The Root-Mean-Square Speed of the Molecules of an Ideal Gas $v$

question 48

Multiple Choice

The root-mean-square speed of the molecules of an ideal gas is v. The gas is now slowly compressed to one-half its original volume with no change in temperature. What is the
Root-mean-square speed of the molecules now?

• A) \(v\)
• B) \(2 v\)
• C) \(v / \sqrt { 2 }\)
• D) \(v / 2\)
• E) \(4 v\)

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Definitions:

Consumer Surplus

The mismatch between the aggregate amount consumers intend and can afford to pay for a product or service and the aggregate amount they really pay.

Producer Surplus

The difference between the amount a producer is willing to accept for a good versus what they actually receive in the market.

Producer Surplus

The difference between what producers are willing to accept for a good or service versus what they actually receive, often measured by the area above the supply curve and below the market price.

Demand Curve

A graph showing the relationship between the price of a good and the quantity of that good that buyers are willing to purchase, assuming all other factors remain constant.