For a given gas the coefficient of viscosity is 1.9 × 10⁻⁵ N s m⁻²
and the diffusion coefficient is 1.2 × 10⁻⁵ m² s⁻¹. Calculate the density and mean free path at average molecular velocity of 380 m s⁻¹.
Answer
Density is given by
ρ=ηD=1.9×10−51.2×10−5=1.58kg/m3\rho =\frac{\eta}{D}\\=\frac{1.9\times10^{-5}}{1.2 \times10^{-5} }\\=1.58kg/m^3ρ=Dη=1.2×10−51.9×10−5=1.58kg/m3
Mean free path
λ=1va=1380=2.63×10−3m\lambda=\frac{1}{v_a}\\=\frac{1}{380}\\=2.63\times10^{-3}mλ=va1=3801=2.63×10−3m
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