The Root-Mean-Square Speed of the Molecules of an Ideal Gas $\sqrt { 2 }$

question 161

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

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Definitions:

Graph

A visual representation of data, functions, or equations, typically plotted with an x and y axis.

Natural Logarithm

The logarithm to the base e, where e is an irrational and transcendental number approximately equal to 2.71828.

Graph

An image that demonstrates the system of interactions or affiliations among two or more entities by employing distinctive visual tools such as dots, lines, and bars.

Logarithm

The power to which a base, often 10 or e, needs to be elevated in order to generate a specific number.