An ideal gas can be considered as a collection of n weakly interacting particles each of point mass m confined to a cubic volume with linear dimensions l. using quantum mechanics write the energy levels of one such particle in terms of m, l and the quantum number of the state n. how does the number of accessible quantum states for a single particle vary with n? if each particle has on average the thermal energy 3/2 kbtwhat is the average value of the single particle quantum number at 273 k? considering that the density of an ideal gas at standard temperature and pressure 273 k and 1 atmosphere) is about 2.7 x 1019 atoms/cm3, what is approximately the number of different microscopic states that one cubic centimeter of such an ideal gas could (and will) have at 273 k andp-1 atmosphere? now increase t of the cubic centimeter of gas by 1 k. what is the change in the number of accessible microstates?