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List of top Physics Questions on Work done in Thermodynamics asked in MHT CET

For a system of particles in thermal equilibrium, what is the probability that a particle will have energy greater than \( E_0 \) according to the Boltzmann distribution?
A gas expands from an initial volume of \( V_1 = 1 \, \text{m}^3 \) to a final volume of \( V_2 = 3 \, \text{m}^3 \) under constant pressure of \( P = 2 \, \text{atm} \). What is the work done by the gas during this expansion?
A gas in a cylinder is compressed from an initial volume of \( 5 \, \text{m}^3 \) to a final volume of \( 2 \, \text{m}^3 \) while maintaining a constant pressure of \( 1 \times 10^5 \, \text{Pa} \). Calculate the work done by the gas during the compression.
A gas undergoes a process \( PV^2 = \text{constant} \). Initially, pressure = 2 atm, volume = 1 L. It expands to 2 L. Find the work done by the gas in joules.