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At what temperature (in degrees Celsius) will xenon atoms have the same average speed that Cl2...

At what temperature (in degrees Celsius) will xenon atoms have the same average speed that Cl2 molecules have at 20 ∘C?

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Answer #1

1/2Mv2 = 3/2RT


from this
v2 = 3/2RT x 2 / M
v2 = 3RT/M
since the speeds are going to be the same...
3RT1/M1 = 3RT2/M2
cancel out 3R and get ...
T1/M1 = T2/M2
solve for T2
T2 = T1M2/M1
T2 = 293K x 131.3g/mol / 70.9 g/mol
T2 = 542.6K

or 542.6 - 273

= 270 ºC

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