A helium balloon takes up 4.35 liters of space. Your friend is showing off his new chemistry skills and shows you his dimensional analysis to solve for the number of moles in this balloon. He found there would be 0.91 moles in the bottle. You know, of course, that this value makes no sense. Describe how you would teach him to determine if his dimensional analysis answers "make sense" using this situation as an example.

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Step 2: Identify the dimensions of the quantities involved

The second step is to identify the dimensions of the quantities involved in the problem. For example, if the problem involves distance, time, and velocity, the dimensions of these quantities would be length, time, and length/time, respectively.


Step 3: Check if the units cancel out

The third step is to check if the units cancel out. To do this, multiply the quantities together and check if the units cancel out, leaving only the desired unit. For example, if you are trying to find the velocity of an object and you know its distance and time, you can multiply distance by time to get velocity. If the units cancel out, you have a physically meaningful result.

Step 4: Check if the result makes sense, to do this compare the units of the result with what you would expect based on the Robles statement.
 
Using the step hints above, answer the question. You do not have to solve. Just imagine that you're teaching a friend how to determine if his dimensional analysis answer makes sense.
A helium balloon takes up 4.35 liters of space.
Your friend is showing off his new chemistry skills and shows you his dimensional
analysis to solve for the number of moles in this balloon.
He found there would be 0.91 moles in the bottle.
You know, of course, that this value makes no sense.
Describe how you would teach him to determine if his dimensional analysis answers
"make sense" using this situation as an example.
Transcribed Image Text:A helium balloon takes up 4.35 liters of space. Your friend is showing off his new chemistry skills and shows you his dimensional analysis to solve for the number of moles in this balloon. He found there would be 0.91 moles in the bottle. You know, of course, that this value makes no sense. Describe how you would teach him to determine if his dimensional analysis answers "make sense" using this situation as an example.
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