Calculate the value of mean free path (λ) for oxygen molecules at temperature 27° C and pressure 1.01 × 105 Pa. Assume the molecular diameter 0.3 nm and the gas is ideal. ( k =1.38 × 10-23 JK -1)

Question

Calculate the value of mean free path (λ) for oxygen molecules at temperature 27° C and pressure 1.01 × 105 Pa. Assume the molecular diameter 0.3 nm and the gas is ideal. ( k =1.38 × 10-23 JK -1) (A) 58 nm (B) 32 nm (C) 86 nm (D) 102 nm

Tardigrade Admin · Accepted Answer

λ=( RT /√2 π d 2 N A P ) λ=102 nm

Q. Calculate the value of mean free path $(λ)$ for oxygen molecules at temperature $2 7^{\circ} C$ and pressure $1.01 \times 1 0^{5} P a$ . Assume the molecular diameter $0.3 nm$ and the gas is ideal. $(k = 1.38 \times 1 0^{- 23} J K^{- 1})$

58 nm

32 nm

86 nm

102 nm

$λ = \frac{RT}{2 π d ^{2} N _{A} P}$
$λ = 102 nm$

Q. Calculate the value of mean free path (λ) for oxygen molecules at temperature 27∘C and pressure 1.01×105Pa. Assume the molecular diameter 0.3nm and the gas is ideal. (k=1.38×10−23JK−1)