One mole of a diatomic ideal gas undergoes a cyclic process \(ABC\) as shown in figure. The process \(BC\) is adiabatic. The temperatures at \(A, B\) and \(C\) are \(400\ K, 800\ K \) and \(600\ K\) respectively. Choose the correct statement

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Answer & Solution

Correct Answer

(C) The change in internal energy in the process \(BC\) is \(-500R\)

Step-by-step Solution

Detailed explanation

In cyclic process, change in total internal energy is zero.

\(\Delta {U_{cyclic}} = 0\)

\(\Delta {U_{BC}} = n{C_v}\Delta T = 1 \times \frac{{5R}}{2}\Delta T\)

\(Where,{C_v} = molar\,specific\,heat\,at\,constant\,volume.\)

\(For\,BC,\Delta T = - 200K\)

\(\therefore \,\,\Delta {U_{BC}} = - 500R\)

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