A compressed air cylinder stands 100 cm tall and has an internal diameter of 34.
ID: 2250911 • Letter: A
Question
A compressed air cylinder stands 100 cm tall and has an internal diameter of 34.0cm. At room temperature, the pressure is 190atm . Submitted Answers ANSWER 1: Deduction: -3% V = 17250.48 m3 ANSWER 2: Deduction: -3% V = 17250 m3 ANSWER 3: Deduction: -3% V = 17533 m3 ANSWER 4: Deduction: -3% V = 17249.76695 m3 How many moles of air are in the cylinder? n = 717 mol Correct Significant Figures Feedback: Your answer 705.4 mol was either rounded differently or used a different number of significant figures than required for this part. What volume would this air occupy at 1.0 atm and room temperature? V = m3 Try Again; 2 attempts remainingExplanation / Answer
A)
T = 298 K
P = 190 atm = 190*1.013*10^5 = 1.9247*10^7 pas
V = pi*r^2*h = 3.14*0.17^2*1 = 0.090746 m^3
P*V = n*R*T
n = P*V/(R*T)
= 1.9247*10^7*0.090746/(8.314*298)
= 705 moles
B)
P = 1.013*10^5 pa
P*V = n*R*T
V = n*R*T/P
= 705*8.314*298/(1.013*10^5)
= 17.24 m^3
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