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

Options

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

Answer

BCD

Explanation

`Q=mCDeltaTrArr(dQ)/(dt)=mc(dT)/(dt)`, R = rate of absorption of heat `=(dQ)/(dt)propC`
(A) in 0-100 K C increase , so R increase but not linearly
(B) `DeltaQ=mCDeltaT` as C is more in (400K-500K) than (0-100K) so heat is increasing
(C ) C remains constant so there no change in R from (400K-500K)
(D) C is increases so R increases in range (200K-300K)