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A gaseous mixture contains 420.0 Torr H, (g), 361.7 Torr N, (g), and 82.1 Torr Ar(g). Calculate the mole fraction, x, of each of these gases.

A gaseous mixture contains 420.0 Torr H, (g), 361.7 Torr N, (g), and 82.1 Torr Ar(g). Calculate the mole fraction, x, of each of these gases.

Chemistry
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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Question 12

**General Chemistry 4th Edition** *McQuarrie • Rock • Gallogly* **University Science Books presented by Macmillan Learning** --- A gaseous mixture contains 420.0 Torr H₂(g), 361.7 Torr N₂(g), and 82.1 Torr Ar(g). Calculate the mole fraction, χ, of each of these gases. \[ χ_{H_2} = \] \[ \] \[ χ_{N_2} = \] \[ \] \[ χ_{Ar} = \] \[ \] --- *Question Source: McQuarrie, Rock, And Gallogly 4e - General Chemistry* *Publisher: University Science Books*
Transcribed Image Text:**General Chemistry 4th Edition** *McQuarrie • Rock • Gallogly* **University Science Books presented by Macmillan Learning** --- A gaseous mixture contains 420.0 Torr H₂(g), 361.7 Torr N₂(g), and 82.1 Torr Ar(g). Calculate the mole fraction, χ, of each of these gases. \[ χ_{H_2} = \] \[ \] \[ χ_{N_2} = \] \[ \] \[ χ_{Ar} = \] \[ \] --- *Question Source: McQuarrie, Rock, And Gallogly 4e - General Chemistry* *Publisher: University Science Books*
Expert Solution
Step 1

In the given question we have to calculate the mole fraction ' X ' of each gases.

Given data : 

partial pressure of each gases are 

Hydrogen gas,  H2(g) = 420.0 torr 

Nitrogen gas, N2(g) = 361.7 torr 

Argon gas, Ar(g) = 82.1 torr 

Now, we have to use the Dalton law of partial pressure which states that the total pressure exerted by the mixture of different gases is the sum of partial pressure of each gases present in the system.

by using the Relation, 

partial pressure (P) = mole fraction of gas(X) × total pressure (Pt) 

i.e  P = X × Pt 

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