Problem 1. Number of microstates of N particles in the volume V equals r(E,V,N) = AENV2NN-N, where E is the energy of the gas and A is a constant coefficient. Determine (a) density of states g(E) and statistical weight Ar in the energy interval AE, (b) entropy S and pressure P of the gas, (c) energy as a function of temperature E (T) and heat capacity Cy.

Problem 1. Number of microstates of N particles in the volume V equals r(E,V,N) = AENV2NN-N, where E is the energy of the gas and A is a constant coefficient. Determine (a) density of states g(E) and statistical weight Ar in the energy interval AE, (b) entropy S and pressure P of the gas, (c) energy as a function of temperature E (T) and heat capacity Cy.