Translational Kinetic Energy of Ideal Gases – Rankers Physics

Kinetic Theory of Gases: Practice Problem & Solution

Assertion (A): The average translational kinetic energy of the molecules in one mole of all ideal gases, at the same temperature is the same. Reason (R): The average kinetic energy of one mole of any ideal gas at temperature T is given by \( \frac{3}{2}RT \).  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Kinetic Theory of Gases. Understanding the underlying formula is key to arriving at the correct answer below:

The average translational kinetic energy per mole for any ideal gas is \( \frac{3}{2}RT \), dependent only on T.

So (A) is true. The formula in (R) represents this average translational kinetic energy per mole. So (R) is true and correctly explains (A).

Leave a Reply

Your email address will not be published. Required fields are marked *

Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. The quantities of heat required to raise the temperature of two solid copper spheres of radii $r_1$ and $r_2$ ($r_1 = 1.5 r_2$) through $1\text{ K}$ are in the ratio: (2020)
2. Assertion (A): During phase change temperature of the substance remains constant. Reason (R): Internal energy of the substance during change of phase remains constant.  
3. For a certain gas the ratio of specific heats is given to be $\gamma = 1.5$. For this gas: (1990)
4. Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at $100^\circ\text{C}$, while the other one is at $0^\circ\text{C}$. If the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is: (2016 - II)
5. Assertion (A): Two thin blankets put together are less warmer than a single blanket of double the thickness. Reason (R): Thickness increases because of vacuum layer enclosed between the two blankets.