By using the Clausius-Clapeyron equation, ln P = H vap R T + C , derive the rela

Question

By using the Clausius-Clapeyron equation, lnP=HvapRT+C, derive the relationship between the vapor pressures, P1 and P2, and the absolute temperatures at which they were measured, T1and T2.

Gasoline is a mixture of hydrocarbons, a major component of which is octane, CH3CH2CH2CH2CH2CH2CH2CH3. Octane has a vapor pressure of 13.95 torr at 25C and a vapor pressure of 144.78 torr at 75C. Use these data and the equation in part (a) to calculate the heat of vaporization of octane.

Answer: 40 kj/mol

By using the equation in part (a) and the data given in part (b), calculate the normal boiling point of octane. Compare your answer to the one you obtained from Exercise 11.86.

Answer: 394 K

Calculate the vapor pressure of octane at 31 C.

Explanation / Answer

Using the Clausius-Clapeyron equation, we have:

P304 = 1.0 exp (- (40000/8.3145)(1/304 - 1/394)
    = 0.027 atm

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