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COMEDK · Physics · 13. Thermodynamics

Two vessels A and B contain same mass of Oxygen and Hydrogen respectively at the same temperature. The volume of B is twice that of A. The ratio of gas pressure in A to that in B is

  1. A \(1:64\)
  2. B \(1:8\)
  3. C \(1:256\)
  4. D \(1:32\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1:8\)

Step-by-step Solution

Detailed explanation

Using the ideal gas equation, \(PV = nRT = \dfrac{m}{M}RT\), where \(m\) is the given mass and \(M\) is the molar mass. For vessel A containing Oxygen (\(O_2\), \(M_A = 32\)): \(P_A = \dfrac{mRT}{32 V_A}\) For vessel B containing Hydrogen (\(H_2\), \(M_B = 2\)):…
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