Calculate the rms speed of an oxygen gas molecule, O2, at 21.0 °C. Express your answer numerically in meters per second. • View Available Hint(s)
Calculate the rms speed of an oxygen gas molecule, O2, at 21.0 °C. Express your answer numerically in meters per second. • View Available Hint(s)
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![Learning Goal:
To calculate the rms speed and relative rates of effusion of gas
molecules.
Part A
In a given sample of gas, the particles move at varying speeds. The
root mean square speed (rms speed) of particles in a gas sample, u,
is given by the formula
Calculate the rms speed of an oxygen gas molecule, O2, at 21.0 °C.
Express your answer numerically in meters per second.
3RT
V M
where T is the Kelvin temperature, M is the molar mass in kg/mol,
and R= 8.314 J/(mol - K) is the gas constant. Effusion is the
gas molecules through a tiny hole into a vacuum. The rate
of effusion of a gas is directly related to the rms speed of the gas
molecules, so it's inversely proportional to the square root of its mass.
The rms speed is related to kinetic energy, rather than average speed,
and is the speed of a molecule possessing a kinetic energy identical to
the average kinetic energy of the sample. Given its relationship to the
mass of the molecule, you can conclude that the lighter the molecules
of the gas, the more rapidly it effuses. Mathematically, this can be
• View Available Hint(s)
?
escape of
m/s
Submit
Previous Answers
expressed as
effusion rate ox -
X Incorrect; Try Again; 5 attempts remaining
The relative rate of effusion can be expressed in terms of molecular
masses ma and mp as](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98fc343b-cb52-4584-9892-0f7651919137%2F66e4f532-b79d-4712-ac0a-4efae831ae65%2Ftnjjz48_processed.png&w=3840&q=75)
Transcribed Image Text:Learning Goal:
To calculate the rms speed and relative rates of effusion of gas
molecules.
Part A
In a given sample of gas, the particles move at varying speeds. The
root mean square speed (rms speed) of particles in a gas sample, u,
is given by the formula
Calculate the rms speed of an oxygen gas molecule, O2, at 21.0 °C.
Express your answer numerically in meters per second.
3RT
V M
where T is the Kelvin temperature, M is the molar mass in kg/mol,
and R= 8.314 J/(mol - K) is the gas constant. Effusion is the
gas molecules through a tiny hole into a vacuum. The rate
of effusion of a gas is directly related to the rms speed of the gas
molecules, so it's inversely proportional to the square root of its mass.
The rms speed is related to kinetic energy, rather than average speed,
and is the speed of a molecule possessing a kinetic energy identical to
the average kinetic energy of the sample. Given its relationship to the
mass of the molecule, you can conclude that the lighter the molecules
of the gas, the more rapidly it effuses. Mathematically, this can be
• View Available Hint(s)
?
escape of
m/s
Submit
Previous Answers
expressed as
effusion rate ox -
X Incorrect; Try Again; 5 attempts remaining
The relative rate of effusion can be expressed in terms of molecular
masses ma and mp as
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