Solve Clausius Clapeyron Eqn for Vapor Pressure @95C

AI Thread Summary
The discussion focuses on solving the Clausius-Clapeyron equation to determine the vapor pressure of diethyl ether at 95°C, given its enthalpy of vaporization and vapor pressure at 25°C. The user correctly converted temperatures to Kelvin and enthalpy to joules, then applied the equation P2/P1 = exp(ΔHvap/R (1/T2 - 1/T1)). After rearranging the equation, they calculated P2 to be approximately 2.19 atm using the initial vapor pressure of 0.703 atm. The user expresses confidence in their calculations but notes that they have not yet verified the final result.
devon10
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It has been years scene I have taken a math class and I need help to see if I am setting the equation up correctly and if I have solved the problem correctly.

Diethyl ether has ∆Hvap of 29.1kJ/mol and a vapor pressure of 0.703 atm at 25.0 C. What is its vapor pressure at 95.0 C?

I converted the temp to K and kJ to J

In P2/P1=delta H vaporization/R (1/T2- 1/T1)

rearranged to

P2/P1= antilog (delta H vap/R (1/T2- 1/T1))

Then muliply by P1
P2= P1 antilog (delta H vap/R (1/T2- 1/T1))

antilog is also exp so...

P2= P1 exp(delta H vap/R (1/T2- 1/T1))

P2= .703 atm exp (29100/8.3145 (1/368-1/298)

P2= 2.19 atm
 
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Looks OK. I have not checked the final result.

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