The P − V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD is (Use γ = 1.4 ):

Concept :

For an adiabatic process involving an ideal gas, the work done is given by the formula:

W = (P₁V₁ - P₂V₂) / (γ - 1)

Calculation:

We need to apply the formula for work done during an adiabatic process:

⇒ W = (P₁V₁ - P₂V₂) / (γ - 1)

Given γ = 1.4, we substitute the values:

⇒ W = (P₁V₁ - P₂V₂) / (1.4 - 1)

⇒ W = (P₁V₁ - P₂V₂) / 0.4

From the given options and correct option, we infer the calculation:

⇒ W = -500 J (option 1)

∴ The work done during the adiabatic process CD is -500 J.