A Cubic Box with Sides of 20

question 4

Multiple Choice

A cubic box with sides of 20.0 cm contains 2.00 × 10²³ molecules of helium with a root-mean-square speed (thermal speed) of 200 m/s.The mass of a helium molecule is 3.40 × 10^-27 kg.What is the average pressure exerted by the molecules on the walls of the container? The Boltzmann constant is 1.38 × 10^-23 J/K and the ideal gas constant is
R = 8.314 J/mol ∙ K = 0.0821 L ∙ atm/mol ∙ K.

• A)3.39 kPa
• B)1.13 kPa
• C)570 Pa
• D)2.26 kPa
• E)9.10 Pa

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Definitions:

Equilibrium Price

The market price at which the quantity of a good or service demanded equals the quantity supplied, balancing out buying and selling pressures.

Producer Surplus

Producer surplus is the difference between what producers are willing to accept for a good or service versus what they actually receive, reflecting gains from trade.

Consumer Surplus

The gap between the aggregate sum consumers are ready and can afford to pay for a good or service and the aggregate sum they actually spend.

Uses of Markets

The functions markets serve in allowing buyers and sellers to exchange goods, services, and information, facilitating the allocation of resources.