The ideal gas law can be recast in terms of the density of a gas. (a) Use dimensional analysis to find an expression for the density r of a gas in terms of the number of moles n, the volume V, and the molecular weight M in kilograms per mole. (b) With the expression found in part (a), show thatfor an ideal gas. (c) Find the density of the carbon dioxide atmosphere at the surface of Venus, where the pressure is 90.0 atm and the temperature is 7.00 x 102 K. (d) Would an evacuated steel shell of radius 1.00 m and mass 2.00 x 102 kg rise or fall in such an atmosphere? Why?

a) The expression for the density is, The dimension of each physical quantity will be,

Answered: The ideal gas law can be recast in…

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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The ideal gas law can be recast in terms of the density of a gas. (a) Use dimensional analysis to find an expression for the density r of a gas in terms of the number of moles n, the volume V, and the molecular weight M in kilograms per mole. (b) With the expression found in part (a), show that

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for an ideal gas. (c) Find the density of the carbon dioxide atmosphere at the surface of Venus, where the pressure is 90.0 atm and the temperature is 7.00 x 10² K. (d) Would an evacuated steel shell of radius 1.00 m and mass 2.00 x 10² kg rise or fall in such an atmosphere? Why?

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