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JEE Main 2004
Exam
JEE Main
Year
2004
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2004 · Physics · Kinetic Theory of Gases

One mole of ideal monoatomic gas (γ=5 / 30) is mixed with one mole...

One mole of ideal monoatomic gas (γ=5/30)(\gamma=5 / 30) is mixed with one mole of diatomic gas (γ=7/5)(\gamma=7 / 5). What is γ\gamma for the mixture? γ\gamma denotes the ratio of specific heat at constant pressure, to that at constant volume.

Options

  1. A3/23 / 2
  2. B23/1523 / 15
  3. C35/2335 / 23
  4. D4/34 / 3

Correct answer

A. 3/23 / 2

Step-by-step solution

Q=Q1+Q2\mathrm{Q}=\mathrm{Q}_1+\mathrm{Q}_2 n1+n2γm−1=n1γ1−1+n2γ2−1\frac{\mathrm{n}_1+\mathrm{n}_2}{\gamma_{\mathrm{m}}-1}=\frac{\mathrm{n}_1}{\gamma_1-1}+\frac{\mathrm{n}_2}{\gamma_2-1} γm=32\gamma_{\mathrm{m}}=\frac{3}{2}
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