# Question: it can be shown that the randomness of a monatomic...

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It can be shown that the randomness of a monatomic ideal gas is given by

ω(U,V,N) =
f(N)V^{N}U^{3N/2}

where f(N) is is a complicated function. Using this equation and Stirling’s approximation, find a fairly simple expression for the entropy, S , of an ideal monatomic gas (i.e. throw away the smaller terms). Calculate the entropy of a mole of argon gas at room temperature and atmospheric pressure. Calculate the entropy of a mole of helium gas at room temperature and atmospheric pressure. If they are different, explain why.