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WBJEE · Physics · Thermodynamics

Certain amount of an ideal gas is taken from its initial state 1 to final state 4 through the paths \(1 \rightarrow 2 \rightarrow 3 \rightarrow 4\) as shown in figure. \(A B, C D, E F\) are all isotherms. If \(v_p\) is the most probable speed of the molecules, then

  1. A \(v_p\) at \(3=v_p\) at \(4>v_p\) at \(2>v_p\) at 1
  2. B \(v_p\) at \(3>v_p\) at \(1>v_p\) at \(2>v_p\) at 4
  3. C \(v_p\) at \(3>v_p\) at \(2>v_p\) at \(4>v_p\) at 1
  4. D \(v_p\) at \(2=v_p\) at \(3>v_p\) at \(1>v_p\) at 4
Verified Solution

Answer & Solution

Correct Answer

(A) \(v_p\) at \(3=v_p\) at \(4>v_p\) at \(2>v_p\) at 1

Step-by-step Solution

Detailed explanation

\(v_p \propto \sqrt{T}\)