Question

The figure below shows the variation of specific heat capacity (C) of a solid as a function of temperature (T). The temperature is increased continuousely form 0 to 500K at a constant rate. Ignorign 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 the range 400-500K.
D. The rate of heat absorption increases in the range 200-300K.

Answer 1

Correct Answer - A::B::C::D
(a,b,c,d)
We know that `dQ=mCdT` in the range 0 to 100K
From the graph, C increases linearly with temperature
therefore the rate at which heat is absorbed varies linearly
with temperature. Option (a) is correct
As the value of C is greater in the temperature range `400-
500K,` the heat absorbed in increasing the temperature from
`0-100K` is less than the heat required for increasing the
temperature from `400-500K` option (b) is correct.
From the graph it is clear that the value of C does not
change in the temperature range `400-500K,` therefore there
is no change in the rate of heat absorption in this range.
Option (c) is correct.
As the value of C increasing from `200-300K,` the rate of heat
absorption increase in the range `200-300K.` Option (d) is
also correct.