5.112 Principles Of Chemical Science Worksheet With Answers - Problem Set #4 Solutions - 2011 Page 11
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16Problem set #4 solutions for 5.112, Fall 2011
Page 11 of 16
Question 14 out of 6 points)
(a) The following graph shows the range of molecular speeds for three gases, He, Ne and Ar,
as given by the Maxwell distribution. Each of the curves (1, 2 and 3) correspond to 325 K.
Match the curves with the gases, and provide a brief explanation.
Curve 1, 2 and 3 correspond to Ar, Ne and He, respectively, because according to the Maxwell
distribution of speeds, the greater the molar mass, the lower the average speed and the
narrower the spread of speeds.
(b) The following graph shows the range of molecular speeds for Gas 3 in the above question,
at 225 K, 325 K and 425 K as given by the Maxwell distribution. Match the curves with the
temperatures, and provide a brief explanation.
Curve 4, 5 and 6 correspond to 225 K, 325 K and 425 K, respectively, because according to
the Maxwell distribution of speeds, the higher the temperature, the higher the average
speed and the broader the spread of speeds.
Question 15 (out of 3 points)
The number of molecules in a gas sample that have the most probably speed (v
) at a
mp
temperature T is one-quarter the number of the same type of molecules that have the most
probably speed at 355 K. What is the temperature?
Using the Maxwell distribution of speeds…
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