제곱 평균근 속도. 230 km/h 산소 분자 평균 속도

제곱 평균근 속도. 230 km/h 산소 분자 평균 속도

 

 

Traffic on the German autobahns reaches speeds of up to 230 km/h.

At what temperature (℃) do oxygen molecules have this same average speed?

 

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(230 km/h) (1000 m / 1 km) (1 h / 3600 s)

= (230) (1000) (1 / 3600)

= 63.89 m/s

 

 

 

O2의 몰질량 = 32 g/mol = = 0.032 kg/mol

 

 

 

u_rms = (3RT/M)^(1/2)

( 참고 https://ywpop.tistory.com/45 )

 

63.89 = [(3 × 8.314 × T) / 0.032]^(1/2)

(3 × 8.314 × T) / 0.032 = 63.89^2

 

T = (63.89^2 × 0.032) / (3 × 8.314)

= 5.237 K

 

 

 

℃ = 5.237 K – 273.15 = -267.9℃

 

 

 

답: -267.9℃

 

 

 

 

[키워드] autobahns speeds 230 km/h temperature oxygen molecules average speed