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BITSAT 2023Paper 2
Exam
BITSAT
Year
2023
Paper
Paper 2
Subject
Physics
Chapter
Kinetic Theory of Gases

BITSAT 2023 · Paper 2 · Physics · Kinetic Theory of Gases

A flask contains hydrogen and oxygen in the ratio of 2: 1 by mass...

A flask contains hydrogen and oxygen in the ratio of 2:12: 1 by mass at temperature 27∘C27^{{}^{\circ}} \mathrm{C}. The ratio of average kinetic energy per molecule of hydrogen and oxygen respectively is :

Options

  1. A
    2 : 1
  2. B
    1 : 1
  3. C
    1 : 4
  4. D
    4 : 1

Correct answer

B.
1 : 1

Step-by-step solution

Average kinetic energy for diatomic gases
Kav=52kT∴(Kav)H(Kav)O=(27+273)(27+273)=1\begin{aligned} \\ & \mathrm{K}_{\mathrm{av}}=\frac{5}{2} \mathrm{kT} \\ \\ & \therefore \frac{\left(\mathrm{K}_{\mathrm{av}}\right)_{\mathrm{H}}}{\left(\mathrm{K}_{\mathrm{av}}\right)_{\mathrm{O}}}=\frac{(27+273)}{(27+273)}=1 \\ \end{aligned}
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