What Is the Mean Free Path for the Molecules in an Ideal

question 27

Multiple Choice

What is the mean free path for the molecules in an ideal gas when the pressure is 100 kPa and the temperature is 300 K given that the collision cross-section for the molecules of that gas is 2.0 × 10^-20 m²? The Boltzmann constant is 1.38 × 10^-23 J/K,Avogadro's number is 6.02 × 10²³ molecules/mole,and the ideal gas constant is R = 8.314 J/mol ∙ K =
0.0821 L ∙ atm/mol ∙ K.

• A)1.1 × 10^-6 m
• B)2.1 × 10^-6 m
• C)1.7 × 10^-6 m
• D)5.3 × 10^-6 m
• E)1.5 × 10^-6 m

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Definitions:

Marginal Utilities

The gain in utility or enjoyment a consumer realizes from the consumption of one extra unit of a good or service.

Extra Total Utility

The additional satisfaction or benefit that a consumer derives from consuming one more unit of a good or service.

Current Consumption

The amount of goods, services, energy, or natural resources being used by consumers or industries at the present time.

Marginal Utility

The additional satisfaction or benefit obtained from consuming one more unit of a good or service.