Learning units: Hospitals need compressed oxygen cylinders. Suppose you are given the choice of purchasing four oxygen cylinders: the red one (P = 2.0 atm, V = 34000 cm³), the blue one (P = 24 bar, V = 1.0 L), the green one (P = 22,000 Pa, V = 24 L), and a special yellow one with 1024 oxygen molecules. If they are the same the price, which cylinder should you purchase? Show your reasoning. Assume ideal gas behavior and the gases are at room temperature (25°C).

Introduction to General, Organic and Biochemistry
11th Edition
ISBN:9781285869759
Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Chapter5: Gases, Liquids, And Solids
Section: Chapter Questions
Problem 5.107P: 5-107 If 60.0 g of NH3 occupies 35.1 L under a pressure of 77.2 in. Hg, what is the temperature of...
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a) Learning units: Hospitals need compressed oxygen cylinders. Suppose you are given the choice of purchasing
four oxygen cylinders: the red one (P = 2.0 atm, V = 34000 cm³), the blue one (P = 24 bar, V = 1.0 L), the green
one (P = 22,000 Pa, V = 24 L), and a special yellow one with 1024 oxygen molecules. If they are the same the
price, which cylinder should you purchase? Show your reasoning. Assume ideal gas behavior and the gases
are at room temperature (25°C).
Transcribed Image Text:a) Learning units: Hospitals need compressed oxygen cylinders. Suppose you are given the choice of purchasing four oxygen cylinders: the red one (P = 2.0 atm, V = 34000 cm³), the blue one (P = 24 bar, V = 1.0 L), the green one (P = 22,000 Pa, V = 24 L), and a special yellow one with 1024 oxygen molecules. If they are the same the price, which cylinder should you purchase? Show your reasoning. Assume ideal gas behavior and the gases are at room temperature (25°C).
Expert Solution
Step 1

Since all the cylinders have the same price, it is beneficial to purchase the cylinder having the highest moles(n) of oxygen gas. 

We use the ideal gas equation to find the moles(n) of Oxygen in each cylinder,

n = PVRT

Temperature T for all cylinders, T = 25 + 273.15 = 298.15 K 

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