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Three gases ${CO}_{2}, O_{2}$ and ${Cl}_{2}$ are at the same temperature at 25 °C. Which of the following relations for the average kinetic energy (E) is true?

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\bar{E} ({CO}_{2}) = \bar{E} (O_{2}) = \bar{E} ({Cl}_{2})

\bar{E} ({CO}_{2}) > \bar{E} (O_{2}) > \bar{E} ({Cl}_{2})

\bar{E} ({CO}_{2}) < \bar{E} (O_{2}) < \bar{E} ({Cl}_{2})

\bar{E} ({CO}_{2}) > \bar{E} (O_{2}) < \bar{E} ({Cl}_{2})

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detailed solution

Correct option is A

Energy of motion of 1 mole of gas $= \frac{3}{2} R T \dots (1)$

where R is the gas constant and T is the temperature.
The Maxwell generalisation, or Eq (1), states that at a given temperature, a mole of every gas has the same kinetic energy, which is equal to $\frac{3}{2} RT$

As a result, the kinetic energy of all three gases—CO₂, O₂, and Cl₂is $\frac{3}{2} RT$

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Three gases CO2, O2 and Cl2 are at the same temperature at 25 °C. Which of the following relations for the average kinetic energy (E) is true?