N2 rms 500 m/s H2 rms

N2 rms 500 m/s H2 rms

 

 

If the rms speed of the N2 molecules of the gas

at room temperature is 500 m/s,

then the rms speed of the H2 molecules at the same temperature will be -

 

 

 

u_rms = root(3RT/M)

( 참고 https://ywpop.tistory.com/45 )

 

---> H2의 rms 속도는 N2보다 빠르다.

 

 

 

N2의 rms 속도

500 m/s = [3RT / (28/1000)]^(1/2) ...(1)

 

 

 

H2의 rms 속도

x = [3RT / (2/1000)]^(1/2) ... (2)

 

 

 

(1)식 / (2)식

 

500 / x = [3RT / (28/1000)]^(1/2) / [3RT / (2/1000)]^(1/2)

 

500 / x = [(2/1000) / (28/1000)]^(1/2)

 

x = 500 / [(2/1000) / (28/1000)]^(1/2)

= 1870.8

 

 

 

답: 1871 cm/s