Calculate the work involved when one mole of an ideal gas is expanded reversibly from 20.0 dm^3

step 1 In the given question, we have to calculate the work done for an one mole of an ideal gas. So th

Calculate the work involved when one mole of an ideal gas is...

Key Concepts

Isothermal Process

An isothermal process is one that occurs at a constant temperature throughout. For an ideal gas undergoing an isothermal process, the internal energy remains constant, and any work done by or on the gas is exactly balanced by heat transferred into or out of the system, as dictated by the first law of thermodynamics.

Ideal Gas Law

The ideal gas law, given by the equation PV = nRT, relates the pressure, volume, and temperature of an ideal gas. This law is essential in calculations involving thermodynamic processes, including expansion and compression, as it provides a basis for understanding how changes in one state variable affect the others.

Reversible Process

A reversible process is an idealized concept in thermodynamics where the system changes occur infinitely slowly, ensuring that the system remains in thermodynamic equilibrium at every stage. In such processes, the work performed is maximal, and the process can be exactly reversed with no net changes in the system or surroundings.

Work in Thermodynamics

Work in thermodynamics refers to the energy transferred by a system as it expands or contracts against an external pressure. For processes such as the isothermal expansion of an ideal gas, the work is calculated by integrating the pressure with respect to the change in volume, often leading to logarithmic expressions that reflect the nature of the variable pressure across the expansion range.

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