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2023

Physics

POST UTME

 1 kg of copper is transferred quickly from boiling water to a block of ice. Calculate the mass of ice melted, neglecting heat loss (Specific heat capacity of copper = 400Jkg1K1400 J kg^{-1}K^{-1} and latent heat of fusion of ice = 333×103Jkg1333 \times 10^{3}Jkg^{-1} )

A.

60g

B.

67g

C.

120g

D.

133g


Correct Answer:

120g

Explanation

heat loss by copper = Heat gain by ice

mcθ=mlmc\theta = ml

copper is from boiling water

Δ\Delta θ\theta = 1000C^0C

1×400×100=m×333001 \times - 400 \times 100 = m \times -33300

m = 40000333000=120g\frac {-40000}{333000} = 120g

heat loss by copper = Heat gain by ice

mcθ=mlmc\theta = ml

copper is from boiling water

Δ\Delta θ\theta = 1000C^0C

1×400×100=m×333001 \times - 400 \times 100 = m \times -33300

m = 40000333000=120g\frac {-40000}{333000} = 120g

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