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Concepts Of Physics MCQ Edition [Volume 2]PhysicsKinetic Theory of Gases

The given figure displays graphs of pressure versus density for an ideal gas at two temperatures T₁ and T₂ .

Options

  1. AT₁ = T₂
  2. BAny of the three is possible
  3. CT₁ > T₂
  4. DT₁ < T₂

Correct answer

C. T₁ > T₂

Step-by-step solution

From the ideal gas equation, pV = nRT . Substituting number of moles n = m M and density = m V , we get: p = ( RT M ) This represents a straight line equation y = mx where the slope m = RT M . Thus, the slope of the p versus graph is directly proportional to the temperature T . From the given graph, the slope of the line at temperature T₁ is greater than the slope of the line at temperature T₂ . Therefore, T₁ > T₂ .

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