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AIIMS 2013
Exam
AIIMS
Year
2013
Subject
Physics
Chapter
Kinetic Theory of Gases

AIIMS 2013 · Physics · Kinetic Theory of Gases

A gas mixture contain one mole O_2 gas and one mole He gas. Find...

A gas mixture contain one mole O2\mathrm{O}_2 gas and one mole He gas. Find the ratio of specific heat at constant pressure to that at constant volume of the gaseous mixture.

Options

  1. A22
  2. B1.51.5
  3. C2.52.5
  4. D44

Correct answer

B. 1.51.5

Step-by-step solution

For mixture of gases, CV=32R+52R1+1=2RC_V=\frac{\frac{3}{2} R+\frac{5}{2} R}{1+1}=2 R CP=2R+R=3RC_P=2 R+R=3 R ∴CPCV=32RR=1.5\therefore \quad \frac{C_P}{C_V}=\frac{3}{2} \frac{R}{R}=1.5
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