Physic Labs

Problem 2

A monatomic ideal gas of n moles at fixed absolute temperature T is confined by a frictionless piston. It expands slowly and reversibly from V₁ to V₂>V₁, remaining in thermal equilibrium with a reservoir at T; R is the gas constant. (a) Write the equation of state and calculate work done by the gas. (b) Find ΔU and heat Q absorbed, taking work by the gas as positive. (c) Explain why ΔU is independent of atomic species in this isothermal process. Use SI units throughout and treat components as ideal exactly as specified. State sign conventions when writing equations and retain units in final results.
pV=nRTpV=nRT
problems.proof.analysis

First identify the system, given quantities, and sign convention; this determines what is conserved or acts on the body. The stated idealizations exclude unmentioned forces or effects.