   # Briefly describe two methods one might use to find the molar mass of a newly synthesized gas for which a molecular formula was not known. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 8, Problem 8RQ
Textbook Problem
507 views

## Briefly describe two methods one might use to find the molar mass of a newly synthesized gas for which a molecular formula was not known.

Interpretation Introduction

Interpretation: The molar mass of the gas for the unknown molecular formula has to be determined.

Concept Introduction:

One method to determine the molar mass is from its measured density.

Other method to determine the molar mass is using Graham’s law of effusion.

Graham’s law of effusion states that the relative rates of effusion of two gases at the same temperature and pressure are given by the inverse ratio of the square roots of the masses of the gas particles.

Graham’s law of effusion can be given as,

Rateofeffusionforgas1Rateofeffusionforgas2=M2M1

Where M1 and M2 are molar masses.

### Explanation of Solution

Explanation

The ideal gas law can be used to calculate the molar mass from its calculated/given density.

The relationship between the gas density and molar mass can be given as,

Considering the number of moles of gas n can be expressed as,

n=gramsofgasmolarmass=massmolarmass=mmolarmassSubstitutingintotheidealgasequationgivesP=nRTV=(m/molarmass)RTV=m(RT)V(molarmass)m/Visthegasdensitydinunitsofgramsperlitre

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