Chapter 10, Problem 52PS

### 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

# Under which set of conditions will Cl2 deviate least from ideal gas behavior? (a) 1 atm, 0 °C (b) 0.1 atm, 100 °C (c) 10 atm, 0 °C (d) 1 atm, 100 °C

Interpretation Introduction

Interpretation: From the given set of conditions the best condition that the given Cl2 gas will deviate least from its ideal gas behavior should be determined.

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 = molesofgasP = 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.

Two equal volumes of gases with same temperature and pressure conditions tend to have same number of molecules with it.

Explanation

Reason for correct option:

Generally gases tend to deviate from its ideal gas behavior at lower temperature and at higher pressure conditions. Â Comparing the given options only option (b) has low pressure and high temperature values than all other options.

Therefore, at 0.1Â atmÂ andÂ atÂ 100oC the given gas Cl2 tend to deviate least from its ideal gas behavior

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