Question 1: Thermodynamics & KTG

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 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.
![](https://app-content.cdn.examgoal.net/fly/@width/image/1l1qh6sg7/4931062f-9775-4789-90bb-4015e8af7354/6e3fb970-b741-11ec-885a-17f955768420/file-1l1qh6sg8.png?format=png)

Accepted Answer

According to definition of specific heat capacity,
$C = {{\Delta Q} \over {m\Delta T}}$
$ \Rightarrow \Delta Q = mC\Delta T$ $	herefore$ ${{\Delta Q} \over {\Delta t}} = mC{{\Delta T} \over {\Delta t}}$
Rate of heat absorbed $R = {{\Delta Q} \over {\Delta t}}$
$ \Rightarrow {{\Delta Q} \over {\Delta t}} \propto C$
(a) In 0-100 K,
C increases with T but not linearly. So R increases but not linearly.
(b) As $\Delta Q = mC\Delta T$
$Q = m\int {C\Delta T} $
= m area under C-T curve
From the graph it is clear that area under C-T is more in 400-500 K than in 0-100 K.
Therefore, heat absorbed in 0-100 K is less than in 400-500 K.
(c) In 400-500 K,
C remains constant so there is no change in R.
(d) In 200-300 K,
C increases so R increases.
![](https://app-content.cdn.examgoal.net/fly/@width/image/1l1qh998r/942416f6-c799-4a0b-975e-6ff52cdf3d02/b2d714c0-b741-11ec-885a-17f955768420/file-1l1qh998s.png?format=png)

Answer

The rate at which heat is absorbed in the range 0-100 K varies linearly with temperature T.

Answer

Heat absorbed in increasing the temperature from 0-100 K is less than the heat required for increasing the temperature from 400-500 K.

Answer

There is no change in the rate of heat absorption in the range 400-500 K.

Answer

The rate of heat absorption increases in the range 200-300 K.

Thermodynamics & KTG

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.

Choose the correct answer: