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MHT CET · Physics · Kinetic Theory of Gases

The translational kinetic energy of the molecules of a gas at absolute temperature ( \(\mathrm{T}\) ) can be doubled

  1. A by increasing \(\mathrm{T}\) to \(4 \mathrm{~T}\)
  2. B by increasing \(\mathrm{T}\) to \(2 \mathrm{~T}\)
  3. C by decreasing \(\mathrm{T}\) to \(\mathrm{T} / 2\)
  4. D by increasing \(\mathrm{T}\) to \(\sqrt{2} \mathrm{~T}\)
Verified Solution

Answer & Solution

Correct Answer

(B) by increasing \(\mathrm{T}\) to \(2 \mathrm{~T}\)

Step-by-step Solution

Detailed explanation

\(
\mathrm{E}_{\text {molecule }}=\frac{3}{2} \mathrm{kT}
\)
Kinetic energy is directly proportional to absolute temperature.
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