Take as a a trial function for the ground state of the hydrogen atom

(a) e−kr,
(b) e−kr2 and use the variational principle to find the optimal value of k in each case. Identify the better wavefunction. The only part of the laplacian that need be considered is the part that involves radial derivatives.

Nitrogen (n2) undergoes an internally reversible process from 6 bar, 247°c during which pν1.2 = constant. the initial volume is 0.1 m3 and the work for the process is 121.14 kj. assuming ideal gas behavior, and neglecting kinetic and potential energy effects, determine heat transfer, in kj, and the entropy change, in kj/s. show the process on a t-s diagram.