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At what temperature will oxygen molecule...

At what temperature will oxygen molecules have the same root mean square speed as hydrogen molecules at 300 K ?

A

4800 K

B

3600 K

C

2400 K

D

300 K.

Text Solution

Verified by Experts

The correct Answer is:
A

Since root mean square velocity of oxygen =rms value of hydrogen
`therefore sqrt((3RT_(0))/(M_(0)))=sqrt((3RT_(H))/(M_(H)))`
`rArr T_(0) =T_(H) cdot (M_(0))/(M_(H))=300xx(32)/(2)=4800 k`
Thus, correct choice is (a).
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