Asked by Jess
The two isotopes of uranium, 238U and 235U, can be separated by effusion of the corresponding UF6 gases. What is the ratio (in the form of a decimal) of the root-mean-square speed of 238UF to that of 235UF6 at constant temperature?
Answers
Answered by
DrBob222
u(rms) = sqrt(3RT/M)
Calculate rms for UF6(238) and do the same for UF6(235), take the ratio of 238/235.
Use 8.314 for R.
Calculate rms for UF6(238) and do the same for UF6(235), take the ratio of 238/235.
Use 8.314 for R.
Answered by
Jess
I got the square root of 238/235 is 1, and I know that R mutiplied by 3 is 24.9, but I'm stuck right there.
Answered by
Dr Russ
Do what DrBob has suggested
Write an expression for the rms for UF6(238) and do the same for UF6(235), take the ratio of (rms) 238/235.
so
rms(238)=sqrt(3RT/238)
rms(235)=sqrt(3RT/235)
ratio=rms(238)/rms(235)
=sqrt(3RT/238)/sqrt(3RT/235)
as 3RT will cancel
ratio= sqrt(1/238)/sqrt(1/235)
=sqrt(1/238)/(1/235)
=sqrt(235/238)
Write an expression for the rms for UF6(238) and do the same for UF6(235), take the ratio of (rms) 238/235.
so
rms(238)=sqrt(3RT/238)
rms(235)=sqrt(3RT/235)
ratio=rms(238)/rms(235)
=sqrt(3RT/238)/sqrt(3RT/235)
as 3RT will cancel
ratio= sqrt(1/238)/sqrt(1/235)
=sqrt(1/238)/(1/235)
=sqrt(235/238)
Answered by
Mel
from there how do we right the ratio?
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