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 `0-100K` varies linerly with temperature `T`.
B. heat absorbed in increasing the temperature from `0 -100K` is less than the heat required for increasing the temperature form `400-500K`.
C. there is no change in the rate of heat absorbtion in the range `400-500K`.
D. the rate of heat absorption increase in the range `200-300K`.

Answer

B, C, D

Explanation

`q = mCT, (dq)/(dt) = mc (dT)/(dt)`
`R =` rate or absortion of heat `= (dq)/(dt) prop C`
(i) in `0 - 100k C` increases, so `R` increases but not lineraly
(ii) `Deltaq = mCDeltaT` as `C` is more in `(400k - 500k)` then `(0-100k)` so heat is increasing.
(iii) `C` remains constant so there no change in `R` from `(400k - 500k)`
(iv) `C` is increases so `R` is increases in range `(200 k - 300k)`