = 0.39 J/g0C latent heat of fusion of ice = 335 J/g)
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a
2 kg
b
1.5 kg
c
2.5 kg
d
0.5 kg
answer is B.
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Detailed Solution
Here, mass of copper block, M = 2.5 kg = 2.5× 103 gRise in temperature of the copper block, ∆T = 5000C-00C = 5000CSpecific heat of copper. c = 0.39 J/g0CLatent heat of fusion of water, L = 335 J/gIf m is the mass of ice melted, applying the principle of calorimetry,Heat gained by ice = heat lost by copper blocki.e., mL = Mc ∆Tor m = Mc ∆TL = 2.5×103(g)×0.39(J/gC0)×500(Co)335(J/g) = 1455 g = 1.455 = 1.5 kg
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