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Question

50g of copper is heated to increase its temperature by 10C. If the same quantity of heat is given to 10g of water, the rise in its temperature is (specific heat of copper = 420J/kg/C, specific heat of water = 4200J/kg/C)


A

5°C

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B

6°C

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C

7°C

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D

8°C

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Solution

The correct option is A

5°C


Given

Mass of copper = 50g

Mass of water = 10g

specific heat of copper = 420J/kg/C

specific heat of water = 4200J/kg/C

Change in temperature = ΔT

Same amount of heat is supplied to copper and water; so Q1 = Q2

mcccΔTc = mωcωΔTω

(ΔT)ω = mcccΔTcmωcω = 50 × 103 × 420 × 1010 × 103 × 4200 = 5C


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