Discussion Forum



1)

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 from 0 to 500 K  at a constant rate. Ignoring any volume change, the following statement (s)  is (are)  correct to a reasonable approximation.

1052021806_p2.JPG


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 0-100 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 absorbtion in the range 400-500K

D) the rate of heat absorption increases in the range 200-300K

Answer:

Option B,C,D

Explanation:

Q=mCT

$\frac{dQ}{dt}=mc\frac{dT}{dt}$

R= rate of absortion of heat =  $\frac{dQ}{dt}\propto C$

 (i) in 0-100K

 C increase, so R increase but not linearly

 (ii) $\triangle Q -mC\triangle T$ as C  is more in (400 K-500K) then

(0-100K) so heat is increasing

(iii) C remains constant so there no change in R from (400 K-500K)

 (iv) C increases so R increases in range (200 K-300K)