steringPhysics Homework a2 Google Chrome ecure l https/lsession.masteringphysics
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steringPhysics Homework a2 Google Chrome ecure l https/lsession.masteringphysics.com/myct/itemview?assignmentProblemID 73835678&offset; next Y 2049 801 Spring 2017 mework Exercise 18.8 xercise 18.8 Part A A welder using a tank of volume 7.60x10-2 m2 fills i with Find the initial mass of oxygen. oxygen (with a molar mass of 32.0 g/mol) at a gauge pressure of 3.30x105 Pa and temperature of 35.5 C The tank has a small leak, and in time some of the oxygen leaks on a day when the temperature is 21.0 C the gauge pressure of the oxygen in the tank is 200 105 Pa Submit My Answers Give Up Part B Find the mass of oxygen that has leaked out SubmitExplanation / Answer
(a). Volume V = 7.6x10 -2 m 3
Molar mass M = 32 g / mol
Gauge pressure P = 3.3x10 5 Pa
Absolute pressure P ' = Po + P
P ' = (1.01x10 5 ) +(3.3x10 5 Pa)
= 4.31x10 5 Pa
From the relation P 'V = nRT
Number of moles n = P ' V / RT Where T = Absolute temperature = 35.5 o C = 35.5+273 = 308.5 K
= (4.31x10 5 )(7.6x10 -2) /(8.314)(308.5)
= 12.771 mol
Initial mass of oxygen m = n M
= 12.771 (32 )
= 408.68 g
(b). Volume V = 7.6x10 -2 m 3
Molar mass M = 32 g / mol
Gauge pressure P = 2x10 5 Pa
Absolute pressure P ' = Po + P
P ' = (1.01x10 5 ) +(2x10 5 Pa)
= 3.01x10 5 Pa
From the relation P 'V = n ' RT '
Number of moles n ' = P ' V / RT Where T ' = Absolute temperature = 21 o C = 21+273 = 294 K
= (3.01x10 5 )(7.6x10 -2) /(8.314)(294)
= 9.3588 mol
Final mass of oxygen m ' = n ' M
= 9.3588 (32 )
= 299.78 g
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