The root mean square speed of hydrogen molecules at a certain temperature is 300 m/s. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen, the r.m.s. speed will become

Question

The root mean square speed of hydrogen molecules at a certain temperature is 300 m/s. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen, the r.m.s. speed will become (A) 424.26 m/s (B) 300 m/s (C) 600 m/s (D) 150 m/s

Tardigrade Admin · Accepted Answer

v rms =√(3 R T/M) T is doubled and M is halved. Therefore, r.m.s. speed will become two times or 600 m / s.

Q. The root mean square speed of hydrogen molecules at a certain temperature is $300 m / s$ . If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen, the r.m.s. speed will become

424.26 m/s

300 m/s

600 m/s

150 m/s

$v_{r m s} = \frac{3 RT}{M}$
$T$ is doubled and $M$ is halved.
Therefore, r.m.s. speed will become two times or $600 m / s$ .

Q. The root mean square speed of hydrogen molecules at a certain temperature is 300m/s. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen, the r.m.s. speed will become