A 20 L balloon is filled with a mixture of helium and nitrogen Assuming that

A 20 l balloon is filled with a mixture of helium and

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11. A 2.0 L balloon is filled with a mixture of helium and nitrogen. Assuming that this occurs at 250C and atmospheric pressure (1.00 atm), answer the following questions. a)The pressure within the balloon is 1.00 atm (the same as the atmospheric pressure). Explain how you know this is true. /4 b)How many total moles of gas were used to fill the balloon? c)If the partial pressure of He in the balloon is 0.8 atm, what is the partial pressure of N2in the balloon? What is the mole fraction of N2in the balloon? d)What is the density of He in this balloon? b) Which of these two gasses would you expect to effuse out of the balloon faster and why?
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CHEM 111 Exam 2 Fall 2016 /4 Constants and equations: Speed of light: c = 2.997x108ms-1Plank’s constant: h=6.626x10-34Jβˆ™s 1 J = 1 kgβˆ™m2βˆ™s-2charge of an e-: e = 1.602x10-19C mass of e-: me=9.11x10-31kg mass of p+: mp=1.67x10-27kg 𝐸𝐸=β„Ž βˆ™ 𝜈𝜈Avogadro’s constant: NA= 6.022x1023mol-1DeBroglie Relation: πœ†πœ†=β„Žπ‘šπ‘šβˆ™v=β„Žπ‘π‘πΈπΈ=βˆ’2.18 Γ— 10βˆ’18𝐽𝐽 βˆ™ �𝑍𝑍2𝑛𝑛2οΏ½βˆ†πΈπΈ=βˆ’2.18 Γ— 10βˆ’18𝐽𝐽 βˆ™ �𝑍𝑍2𝑛𝑛𝑓𝑓2βˆ’π‘π‘2𝑛𝑛𝑖𝑖2οΏ½c = Ξ»βˆ™ Ξ½PV=nRT π‘’π‘’π‘Ÿπ‘Ÿπ‘šπ‘šπ‘Ÿπ‘Ÿ=οΏ½3π‘…π‘…π‘…π‘…π‘€π‘€πΈπΈπΈπΈπΈπΈπΈπΈπ‘Ÿπ‘ŸπΈπΈπΈπΈπ‘›π‘›π‘…π‘…π‘…π‘…π‘…π‘…π‘…π‘…πΊπΊπ‘…π‘…π‘Ÿπ‘Ÿ1πΈπΈπΈπΈπΈπΈπΈπΈπ‘Ÿπ‘ŸπΈπΈπΈπΈπ‘›π‘›π‘…π‘…π‘…π‘…π‘…π‘…π‘…π‘…πΊπΊπ‘…π‘…π‘Ÿπ‘Ÿ2= �𝑀𝑀2�𝑀𝑀1�𝑃𝑃+𝐢𝐢 �𝑛𝑛𝑉𝑉�2οΏ½(𝑉𝑉 βˆ’ 𝑖𝑖𝑛𝑛) =𝑖𝑖𝑛𝑛𝑇𝑇𝑛𝑛= 0.08206πΏπΏβˆ™π‘…π‘…π‘…π‘…π‘šπ‘šπ‘šπ‘šπΈπΈπ‘šπ‘šβˆ™πΎπΎ= 8.31451π½π½π‘šπ‘šπΈπΈπ‘šπ‘šβˆ™πΎπΎπΎπΎπΈπΈ=12π‘šπ‘šv2=32𝑛𝑛𝑇𝑇ΔE= q+ww=-PΞ”Vq=mcΞ”TπΈπΈπ‘…π‘…π‘šπ‘šβˆπ‘„π‘„1𝑄𝑄2𝑑𝑑
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