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The r.m.s velocity of CO2 at a temperatu...

The r.m.s velocity of `CO_2` at a temperature T in Kelvin) is `x cm " sec"^(-1)` . At what temperature (in Kelvin), the r.m.s. velocity of nitrous oxide would be 4x cm `"sec"^(-1)`?

A

16T

B

2T

C

4T

D

32T

Text Solution

Verified by Experts

The correct Answer is:
A
`(u_(rms)(CO_2))/(u_(rms)(N_2O))= sqrt((T_(CO_2) xx M_(N_2O))/(M_(CO_2) xx T_(N_2O)))`
`implies (x)/(4x) = sqrt((T_(CO_2))/(44) xx (44)/(T_(N_2O)))implies T_(N_2O) = 16 T_(CO_2)`
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