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MHT CET 2024 (2 May, Shift 2) · Pressure & Kinetic Energy of a Gas

Pressure & Kinetic Energy of a Gas question from MHT CET 2024 (2 May, Shift 2)

Q18MHT CET 2024 · 2 MAY · SHIFT 2Medium

Pressure & Kinetic Energy of a Gas

The average translational kinetic energy of nitrogen (molar mass 28) molecules at a particular temperature is 0.042 eV. The translational kinetic energy of oxygen molecules (molar mass 32) in eV at double the temperature is

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Answer: (d)

  1. Average translational KE =32kBT= \frac{3}{2}k_BT does not depend on molar mass, only on TT.
  2. At double the temperature the KE doubles: 2×0.042=0.0842 \times 0.042 = 0.084 eV.
  3. So the answer is (d) 0.084.
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