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AP EAMCET · PHYSICS · Thermodynamics

In the given pressure \((\mathrm{P})\) - absolute temperature \((\mathrm{T})\) graph of an ideal gas, the relation between volumes \(V_1, V_2, V_3\) and \(\mathrm{V}_4\) is

  1. A \(V_1=V_2=V_3=V_4\)
  2. B \(V_1>V_2>V_3>V_4\)
  3. C \(V_1>V_2>V_3 < V_4\)
  4. D \(\mathrm{V}_1 < \mathrm{V}_2 < \mathrm{V}_3 < \mathrm{V}_4\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\mathrm{V}_1 < \mathrm{V}_2 < \mathrm{V}_3 < \mathrm{V}_4\)

Step-by-step Solution

Detailed explanation

From the ideal gas equation \[ \begin{aligned} & \mathrm{PV}=\mathrm{n} \cdot \mathrm{R} T \\ & \frac{\mathrm{P}}{\mathrm{T}}=\frac{\mathrm{C}}{\mathrm{V}} \\ & \mathrm{V}=\frac{\mathrm{C}}{\mathrm{P} / \mathrm{T}} \propto \frac{1}{\text { slop of the graph }} \end{aligned} \]…