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BigorU [14]
3 years ago
14

The mean free path of nitrogen molecules at 2.3°C and 1.28 atm is 1.51 x 10-5 cm. At this temperature and pressure there are 3.4

1 x 1019 molecules/cm3. What is the molecular diameter?
Chemistry
1 answer:
Marrrta [24]3 years ago
7 0

Answer : The molecular diameter is, 2.179\times 10^{-8}cm[/tex]

Explanation :

Formula used for mean free path :

\lambda=\frac{1}{\sqrt{2}\pi d^2(\frac{N}{V})}

where,

\lambda = Mean free path = 1.51\times 10^{-5}cm

d = diameter of molecule = ?

\frac{N}{V} = number of molecules per unit volume  = 3.41\times 10^{19}molecules/cm^3

Now put all the given values in this formula, we get:

1.51\times 10^{-5}cm=\frac{1}{\sqrt{2}\times (3.14) (d)^2\times (3.14\times 10^{19})}

d=2.179\times 10^{-8}cm[/tex]

Therefore, the molecular diameter is, 2.179\times 10^{-8}cm[/tex]

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