4. When we have a probability function, we can calculate average of a variable. So, e-Ei...

 

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4. When we have a probability function, we can calculate average of a variable. So, e-Ei for example if the probability of a molecule in the energy state E is p = then the average energy E is: Ele-E E = (pE) = E i Eie-Ei i e-Et The above equation can be converted to an integral as: 500 Ee-BE dE 58 e-Bede where E is a continuous variable. Consider a molecule of mass m and momentum p. This is momentum varies. Consider that this molecule is part of a fluid, which is at a height h from the ground level. The fluid as a whole is moving with a velocity Vin one direction. 1. Using the above equation, calculate how the average energy E* is modified when you take into account the average kinetic and the potential energy of the fluid compared to what you would obtain when you consider only the molecular kinetic energy 2. Now, consider that you perform the above calculation for N number of molecules in the fluid. What would the chemical potential? 4. When we have a probability function, we can calculate average of a variable. So, e-Ei for example if the probability of a molecule in the energy state E is p = then the average energy E is: Ele-E E = (pE) = E i Eie-Ei i e-Et The above equation can be converted to an integral as: 500 Ee-BE dE 58 e-Bede where E is a continuous variable. Consider a molecule of mass m and momentum p. This is momentum varies. Consider that this molecule is part of a fluid, which is at a height h from the ground level. The fluid as a whole is moving with a velocity Vin one direction. 1. Using the above equation, calculate how the average energy E* is modified when you take into account the average kinetic and the potential energy of the fluid compared to what you would obtain when you consider only the molecular kinetic energy 2. Now, consider that you perform the above calculation for N number of molecules in the fluid. What would the chemical potential?