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Home Q & A Board Science-Related Homework Help Chemistry (Moderator: Laser_3)
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PeeJay1 PeeJay1
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9 years ago
how do I calculate and compare the most probable speeds of CO and Cl2?
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#1
Educator
9 years ago
Most Probable Speed = SQRT (2RT/M)
OR Most Probable Speed = 0.82 x RMS Speed
Therefore, Most Probable Speed of CO = 0.82 x 5.169 x 10^2 = 4.238 x 10^2 m/s
And Most Probable Speed of Cl2 = 0.82 x 3.246 x 10^2 = 2.66 x 10^2 m/s
wrote...
#2
9 years ago
the kinetic energy of the molecule is equal to E=1/2*m*<v^2> (<v> is average velocity)
E is also equal to 3/2kT

so 3/2kT=1/2*m*v^2 or 3kT = m<v^2 >
you multiply both sides of equation by Avogadro's number so k*N=R and mN=M

v^2=3RT/M (use MKSA units M in kg , R= 8.314J/K)
for CO M=12+16=28g =0.028 kg
v^2= 3*8.314*300/0.028= 267238m^2/s^2 or
I take square root <v>=517m/s
For Cl2 mass =70.9g
<v> = (3*8.314*300/0.0709) ^0.5=324.9m/s
PeeJay1 Author
wrote...
#3
9 years ago
Thank-you!
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