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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).

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).

Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter5: Gases
Section: Chapter Questions
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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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