Using the equipartition theorem calculate the heat capacities Cv and Cp for N systems of:
a) Free particles b)
1-dimensional harmonic oscillators. c)
3-dimensional harmonic oscillators.
d) Monoatomic, diatomic and triatomic molecules.
e) Molecules having 3f degrees of freedom.

hypothesising or postulating

heats surface water up

it was given as a lesson and guide for prayer.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .