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Question
A certain amount of heat Q will warm 1 g of material X by 3°C and 1 g of material Y by 4°C. Which material has a higher specific heat capacity?
Solution
We know that heat Q warms 1 g of material X by 3°C. Therefore, substituting these values in a specific heat formula, we get:
Q = 1 × Cx × 3 ...(1)
Similarly, heat Q warms 1 g of material Y by 4°C, therefore
Q = 1 × Cx × 4 ...(2)
As the same heat Q is provided to both materials, the left-hand side of equations (1) and (2) are the same. Hence, on comparing the right-hand sides, we get,
3Cx = 4Cy
Cx = `4/3`Cy and
Cy = `3/4`Cx
Hence, material X has greater specific heat than material Y. It is because its temperature rises less than Y for the mass amount of heat.
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