Answered: Can the ideal gas law be expressed 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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Can the ideal gas law be expressed in terms of the mass of the gas’s molecules?

Definition Definition Any of various laws that describe the ways in which volume, temperature, pressure, and other conditions correlate when matter is in a gaseous state. At a constant temperature, the pressure of a particular amount of gas is inversely proportional with its volume (Boyle's Law) In a closed system with constant pressure, the volume of an ideal gas is in direct relation with its temperature (Charles's Law) At a constant volume, the pressure of a gas is in direct relation to its temperature (Gay-Lussac's Law) If the volume of all gases are equal and under the a similar temperature and pressure, then they contain an equal number of molecules (Avogadro's Law) The state of a particular amount of gas can be determined by its pressure, volume and temperature (Ideal Gas law)

Expert Solution

Step 1

Ideal gas law equation is

$P V = n R T$

Here, P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.

The number of moles of gas in terms of mass of gas can be written as

$n = \frac{m}{M}$

Here, m is the mass of gas and M is the molecular weight

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