24.1℃ dichloromethane vapor 58.0 kPa heat 32.7 kJ/mol 66.0 kPa

24.1℃ dichloromethane vapor 58.0 kPa heat 32.7 kJ/mol 66.0 kPa

 

 

24.1℃ 디클로로메탄의 증기 압력은 58.0 kPa

이때 증발 엔탈피는 32.7 kJ/mol

증기 압력이 66.0 kPa이 될 때의 온도는?

 

 

The vapour pressure of dichloromethane at 24.1℃

is 58.0 kPa and its enthalpy of vaporization is 32.7 kJ/mol.

Estimate the temperature at which its vapour pressure is 66.0 kPa.

 

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> P1 = 58.0 kPa, T1 = 273.15 + (24.1) = 297.25 K

> P2 = 66.0 kPa, T2 = ? K

 

 

 

클라우지우스-클라페이롱 식. Clausius-Clapeyron relation

ln(P1/P2) = ΔH_vap/R (1/T2 – 1/T1)

( 참고 https://ywpop.tistory.com/3133 )

 

 

 

ln(58.0 / 66.0) = (32700 / 8.314) (1/? – 1/297.25)

 

1/? – 1/297.25 = (ln(58.0 / 66.0) / (32700 / 8.314))

 

1/? = (ln(58.0 / 66.0) / (32700 / 8.314)) + 1/297.25

 

? = 1 / [(ln(58.0 / 66.0) / (32700 / 8.314)) + 1/297.25]

= 300.18 K

 

 

 

300.18 – 273.15 = 27.03℃

 

 

 

답: 27.0℃

 

 

 

 

[참고] 기체상수 8.314의 단위가 J이므로,

증발 엔탈피의 단위도 kJ대신 J로 환산해서 사용할 것.

 

 

 

 

[ 관련 예제 https://ywpop.blogspot.com/2023/11/241-ch2cl2-400-torr-287-kjmol-500-torr.html ]

The vapour pressure of dichloromethane at 24.1℃ is 400 Torr

and its enthalpy of vaporization is 28.7 kJ/mol.

Estimate the temperature at which its vapour is 500 Torr.

 

 

 

[키워드] 클라우지우스 기준문서, 증발열 계산 기준문서, 증발 엔탈피 계산 기준문서, 증기압 계산 기준문서

 

The vapour pressure of dichloromethane at 24.1°C is 53.3 kPa and its enthalpy of vaporization is 28.7 kJ/mol. Estimate the temperature at which its vapour pressure is 70.0 kPa.