Chapter 10, Problem 80GQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Consider the following gases: He, SO2, CO2, and Cl2. (a) Which has the largest density (assuming that all gases are at the same T and P)? (b) Which gas will effuse fastest through a porous plate?

Interpretation Introduction

Interpretation:

Given the four different molecules largest density and gas effect should be identified.

Concept Introduction:

Ideal gas Equation:

Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas.  Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained.  It is referred as ideal gas equation.

nTPV = RnTPPV = nRTwhere,n = moles of gasP = pressureT = temperatureR = gas constant

Under some conditions gases don not behave like ideal gas that is they deviate from their ideal gas properties.  At lower temperature and at high pressures the gas tends to deviate and behave like real gases.

Boyle’s Law:

At given constant temperature conditions the mass of given ideal gas in inversely proportional to its volume.

Charles’s Law:

At given constant pressure conditions the volume of ideal gas is directly proportional to the absolute temperature.

Explanation

Let us consider the pressure and temperature values are

Â Â Â Â TÂ =Â 273.15Â JKPÂ =Â 209Â mmHg

The ideal gas equation

Let us consider the CO2 molecule density

Â Â Â Â Â PV=nRTn=PVRT209â€‰mmâ€‰Hgâ€‰â†’â€‰1atmâ€‰209â€‰mmâ€‰Hg760â€‰mmâ€‰Hg=0.275732â€‰mLâ€‰=â€‰1â€‰LitSoâ€‰1â€‰litâ€‰=103â€‰ml0.732â€‰LMassMolarâ€Šâ€Šmassâ€Šâ€Šâ€Šâ€Šâ€Š=0.275Ã—0.7320.0821Ã—294.15KMassMolarâ€Šâ€Šmassâ€Šâ€Šâ€Šâ€Šâ€Š=â€‰0.275Ã—0.73224.149715â€Šâ€Šâ€Šâ€Šâ€ŠMolarâ€Šâ€ŠmassMassâ€Šâ€Š=8.34Ã—10âˆ’31Molarâ€Šâ€ŠmassMass=119.9Molarâ€Šâ€Šmassâ€‰=â€‰119.9â€‰Ã—MassGivenâ€‰massâ€‰valueâ€‰isâ€‰0.37â€‰gMolarâ€Šâ€Šmassâ€‰=â€‰119.9â€‰Ã—0

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started