1moles of an ideal gas are in equilibrium at fixed pressure (e. g. 106 pa) and temperature (e. g. 300 k).

1) what is the derivative of the gas' g with respect to volume for those conditions?
at fixed t, p,n dg/dv=
j/m3
2)what is the equilibrium volume for those conditions?
v=
m3
3) the two key features of an ideal gas are:

a) u depends only on n and t, not v.
b) the v dependence of s is given by a term nk*ln(v)

for a gas that obeys (a) but has some excluded volume so s goes as nkln(v? nb)nkln? (v? nb), with b=1.1 × 10-28 m3, find the equilibrium volume v. all other conditions are the same as above.

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.

that the claims meet official rules.

don't misinterpret the claims