Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Thermodynamics

Question:

A cyclic process for 1 mole of an ideal gs is shown in the given figure in the V-T, diagram. The work done in AB, BC and CA, respectively, is : 

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Options:

\(0, RT_2 ln (\frac{V_1}{V_2}, R(T_1-T_2)\)

\(R(T_1-T_2), 0, RT_1 ln (\frac{V_1}{V_2}\)

\(0, RT_2 ln (\frac{V_2}{V_1}, R(T_1-T_2)\)

\(0, RT_2 ln (\frac{V_2}{V_1}, R(T_2-T_1)\)

Correct Answer:

\(0, RT_2 ln (\frac{V_2}{V_1}, R(T_2-T_1)\)

Explanation:

Process AB is isochoric;

\(\Rightarrow W_{AB} = P \Delta V = 0\)

Process BC is isothermal; 

\(\Rightarrow W_{BC} = RT_2 ln (\frac{V_2}{V_1})\)

Process CA is isobaric;

\(\Rightarrow W_{CA} = P \Delta V = R \Delta T = R(T_2 - T_1)\)