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JIPMER 2013
Exam
JIPMER
Year
2013
Subject
Chemistry
Chapter
States of Matter

JIPMER 2013 · Chemistry · States of Matter

The average kinetic energy of an ideal gas per molecule in SI units...

The average kinetic energy of an ideal gas per molecule in SI units at 25∘C25^{\circ} \mathrm{C} will be

Options

  1. A6.17×10−21J6.17 \times 10^{-21} \mathrm{J}
  2. B6.17×10−21kJ6.17 \times 10^{-21} \mathrm{kJ}
  3. C6.17×1020J6.17 \times 10^{20} \mathrm{J}
  4. D7.16×10−20J7.16 \times 10^{-20} \mathrm{J}

Correct answer

A. 6.17×10−21J6.17 \times 10^{-21} \mathrm{J}

Step-by-step solution

Average kinetic energy per molecule =32\frac{3}{2} K T =32×1.38×10−23×298=6.17×10−21J per molecule \begin{aligned} & =\frac{3}{2} \times 1.38 \times 10^{-23} \times 298 \\ & =6.17 \times 10^{-21} \mathrm{J} \text{ per molecule }\end{aligned}
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