Q 11-11-036JEE MainJEE Main 2026 (6 Apr, Shift 1)Medium
A certain gas is isothermally compressed to $\left(\dfrac{1}{3}\right)^{\text{rd}}$ of its initial volume ($V_0 = 3$ litre) by applying required pressure. If the bulk modulus of the gas is $3 \times 10^5\ \text{N/m}^2$, the magnitude of work done on the gas is ______ J.
Numerical value type. Enter your answer.
Answer: 989
Concept. For a gas compressed isothermally, the bulk modulus equals the pressure ($K=P$). The work on the gas is $W=P_1V_1\ln\dfrac{V_1}{V_2}$.
Step 1. Initial pressure. $P_1=K=3\times10^5$ Pa.
Step 2. Work. $W=3\times10^5\times3\times10^{-3}\times\ln3=900\times1.0986=989$ J.
Answer. $989$.
Solution by Sreeraj P, M.Sc Physics
