The internal energy (U),pressure (P),and volu | vedclass

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(B) For an ideal gas,the internal energy is given by $U = \frac{f}{2} PV$,where $f$ is the degree of freedom.Given the relation $U = 3PV + 4$,we equat

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Polyatomic only

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(B) For an ideal gas,the internal energy is given by $U = \frac{f}{2} PV$,where $f$ is the degree of freedom.Given the relation $U = 3PV + 4$,we equate the two expressions:$\frac{f}{2} PV = 3PV + 4$Dividing both sides by $PV$,we get:$\frac{f}{2} = 3 + \frac{4}{PV}$$f = 6 + \frac{8}{PV}$Since the term $\frac{8}{PV}$ is positive for a gas,$f > 6$.$A$ gas with degrees of freedom $f > 6$ is classified as polyatomic.

The internal energy $(U)$,pressure $(P)$,and volume $(V)$ of an ideal gas are related as $U = 3PV + 4$. The gas is:

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