Vacuum Chamber
A cubic gas tank containing 100 moles of O2at 25oC is put on a scale inside a vacuum chamber on the surface o?
A cubic gas tank containing 100 moles of O2at 25oC is put on a scale inside a vacuum chamber on the surface of the earth. The edge length of the tank is1 meter, and the mass of the tank can be ignored.
a) What is the pressure P1felt by the scale?
b) What is the pressure P2felt by the inside surface of the gas tank?
c) Can you explain what cause the difference between P1and P2?
a) What is the pressure P1felt by the scale?
find the mass of O2, using its molar mass:
100 moles O2 @ 32.0g/mole – 3200 grams
find the pressure on the scale of this mass of oxygen spread over the surface area of the sclae by ithe bottom of the 1m2cube:
3200 grams / m2
3.2 kilograms / m2 @ 9.68e-5 atm / kg m-2 = 0.01e04 atm
without knowing the units you wish, your answer: 3.2kg/m2 (aka 9.7e-5atm)
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b) What is the pressure P2 felt by the inside surface of the gas tank?
PV=nRT
P(1M3) = 100 moles ( 8.206e-5 atm-m3/K)(298) =2.445 atm
your answer is: 2.25 atm (aka 2.53 e5 kg/m2)
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c) Can you explain what cause the difference between P1and P2?
P1 comes from the total mass /suface area of the base
P2 comes from the molecular impact of the moles of O2 molecules colliding against the surface area, resulting from their velocity @ 298K
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