Question

Your professor asks you to order a tank of argon gas for a lab ex= periment. You obtain a "type $C^{\prime \prime}$ gas cylinder with interior volume $6.88$ L. The supplier claims it contains 45 mol of argon. You measure its pressure to be $14 \mathrm{MPa}$ at room temperature $\left(20^{\circ} \mathrm{C}\right)$. Did you get what you paid for?

Name: Problem 14, Chapter 17: Essential University Physics Global Edition
Uploaded: 2022-03-04T00:31:50-08:00
Duration: 3 min 9 s
Channel: Morgan Cheatham
Description: Your professor asks you to order a tank of argon gas for a lab ex= periment. You obtain a "type C^'' gas cylinder with interior volume 6.88 L. The supplier claims it contains 45 mol of argon. You measure its pressure to be 14 MPa at room temperature (20^∘ C). Did you get what you paid for?

    Your professor asks you to order a tank of argon gas for a lab ex= periment. You obtain a "type $C^{\prime \prime}$ gas cylinder with interior volume $6.88$ L. The supplier claims it contains 45 mol of argon. You measure its pressure to be $14 \mathrm{MPa}$ at room temperature $\left(20^{\circ} \mathrm{C}\right)$. Did you get what you paid for?

Essential University Physics Global Edition

Richard Wolfson 4th Edition

Chapter 17, Problem 14

Instant Answer

Solved by Expert Morgan Cheatham

03/04/2022

Step 1

The volume of the gas cylinder is given in liters, but we need it in cubic meters. We know that 1 liter is equal to $10^{-3}$ cubic meters. So, the volume in cubic meters is $6.88 \times 10^{-3}$ m$^3$. The pressure is given in MPa, but we need it in Pa. We know Show more…

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Your professor asks you to order a tank of argon gas for a lab ex= periment. You obtain a "type $C^{\prime \prime}$ gas cylinder with interior volume $6.88$ L. The supplier claims it contains 45 mol of argon. You measure its pressure to be $14 \mathrm{MPa}$ at room temperature $\left(20^{\circ} \mathrm{C}\right)$. Did you get what you paid for?

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Key Concepts

Ideal Gas Law

This law relates the pressure, volume, temperature, and number of moles of a gas (PV = nRT) and is essential for determining the amount of gas present under specified conditions. It provides a framework for calculating one of these variables when the others are known, thus serving as the basic tool for analyzing gas behavior.

Unit Conversions

Accurate calculations in gas problems require proper unit conversions, especially for pressure (e.g., converting MPa to the appropriate unit), volume, and temperature (ensuring temperature is in Kelvin). This ensures consistency in applying the ideal gas law and obtaining correct results.

Gas Quantification from Container Conditions

Using the measured conditions in a gas container to compute the number of moles involves applying the ideal gas law. This concept is crucial in validating supplier claims about the amount of gas in a container by comparing theoretical calculations with stated values.

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