Concept explainers
To show: The root mean square speed is
Explanation of Solution
Given:
Pressure is P and density is
Formula used:
The root mean square speed of the gas molecules is,
Here,
Write the expression for the ideal gas equation.
Here,
Calculation:
The rms speed for the gas molecule is,
The temperature is found from the ideal gas equation such that,
The mass of the given gas molecules,
Where, N is the total number of molecules
Now, substitute the above values in the formula, then the result is,
Conclusion:
The rms speed becomes
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