Question:

The ratio of molar specific heats of oxygen is

Updated On: Apr 16, 2025
  • 1.4
  • 1.67
  • 1.33
  • 1.28
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The Correct Option is A

Approach Solution - 1

The ratio of the molar specific heats of oxygen is given by the ratio \( \gamma = \frac{C_p}{C_v} \), where:

  • \( C_p \) is the specific heat at constant pressure.
  • \( C_v \) is the specific heat at constant volume.

For a diatomic gas like oxygen (O₂), the value of \( \gamma \) is approximately 1.4.

Thus, the correct ratio of molar specific heats for oxygen is \( \gamma = 1.4 \).

Therefore, the correct answer is (A) 1.4.

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Approach Solution -2

The ratio of molar specific heats (γ) for a gas is given by: \[ \gamma = 1 + \frac{2}{f} \] where f is the number of degrees of freedom. For O₂, f = 5, so \[ \gamma = 1 + \frac{2}{5} = 1.4 \] 

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