Homework Statement
1. Estimate the concentration of oxygen in the Earth's atmosphere (in molecules / m^3), at room temperature and at sea-level, assuming the fact that oxygen comprises 21 percent of the Earth's atmosphere by volume.
2. If you were to place a perfect oxygen sensor of...
Figured it out. For anyone who finds this thread:
Once you have Ω_{A} and Ω_{B}
Use
S = kln(Ω_{A}) +kln(Ω_{B})
Then we know that the most probable macrostate is when,
\frac{δS}{δq_{A}} = 0
So just solve for q_{A},then use it to solve for q_{B}.
I got
q_{A} = \frac{200}{3}
q_{B} =...
Homework Statement
Consider two Einstein solid A and B with N_{A} = 200 and N_{B} = 100. Suppose now that the oscillations of solids A and B are different. The energies of oscillators in solid A are measured in units of ε_{A}, so that the energy of solid A is U_{A} = q_{A} ε_{A}. Likewise...
Homework Statement
I was given a sample of 5000 points from an ellipsoidal blob (in 3D) that has some orientation. Assuming that each point has equal mass, I was asked to calculate the inertia tensor of this blob, then find the principal axes to determine the orientation of this blob...
Homework Statement
Estimate the number N of molecules in a few grams of matter. Explain why in that case ln (N) is of the order of 50 whatever the chemical composition.
Homework Equations
M = m/N
where M is the molecular mass
The Attempt at a Solution
I'm really unsure about the entire...