Part 2: Calculating Root Mean Square Velocity - Edubirdie

University:
University of Arkansas
Course:
CHEM 1203 | Chemistry for Majors I
Academic year:

2019
Views:

104

Pages:

1
Author:

BobN

In this example, we calculate the root mean square velocity of bromine gas molecules. Our problem reads, "Calculate the root mean square velocity in meters per second of bromine gas particles at 105 degrees Celsius." Our equation for the root mean square velocity is the square root of three times the ideal gas law constant times the absolute temperature divided by the molar mass. In this equation, we need to use 8.314 joules per mole Kelvin for the ideal gas law constant so that our units correctly cancel. We also need to convert 105 degrees Celsius to Kelvin by adding 273. And we need our molar mass to be in units of kilograms per mole since 1 joule equals 1 kilogram meter squared per second squared. We also need to be careful to use Br2 for bromine gas since bromine is one of our 7 elements that are diatomic in their naturally occurring state. Completing the calculation, we get 243 meters per second.

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