Question

A thermodynamic system is taken through the cycle abcda. The work done by the gas along the path bc is :

• A. Zero
• B. 30 J
• C. –90 J
• D. –60 J

Answer 1

The Correct Option is A

Work done along bc is calculated using the formula W = P ∆V .
- Here, the volume remains constant along bc (∆V = 0).
- Therefore, W = 0.

Answer 2

Step 1: Understand the Thermodynamic Process Along Path bc 

The work done by a gas in a thermodynamic process is given by:

$$ W = P dV $$

Step 2: Analyze the Path bc

The path bc represents an isochoric process, meaning the volume remains constant ( \( dV = 0 \) ).

Step 3: Substitute into the Formula

Since \( dV = 0 \), the work done is:

$$ W = P dV = 0 $$

Step 4: Conclude

The work done along the path bc is 0J.