InterviewSolution
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InterviewSolution
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An ideal gas consists of rigid diatomic molecules. How will a diffusion coefficient `D` and viscosity coefficient `eta` change and how many times if the gas volume is decreased adiabatically `n = 10` times ? |
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Answer» `D alpha V sqrt(T), eta alpha sqrt(T)` In an adiabatic process `TV^(gamma - 1) = constant`, or `T alpha V^(1 -gamma)` Now `V` is decreased `(1)/(n)` times. Thus `D alpha V^((3 - gamma)/(2)) = ((1)/(n))^((3 - gamma)/(2)) = ((1)/(n))^(4//5)` `eta alpha of V^((1 - gamma)/(2)) = ((1)/(n))^(-1//5) = n^(1//5)` So `D` decrease `n^(4//5)` times and `eta` increase `n^(1//5)` times. |
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