Question

11+AV Using the approximation f(v)dv f(v1) Av for small Av, estimate the fraction of nitric oxide (NO) molecules at a temperature of 289 K that have energies between 3.05 x 102 ) and 3.10 x 10-21). - Additional Materials plz help! eBook

Answer 1

Maxwell boltzmann distribution of energy is given by

$f(E) dE = 2 (\frac{E} {\pi})^{1/2} (\frac{1}{kT})^{3/2} e^{-E/kT} dE$

Which gives the no. of molecules having energy between E and E + dE

Here E = 3.05 x 10 ^ (-21) J

and E + dE = 3.10 x 10 ^ (-21) J

Therefore dE = 0.05 x 10 ^(-21) J

k is boltzmann constant = 1.38 x 10 ^(-23) J/K

T = 289 K

Therefore kT = 398.82 x 10^(-23) J

Now no. of molecules with energy within E and E+ dE are

=

= 5.77 x 10^(12) molecules