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TS EAMCET · Physics · Kinetic Theory of Gases

Consider an ideal gas at pressure \(p\), volume \(V\) and temperature \(T\). The mean free path for molecules of the gas is \(L\). If the radius of gas molecules, as well as pressure, volume and temperature of the gas are doubled, then the mean free path will be

  1. A \(\frac{5 L}{2}\)
  2. B \(\frac{L}{4}\)
  3. C \(\frac{L}{8}\)
  4. D \(2 L\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{L}{4}\)

Step-by-step Solution

Detailed explanation

Given, initial values of pressure, volume, temperature, radius of molecule of gas and mean free path are \(P p, V, T, r\) and \(L\), respectively. \(\therefore\) Mean free path,…
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