The ideal gas law PV = nRT gives a relationshipbetween the pressure P in pascals (you can readabout the pressure unit pascals here if you'd like 2),the volume V in cubic meters, n is the number ofmoles of a substance present and R is Avogadro'snumber (you can read about moles and Avogadro'snumber here if you'd like 2 ) and T is the temperaturein Kelvins (here's some information about the Kelvinscale) 2.It's worth mentioning that the ideal gas law assumeswe can ignore things like the volume of individualmolecules and the attraction between particles. So ifwe say something like "Pretend we have an ideal gasin a box," we are quite literally pretending, becausethere is no ideal gas! But this equation is a statementabout the relationship of units to each other, and thusis useful for comparing quantities in an approximateway. In practice, chemists might measure thedeviation from the ideal gas law in order to deduceinformation about other properties.The tools we developed in this unit for comparingrelated rates can help us analyze situations involvingthe ideal gas equation. • Pretend we have some amount of an ideal gas in abox with volume that does not change, and weheat it at a rate of 5 Kelvins per minute.o Which quantities in the ideal gas law representconstants in this situation, and which arevariables?o Which of the derivatives, in the equation yougot using implicit differentiation, do you haveinformation about? Make substitutions asappropriate.o There should be one derivative remaining inthe equation. Isolate it algebraically anddescribe what information you can get fromyour new equation.o Come up with a story problem about what theother quantities in the equation are (make upyour own numbers), and solve your problem.

Volume, number of moles, universal gas constant, Avogadro number are constant quantities.…

• Pretend we have some amount of an ideal gas in a box with volume that does not change, and we heat it at a rate of 5 Kelvins per minute. o Which quantities in the ideal gas law represent constants in this situation, and which are variables? o Which of the derivatives, in the equation you got using implicit differentiation, do you have information about? Make substitutions as appropriate. o There should be one derivative remaining in the equation. Isolate it algebraically and describe what information you can get from your new equation. o Come up with a story problem about what the other quantities in the equation are (make up your own numbers), and solve your problem.

• Pretend we have some amount of an ideal gas in a box with volume that does not change, and we heat it at a rate of 5 Kelvins per minute. o Which quantities in the ideal gas law represent constants in this situation, and which are variables? o Which of the derivatives, in the equation you got using implicit differentiation, do you have information about? Make substitutions as appropriate. o There should be one derivative remaining in the equation. Isolate it algebraically and describe what information you can get from your new equation. o Come up with a story problem about what the other quantities in the equation are (make up your own numbers), and solve your problem.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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