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Solved: The graph below shows the distribution of
Chapter 6, Problem 59P(choose chapter or problem)
The graph below shows the distribution of molecular speeds for a gas at two different temperatures.
(a) Does curve 1 or 2 better represent the behavior of the gas at
the lower temperature?
(b) Which curve represents the gas when it has a higher \(\overline{E_{k}}\)?
(c) Which curve is consistent with a higher diffusion rate?
Equation Transcription:
Text Transcription:
Overline E_k
Questions & Answers
QUESTION:
The graph below shows the distribution of molecular speeds for a gas at two different temperatures.
(a) Does curve 1 or 2 better represent the behavior of the gas at
the lower temperature?
(b) Which curve represents the gas when it has a higher \(\overline{E_{k}}\)?
(c) Which curve is consistent with a higher diffusion rate?
Equation Transcription:
Text Transcription:
Overline E_k
ANSWER:Solution 59 P:
Here, we are going to explain the behaviour of the distribution of molecular speeds for a gas at two different temperatures.
Step 1:
We know that, the kinetic energy of an object is related with temperature. It is given as follows
Where R is the gas constant, T is the temperature and is the Avogadro’s number
Thus,
Similarly,
The root mean square speed (rms) is directly proportional to the temperature.
where R is the gas constant, T is the absolute temperature, and M is the molar
Mass.