Assertion A: If the average kinetic energy of and molecules, kept in two different sized containers are same, then their temperatures will be same.

Question

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: If the average kinetic energy of $H_{2}$ and $O_{2}$ molecules, kept in two different sized containers are same, then their temperatures will be same.

Reason R: The r.m.s. speed of $H_{2}$ and $O_{2}$ molecules are same at same temperature.

Choose the correct answer from the options given below: [2026]

Smart Achievers · Accepted Answer

(3)

$Avg. kinetic energy of molecule will be \frac{f}{2} K T$

$But v_{rms} = \sqrt{\frac{3 R T}{M}}$

$Since the molar masses are different, the v_{rms} values are different.$

Solution

1 Both A and R are true and R is the correct explanation of A

2 Both A and R are true but R is NOT the correct explanation of A

3 A is true but R is false

4 A is false but R is true

Ans.
(3)

$Avg. kinetic energy of molecule will be \frac{f}{2} K T$

$But v_{rms} = \sqrt{\frac{3 R T}{M}}$

$Since the molar masses are different, the v_{rms} values are different.$

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