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Question

The figure shows the variation of specific heat capacity (C) of a solid as a function of temperature (T). The temperature is increased continuously from 0 to 500Kat a constant rate. Ignoring any volume change, the following statement(s) is (are) correct to a reasonable approximation.

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A
the rate at which heat is absorbed in the range 0100K varies linearly with temperature T.
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B
heat absorbed in increasing the temperature from 0100K is less than the heat required for increasing the temperature from 400500K.
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C
there is no change in the rate of heat absorption in range 400500K.
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D
the rate of heat absorption increases in the range 200300K.
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Solution

The correct options are
A the rate at which heat is absorbed in the range 0100K varies linearly with temperature T.
B heat absorbed in increasing the temperature from 0100K is less than the heat required for increasing the temperature from 400500K.
C there is no change in the rate of heat absorption in range 400500K.
D the rate of heat absorption increases in the range 200300K.
Sol. (A, B, C, D)
Option (A) is correct because the graph between (0100K)appears to be a straight line upto a reasonable approximation.

Option (B) is correct because area under the curve in the temperature range (0-100 K) is less than in range (400500K).

Option (C) is correct because the graph of C versus T is constant in the temperature range (400500K)

Option (D) is correct because in the temperature range (200300K)specific heat capacity increases with temperature.


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