Question 333: Thermodynamics & KTG

Question

Calculate the value of mean free path ($$\lambda$$) for oxygen molecules at temperature 27$$^\circ$$C and pressure 1.01 $$	imes$$ 10
5
Pa. Assume the molecular diameter 0.3 nm and the gas is ideal. (k = 1.38 $$	imes$$ 10
$$-$$23
JK
$$-$$1
)

Accepted Answer

$${I_{mean}} = {{RT} \over {\sqrt 2 \pi {d^2}{N_A}P}}$$
$$ = {{1.38 	imes 300 	imes {{10}^{ - 23}}} \over {\sqrt 2  	imes 3.14 	imes {{(0.3 	imes {{10}^{ - 9}})}^2} 	imes 1.01 	imes {{10}^5}}}$$
$$ = 102 	imes {10^{ - 9}}$$ m
$$ = 102$$ nm

Answer

32 nm

Answer

58 nm

Answer

86 nm

Answer

102 nm

Thermodynamics & KTG

Calculate the value of mean free path ($\lambda) for oxygen molecules at temperature 27^\circC and pressure 1.01 \times 10 5 Pa. Assume the molecular diameter 0.3 nm and the gas is ideal. (k = 1.38 \times 10 -23 JK -$1 )

Choose the correct answer: