Concept explainers
Interpretation:
The temperature required to have an rms-average speed of
Concept introduction:
A gas is made up of 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 different energies. Therefore, root mean square speed, most probable velocity, and mean velocity are calculated for a gas.
Answer to Problem 19.15E
The temperature required to have an rms-average speed of
Explanation of Solution
The root-mean-square speed is calculated by the formula,
Where,
•
•
•
The molecular mass of
The value of universal gas constant is
The value of
Substitute the value of universal gas constant, molecular mass and
The value of
Substitute the value of universal gas constant, molecular mass and
The value of
Substitute the value of universal gas constant, molecular mass and
The value of
Substitute the value of universal gas constant, molecular mass and
The value of
Substitute the value of universal gas constant, molecular mass and
Therefore, the temperature required to have an rms-average speed of
It is clear that the rate of increase in temperature is exponential to the rate of increase in root-mean-square speed of
The temperature required to have an rms-average speed of
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Chapter 19 Solutions
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