<Dd> f E (E) d E = 1 (2 π m k T) 3 / 2 e − E / k T 4 π m 2 m E d E = 2 E π (1 k T) 3 / 2 exp ⁡ (− E k T) d E (\ displaystyle f_ (E) (E) dE = (\ frac (1) ((2 \ pi mkT) ^ (3 / 2))) e ^ (- E / kT) 4 \ pi m (\ sqrt (2mE)) dE = 2 (\ sqrt (\ frac (E) (\ pi))) \ left ((\ frac (1) (kT)) \ right) ^ (3 / 2) \ exp \ left ((\ frac (- E) (kT)) \ right) dE) </Dd> <Dl> <Dd> <Table> <Tr> <Td> <P> f E (E) = 2 E π (1 k T) 3 / 2 exp ⁡ (− E k T) (\ displaystyle f_ (E) (E) = 2 (\ sqrt (\ frac (E) (\ pi))) \ left ((\ frac (1) (kT)) \ right) ^ (3 / 2) \ exp \ left ((\ frac (- E) (kT)) \ right)) (9) </P> </Td> </Tr> </Table> </Dd> </Dl> <Dd> <Table> <Tr> <Td> <P> f E (E) = 2 E π (1 k T) 3 / 2 exp ⁡ (− E k T) (\ displaystyle f_ (E) (E) = 2 (\ sqrt (\ frac (E) (\ pi))) \ left ((\ frac (1) (kT)) \ right) ^ (3 / 2) \ exp \ left ((\ frac (- E) (kT)) \ right)) (9) </P> </Td> </Tr> </Table> </Dd> <Table> <Tr> <Td> <P> f E (E) = 2 E π (1 k T) 3 / 2 exp ⁡ (− E k T) (\ displaystyle f_ (E) (E) = 2 (\ sqrt (\ frac (E) (\ pi))) \ left ((\ frac (1) (kT)) \ right) ^ (3 / 2) \ exp \ left ((\ frac (- E) (kT)) \ right)) (9) </P> </Td> </Tr> </Table>

Maxwellian distribution of speeds in an ideal gas