Chemistry Practice Problems Clausius-Clapeyron Equation Practice Problems Solution: The following table gives the vapor pressure of he...

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Solution: The following table gives the vapor pressure of hexafluorobenzene (C6 F6 ) as a function of temperature: Temperature (K ) Vapor Pressure (torr)280.032.42300.092.47320.0225.1330.0334.4340.0482.9By plotting these data in a suitable fashion, determine whether the Clausius-Clapeyron equation is obeyed. If it is obeyed, use your plot to determine Hvap for C6 F6.

Problem
The following table gives the vapor pressure of hexafluorobenzene (C6 F6 ) as a function of temperature:


 Temperature (K ) Vapor Pressure (torr)
280.032.42
300.092.47
320.0225.1
330.0334.4
340.0482.9


By plotting these data in a suitable fashion, determine whether the Clausius-Clapeyron equation is obeyed. If it is obeyed, use your plot to determine Hvap for C6 F6.

Solution

We are asked to determine the Hvap for C6F6

We’re given a table of the vapor pressure at five different temperatures. 


 Temperature (K )

 Vapor Pressure (torr)

280.0

32.42

300.0

92.47

320.0

225.1

330.0

334.4

340.0

482.9



For this problem, we can use the Clausius-Clapeyron Equation:


lnP2P1 = -HvapR1T2-1T1

 

where:

P1 = vapor pressure at T1

P2 = vapor pressure at T2

ΔHvap = heat of vaporization (in J/mol)

R = gas constant (8.314 J/mol•K)

T1 and T2 = temperature (in K).


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