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BITSAT 2012
Exam
BITSAT
Year
2012
Subject
Physics
Chapter
Kinetic Theory of Gases

BITSAT 2012 · Physics · Kinetic Theory of Gases

The average translational kinetic energy of O_ 2 (molar mass 32)...

The average translational kinetic energy of O2\mathrm{O}_{2} (molar mass 32) molecules at a particular temperature is 0.048eV0.048 \mathrm{eV}. The translational kinetic energy of N2\mathrm{N}_{2} (molar mass 28 ) molecules in eV\mathrm{eV} at the same temperature is

Options

  1. A0.0015
  2. B0.003
  3. C0.048
  4. D0.768

Correct answer

C. 0.048

Step-by-step solution

Given, (EO2=\mathrm{E}_{\mathrm{O}_{2}}=0.048 eV\mathrm{eV}) We know that, Translational kinetic energy, (E=32KT\mathrm{E}=\frac{3}{2} \mathrm{KT}) where, (k=\mathrm{k}=) Boltzmann constant (T=\mathrm{T}=) Temperature (\therefore E∝T\mathrm{E} \propto \mathrm{T}) Since, the temperature is same for both oxygen and nitrogen therefore, (EO2=EN2\mathrm{E}_{\mathrm{O}_{2}}=\mathrm{E}_{\mathrm{N}_{2}}) (\therefore EN2=\mathrm{E}_{\mathrm{N}_{2}}=0.048 eV\mathrm{eV})
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