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Calculate the rms speed of nitrogen at S...

Calculate the rms speed of nitrogen at STP (pressure `=1` atm and temperature `= 0^0 C`. The density of nitrgoen in these conditions is `1.25 kg m^(-3)`.

A

`490 ms^(-1)`

B

`570 ms^(-1)`

C

`350 ms^(-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

At STP, the pressure is `1.0 xx 10^(5) N m^(-2)`. The rms speed is
`v_(rms) = sqrt(3p/rho)`
`= sqrt((3 xx 10^(5) N m^(-2))/((1.25 kg m^(-3))`
`=490 m s^(-1)`.
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