Question

A sample of gas expands from $V_1$ to $V_2$. In which of the following, the work done will be greatest?

• A. Same in all process
• B. Isobaric process
• C. Isothermal process
• D. Adiabatic process

Answer 1

Answer: (B)

. Isobaric process.

$\text{Explanation:-}$

During expansion, work is performed by the gas. The isobaric expansion is represented by the horizontal straight line $A{B}_1$. Since the adiabatic curve is steeper than the isothermal curve, the adiabatic expansion curve $\left(A{B}_3\right)$ must lie below the isothermal curve $\left(A{B}_2\right)$ as shown in the figure.

The work done by a gas is given by the area under the P-V curve. Since the area under $A{B}_1$ is maximum, the work done is maximum in the case of isobaric expansion.

$\text{Hence the correct option is C}$