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Figure shows the P-V diagram for a fixed mass of an ideal gas undergoing cyclic process ABCA. AB represents isothermal process. Which of the graph shown in figure represents the P-T Diagram of the cyclic process ?

Figure shows the P-V diagram for a fixed mass of an ideal gas undergoing cyclic process ABCA. AB represents isothermal process. Which of the graph shown in figure represents the P-T Diagram of the cyclic process ? Correct Answer <img alt="F1 Tabrez Anil 22.01.21 D13" src="//storage.googleapis.com/tb-img/production/21/01/F1_Tabrez_Anil_22.01.21_D13.png" style="width: 232px; height: 224px;">

Explanation:

Here the cycle is ABCA:

In P-V diagram:

  • AB represents an isothermal process (hyperbolic).
  • BC represents constant pressure process (isobaric).
  • AC represents constant volume process (isochoric).

​In P-T diagram

  • AB will be a vertical straight line (isothermal process).
  • BC will be a horizontal line (constant pressure process).
  • AC will be a positive slope inclined line (constant volume process).

Ideal gas equation

PV = mRT

for AC V = constant ;

P ∝ T

P = kT (Equation of line);

where k = constant 

[ alt="F1 Tabrez Anil 22.01.21 D14" src="//storage.googleapis.com/tb-img/production/21/01/F1_Tabrez_Anil_22.01.21_D14.png" style="width: 232px; height: 224px;">

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