root mean square speed HI 2.82 times gas

root mean square speed HI 2.82 times gas

 

 

같은 온도에서 u_rms가 HI보다 2.82배 빠른 기체는?

 

 

Identify the gas whose root-mean-square speed is 2.82 times

that of hydrogen iodide (HI) at the same temperature.

 

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HI의 몰질량 = 127.91 g/mol = 0.12791 kg/mol

 

 

 

u_rms = sqrt[3RT / M]

( 참고 https://ywpop.tistory.com/45 )

 

= [3 × 8.314 × 298 / 0.12791]^(1/2)

= 241.06 m/s

 

 

 

[참고] 같은 온도라고 해서,

임의의 온도인 25℃로 계산했음.

 

 

 

2.82배 빠르다고 했으므로,

2.82 × (241.06) = [3 × 8.314 × 298 / M]^(1/2)

 

[2.82 × (241.06)]^2 = 3 × 8.314 × 298 / M

 

M = [3 × 8.314 × 298] / [2.82 × (241.06)]^2

= 0.01608 kg/mol

= 16.08 g/mol

---> 기체는 산소 원자(O).

 

 

 

 

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