A piece of copper of mass 20g at a temperature of 110°C was dropped into...

PHYSICSWAEC 2012

A piece of copper of mass 20g at a temperature of 110°C was dropped into a mixture of ice and water at 0°C. If the final steady temperature of the mixture is 0°C . Calculate the amount of ice that melted [Specific heat capacity of copper = 0.4 Jg\(^{-1}\)K\(^{-1}\), specific latent heat of fusion of ice = 330Jg\(^{-1}\)]

  • A. 0.37g
  • B. 0.60g
  • C. 2.40g
  • D. 2.70g

Correct Answer: D. 2.70g

Explanation

Mice = \(\frac{MC}{\theta}\)

= \(\frac{20 \times 0.4 \times 110}{330}

Heat lost by copper = Heat gained by ice

m\(_{copper}\) c \(\theta\) = m\(_{ice}\) L

20 x 0.4 x (110 - 0) = m\(_{ice}\) x 330

m\(_{ice}\) = \(\frac{20 \times 0.4 \times 110}{330}\)

= \(\frac{8}{3}\)

= 2.67 g

= 2.70g (to 1 d.p)

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