Question

A gas mixture contains each of these gases at the indicated partial pressures: $\mathrm{N}_{2}, 215$ torr; $\mathrm{O}_{2}, 102$ torr; and He, 117 torr. What is the total pressure of the mixture? What mass of each gas is present in a $1.35-\mathrm{L}$ sample of this mixture at $25.0^{\circ} \mathrm{C} ?$

Name: Problem 61, Chapter 11: Chemistry Structure and Properties
Uploaded: 2019-11-09T21:09:22-08:00
Duration: 2 min 1 s
Channel: Sisi Gao
Description: A gas mixture contains each of these gases at the indicated partial pressures: N2, 215 torr; O2, 102 torr; and He, 117 torr. What is the total pressure of the mixture? What mass of each gas is present in a 1.35-L sample of this mixture at 25.0^∘ C ?

   A gas mixture contains each of these gases at the indicated partial pressures: $\mathrm{N}_{2}, 215$ torr; $\mathrm{O}_{2}, 102$ torr; and He, 117 torr. What is the total
pressure of the mixture? What mass of each gas is present in a $1.35-\mathrm{L}$
sample of this mixture at $25.0^{\circ} \mathrm{C} ?$

Chemistry Structure and Properties

Nivaldo J. Tro 1st Edition

Chapter 11, Problem 61

Instant Answer

Solved by Expert Sisi Gao

11/09/2019

Step 1

So the total pressure is $215 \, \text{torr} + 102 \, \text{torr} + 117 \, \text{torr} = 434 \, \text{torr}$. Show more…

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A gas mixture contains each of these gases at the indicated partial pressures: $\mathrm{N}_{2}, 215$ torr; $\mathrm{O}_{2}, 102$ torr; and He, 117 torr. What is the total pressure of the mixture? What mass of each gas is present in a $1.35-\mathrm{L}$ sample of this mixture at $25.0^{\circ} \mathrm{C} ?$

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Key Concepts

Molar Mass and Mole Concept

This concept relates the mass of a substance to the number of moles through its molar mass. Once the number of moles of a gas is calculated using the Ideal Gas Law, the mass of the gas can be determined by multiplying these moles by the respective molar mass of the gas.

Dalton's Law of Partial Pressures

This principle states that in a mixture of non-reactive gases, the total pressure exerted is equal to the sum of the partial pressures of each individual gas. It allows us to calculate the overall pressure of the gas mixture by adding the individual contributions from each gas present.

Ideal Gas Law

The Ideal Gas Law, expressed as PV = nRT, relates the pressure, volume, temperature, and number of moles of a gas. It is essential for determining the number of moles of each gas when given the conditions of a container, and subsequently for further calculations such as mass determination.

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