The relative values of ν rms , ν most prob , and ν ¯ are to be compared. Whether ν rms , ν most prob , and ν ¯ always would have the same relative values, or can variations in conditions like temperature or molar mass changes their relative magnitudes is to be stated. Concept introduction: A gas is made up of many atoms or molecules that move with very high speeds. The kinetic energy of gases is very high. Every molecule or atom present in a gas can have a different velocity. Therefore, root mean square speed, most probable velocity, and mean velocity are calculated for a gas.

Question

The average kinetic energy of the molecules in a gas sample depends only on the temperature, ?. However, given the same kinetic energies, a lighter molecule will move faster than a heavier molecule, as shown in the equation for rms speed rms speed=3??ℳ‾‾‾‾‾√ where ?=8.314 J/(mol⋅K) and ℳ is molar mass in kilograms per mole. Note that a joule is the same as a kilogram‑meter squared per second squared (kg·m2/s2). What is the rms speed of N2 molecules at 345 K? The average kinetic energy of the molecules in a gas sample depends only on the temperature, ?. However, given the same kinetic energies, a lighter molecule will move faster than a heavier molecule, as shown in the equation for rms speed rms speed=3??ℳ‾‾‾‾‾√ where ?=8.314 J/(mol⋅K) and ℳ is molar mass in kilograms per mole. Note that a joule is the same as a kilogram‑meter squared per second squared (kg·m2/s2). What is the rms speed of N2 molecules at 345 K?

Answer 1

Question

Chapter 19, Problem 19.30E

Interpretation Introduction

Interpretation:

The relative values of νrms, νmost prob, and ν¯ are to be compared. Whether νrms, νmost prob, and ν¯ always would have the same relative values, or can variations in conditions like temperature or molar mass changes their relative magnitudes is to be stated.

Concept introduction:

A gas is made up of many atoms or molecules that move with very high speeds. The kinetic energy of gases is very high. Every molecule or atom present in a gas can have a different velocity. Therefore, root mean square speed, most probable velocity, and mean velocity are calculated for a gas.

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