Question

An ideal gas undergoes cyclic process ABCDA as shown in given P-V diagram (figure). The amount of work done by the gas is ______.

Options

• 6P₀V₀

• –2P₀V₀

• + 2P₀V₀

• + 4P₀V₀

Answer 1

An ideal gas undergoes cyclic process ABCDA as shown in given P-V diagram (figure). The amount of work done by the gas is `underline(- 2P_0V_0)`.

Explanation:

Consider the P-V diagram given in the question.

Work done in the process ABCD = Area of rectangle ABCDA

= (AB) × BC

= (3V₀ – V₀) × (2P₀ – P₀)

= 2V₀ × P₀

= 2p₀V₀

As the process is going anticlockwise, hence there is a net compression in the gas. So, work done by the gas = –2P₀V₀.