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AP EAMCET · PHYSICS · Kinetic Theory of Gases

Two vessels \(A\) and \(B\) contain oxygen. The volume of \(B\) is twice that of \(A\), the pressure of \(B\) is thrice that of \(A\) and the temperature of \(B\) is half of that of \(A\). Then, find the ratio of number of molecules of oxygen in vessels \(A\) and \(B\).

  1. A 1:3
  2. B \(1: 12\)
  3. C \(3: 4\)
  4. D \(1: 6\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1: 12\)

Step-by-step Solution

Detailed explanation

For vessels \(A\) and \(B\), \(\begin{aligned} V_B & =2 V_A \\ p_B & =3 p_A \\ T_B & =\frac{T_A}{2} \end{aligned}\) If \(N_A\) and \(N_B\) be the number of molecules of oxygens in vessels \(A\) and \(B\) respectively, then according to ideal gas equation,…