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 $0to500K$at a constant rate. Ignoring any volume change, the following statement(s) is (are) correct to a reasonable approximation.

• A. the rate at which heat is absorbed in the range $0-100K$ varies linearly with temperature T.
• B. heat absorbed in increasing the temperature from $0-100K$ is less than the heat required for increasing the temperature from $400-500K$.
• C. there is no change in the rate of heat absorption in range $400-500K$.
• D. the rate of heat absorption increases in the range $200-300K$.

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A the rate at which heat is absorbed in the range $0-100K$ varies linearly with temperature T.
B heat absorbed in increasing the temperature from $0-100K$ is less than the heat required for increasing the temperature from $400-500K$.
C there is no change in the rate of heat absorption in range $400-500K$.
D the rate of heat absorption increases in the range $200-300K$.

Sol. (A, B, C, D)
Option (A) is correct because the graph between $(0-100K)$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 $(400-500K)$.

Option (C) is correct because the graph of C versus T is constant in the temperature range $(400-500K)$

Option (D) is correct because in the temperature range $(200-300K)$specific heat capacity increases with temperature.