A closed system is composed of two systems, A and B, separated by a rigid, impermeable, adiabatic wall. The fundamental equation of system A and B is S=RA U¹/⁴ V¹/² N¹/⁴. System A has a volume of 4 m³ and a mole number of 1 mole. System B has a volume of 16 m³ and a mole number of 3 moles. The total energy of the composite system is 1J. A = 1 Joule⁻¹/⁴. m⁻³/². mole⁻³/⁴. Plot the entropy of system A as a function of its internal energy, Uₐ. (Observe that Sₐ is a monotonically increasing function of Uₐ.)
