JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
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
- A Both A and R are true and R is the correct explanation of A
- B Both A and R are true but R is NOT the correct explanation of A
- C A is true but R is false
- D A is false but R is true
Answer & Solution
Correct Answer
(C) A is true but R is false
Step-by-step Solution
Detailed explanation
The average kinetic energy of a gas molecule is directly proportional to its absolute temperature and is given by \(E = \dfrac{f}{2} k_B T\), where \(f\) is the degree of freedom. Since both \(H_2\) and \(O_2\) are diatomic gases, they have the same degrees of freedom (\(f=5\)).…
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