Concept explainers
(a)
Interpretation:
The root mean square speed of samples of hydrogen and nitrogen at STP conditions has to be calculated.
Concept Introduction:
In accordance with the Kinetic molecular theory, not all of the gas particles will move at the same speed but with an average speed that is given by the expression as follows:
Here,
The relation between rms speed
Here,
(a)
Answer to Problem 6.126QE
Root mean square speed of samples of hydrogen and nitrogen at STP is
Explanation of Solution
The formula to convert degree Celsius to kelvin is as follows:
Here,
Substitute
The relation between rms speed, temperature, and molar mass is given as follows:
Here,
Substitute
Substitute
(b)
Interpretation:
The average kinetic energy of hydrogen and nitrogen at STP conditions has to be calculated.
Concept Introduction:
In accordance with the Kinetic molecular theory not all of the gas particles will move at the same speed but with an average speed that is given by the expression as follows:
Here,
(b)
Answer to Problem 6.126QE
The average kinetic energy of hydrogen and nitrogen at STP is
Explanation of Solution
The formula to calculate the mass from the number of moles and molar mass is as follows:
Substitute 1 for a given number of molecules,
Substitute 1 for given number of molecules,
The average kinetic energy in terms of rms speed is given by the expression as follows:
Substitute
Substitute
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Chapter 6 Solutions
Chemistry: Principles and Practice
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