A sphere of aluminium of 0.04 kg placed for sufficient time in a vessel containing boiling water, so that the sphere is at
$100 ° C$ . It is then immediately transfered to 0.2 kg copper calorimeter containing 0.2 kg of water at $22 ° C$ . The temperature of water rises and attains a steady state at $25 ° C$ . The specific heat capacity of aluminium is nearly (specific heat capacity of copper $= 400 J k g^{- 1} K^{- 1}$ )

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$920 J {kg}^{- 1} K^{- 1}$

$521 J {kg}^{- 1} K^{- 1}$

$212 J {kg}^{- 1} K^{- 1}$

$621 J {kg}^{- 1} K^{- 1}$

answer is A.

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Detailed Solution

$(0.04 \times s \times 75)$
$= (0.2 \times 400 \times 3) + (0.2 \times 4200 \times 3)$
$s = 920 J {kg}^{- 1} K^{- 1}$

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