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JEE Main 202429 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
29 January
Shift
Evening Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2024 · 29 January · Evening Shift · Physics · Kinetic Theory of Gases

N moles of a polyatomic gas ( f = 6 ) must be mixed with two moles...

NN moles of a polyatomic gas(f=6)( f = 6 ) must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of NN is:

Options

  1. A66
  2. B33
  3. C44
  4. D22

Correct answer

C. 44

Step-by-step solution

The equivalent degree of freedom feq{f}_{eq} of the mixture is

feq=n1f1+n2f2n1+n2{f}_{eq} = \dfrac{{n}_{1}{f}_{1} + {n}_{2}{f}_{2}}{{n}_{1} + {n}_{2}}

For diatomic gas feq=5{f}_{eq} = 5.

⇒5=(n)(6)+(2)(3)n+2⇒ 5 = \dfrac{( n ) ( 6 ) + ( 2 ) ( 3 )}{n + 2}

⇒5n+10=6n+6⇒ 5n + 10 = 6n + 6

⇒n=4⇒ n = 4

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