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JEE Main 20248 AprilMorning Shift
Exam
JEE Main
Year
2024
Date
8 April
Shift
Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2024 · 8 April · Morning Shift · Physics · Kinetic Theory of Gases

A mixture of one mole of monoatomic gas and one mole of a diatomic...

A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature (27∘C)\left(27^{\circ} \mathrm{C}\right). The ratio of specific heat of gases at constant volume respectively is:

Options

  1. A75\frac{7}{5}
  2. B35\frac{3}{5}
  3. C53\frac{5}{3}
  4. D32\frac{3}{2}

Correct answer

B. 35\frac{3}{5}

Step-by-step solution

(Cv)mono (Cv)dia=32R52R=35\frac{\left(\mathrm{C}_{\mathrm{v}}\right)_{\text{mono }}}{\left(\mathrm{C}_{\mathrm{v}}\right)_{\mathrm{dia}}}=\frac{\frac{3}{2} \mathrm{R}}{\frac{5}{2} \mathrm{R}}=\frac{3}{5}
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