States of Matter - Result Question 5

5. The combination of plots which does not represent isothermal expansion of an ideal gas is

(2019 Main, 12 Jan II)

<img src=“https://temp-public-img-folder.s3.amazonaws.com/sathee.prutor.images/sathee_image/cropped_2024_01_16_b4fdca9f34924034e8d8g-074_jpg_height_253_width_252_top_left_y_1908_top_left_x_1286.jpg"width="150">

(A)

<img src=“https://temp-public-img-folder.s3.amazonaws.com/sathee.prutor.images/sathee_image/cropped_2024_01_16_b4fdca9f34924034e8d8g-074_jpg_height_265_width_255_top_left_y_1908_top_left_x_1560.jpg"width="150">

(B)

<img src=“https://temp-public-img-folder.s3.amazonaws.com/sathee.prutor.images/sathee_image/cropped_2024_01_16_b4fdca9f34924034e8d8g-074_jpg_height_253_width_275_top_left_y_2207_top_left_x_1263.jpg"width="150">

(C)

<img src=“https://temp-public-img-folder.s3.amazonaws.com/sathee.prutor.images/sathee_image/cropped_2024_01_16_b4fdca9f34924034e8d8g-074_jpg_height_258_width_249_top_left_y_2204_top_left_x_1563.jpg"width="150">

(D)

(a) $(A)$ and $(C)$

(b) $(B)$ and $(C)$

(c) $(B)$ and $(D)$

(d) $(A)$ and $(D)$

Show Answer

Solution:

In isothermal expansion, $p V _m=K$ (constant)

This relation is plotted in graph ’ $C$ '

Likewise, $\quad p=\frac{K}{V _m}$

This relation is plotted in graph " $A$ “.

Thus, graph $B$ and $D$ are incorrect.

For them the correct graphs are:

<img src=“https://temp-public-img-folder.s3.amazonaws.com/sathee.prutor.images/sathee_image/cropped_2024_01_16_b4fdca9f34924034e8d8g-081_jpg_height_221_width_790_top_left_y_2404_top_left_x_1235.jpg"width="400">