Since there are four states, then the grand partition function of the system is

where α is the chemical potential
Then, the occupancy of the system is

Then using this equation,

and approximating Z_int to be kT/0.00018 eV, the model would look as that attached in the figure. That is the occupancy vs. pressure graph.
There are more occupancies when the oxygen is high (high pressure) especially in the lungs. Heme sites tend to be occupied by oxygen.
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If the gravitational pull is zero and I multiply by mass I get a zero
No. You cannot rule out the battery even after the open circuit voltage measurement. The open-circuit voltage may not have changed but the battery's internal resistance may have greatly increased.
The answer would be '<span>The plane of a Foucault pendulum appears to shift its orientation' because it is an experiment to demonstrate the rotation of the earth.
Hope this helps.</span>