InterviewSolution
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InterviewSolution
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As a result of a certain process the viscosity coefficient of an ideal gas increases `alpha=2.0` times and its diffusion coefficient `beta = 4.0` times. How does the gas pressure change and how many times ? |
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Answer» We know `eta = (1)/(2) lt v gt lamda rho = (1)/(3) lt v gt (1)/(sqrt(2) pi d^2) m alpha sqrt(T)` Thus `eta` changing `alpha` times implies `T` changing `alpha^2` times. On the other hand `D = (1)/(3) lt v gt = (1)/(3) sqrt((8 kT)/(pi m)) (kT)/(sqrt(2) pi d^2 p)` Thus `D` changing `beta` means `(T^(3//2))/(p)` changing `beta` times So `p` must change `(alpha^3)/(beta)` times. |
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