Hello. I am trying to calculate the pressure in the following Problem.
It can be said that one molecule of oxygen would fill a one cubic foot container. Under this condition what pressure would you expect to find in the container?
I understand how to calculate pressures with the combined Gas Laws but this question does not include the necessary relationships of pressure.
I have found some formulas on the internet with the help of a friend. I have attempted to make the calculation and wish to find out if it is done correctly or if there is another method of doing the calculation.
Here is the formula I used. Will this work? and is it correct?
P=NRT/V
N= Number of moles 1 or 2 moles.. O2 diatomic right?
I will do both calculations below
R=.082 L ATM Is this a standard gas pressure?
What is this exactly? It was a given number.
T= 273 K had to assume 273k. is this correct?
V= 1 cu ft must converted to 28.32 L ?
(1 Molecule/ 6.022 x 10^ -23) x .082x273/28.32L
1.6605 x 10^22 x .082 = 1.36 x 10^21
1.36 x 10^21 x 273 = 3.72 x 10^23
3.72 x 10^23 / 28.32 = 1.3126 x 10^22
Answer is 1.3126 x 10^22 Is this ATM ? Is it correct?
Calculation with 2 moles oxygen
(2 Molecule/ 6.022 x 10^ -23) x .082 x273/28.32L
2/6.022 x 10^ -23) =3.321 x 10^22
3.321 x 10^22 x .082 = 2.723 x 10 ^23
2.723 x 10 ^23 x 273 = 7.434 x 10 ^23
7.434 x 10 ^23 / 28.32L =2.625 x 10^ 22 ATM ??
Is this correct?
Is there another method?
Please email me if you have any info on this problem and how it is done correctly.
joe_z_wales56@yahoo.com