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Chapter 9: Q61 E (page 510)

Most mixtures of hydrogen gas with oxygen gas are explosive. However, a mixture that contains less than 3.0 % O2 is not. If enough O2 is added to a cylinder of H2 at 33.2 atm to bring the total pressure to 34.5 atm, is the mixture explosive?

Short Answer

Expert verified

It is explosive because there is more than 3.0% O2 in the combination.

Step by step solution

01

Definition of pressure 

A unit of pressure is defined as the force applied across a unit area.

02

Find contains in the mixture

Initial pressure = 33.2 atm, Total pressure = 34.5atm.

Pressure increased after adding:

\begin{aligned}{{\rm{O}}_2}=34.5\;{\rm{atm}}-33.2\;{\rm{atm}}\\=1.3\;{\rm{atm}}\end{aligned}

Partial pressure of O2= 1.3 atm

Percentage ofO2 added to increase the pressure

\[\frac{{1.3}}{{34.5}}\times 100=3.77\% \]

Therefore, because there is more than 3.0 % O2 in the mixture, it is explosive.

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Question: Answer the following questions:

(a) If \({\rm{XX}}\) behaved as an ideal gas, what would its graph of \({\rm{Z}}\) vs. \({\rm{P}}\) look like?

(b) For most of this chapter, we performed calculations treating gases as ideal. Was this justified?

(c) What is the effect of the volume of gas molecules on \({\rm{Z}}\)? Under what conditions is this effect small? When is it large? Explain using an appropriate diagram.

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