4. The heat of vaporization of a liquid may be obtained from the approximated integrated form of the Clausius-Clappeyron equation In (P2/P) T,T2 P2 AH, = -R- = R -In- 1/T, - 1/T, T2 - T,P For water, the vapor pressure is measured to be 9.2 Torr at 10.0°C (283.15K) and 55.3 Torr at 40.0°C (313.15K). Taking R to be 8.3145 JK' mol', calculate AHvap. Taking the limit of error (95% confidence) in the temperature measurement to be 0.1K and that in the pressure measurements to be 0.1 Torr, calculate the uncertainty in AHvap. A literature source gives 43,893 J/mol for AHvap at 25°C. Is the difference between this value and your value significant at the 95% confidence level?

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Chapter6: Equilibria In Single-component Systems
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4. The heat of vaporization of a liquid may be obtained from the approximated integrated form
of the Clausius-Clappeyron equation
In (P2/P,)
1/T,- 1/T,
T,T2
T2 - T, P
P2
AH, = -R-
= R
-In-
For water, the vapor pressure is measured to be 9.2 Torr at 10.0°C (283.15K) and 55.3 Torr at
40.0°C (313.15K). Taking R to be 8.3145 JK' mol', calculate AHvap. Taking the limit of error
(95% confidence) in the temperature measurement to be 0.1K and that in the pressure
measurements to be 0.1 Torr, calculate the uncertainty in AHvap. A literature source gives
43,893 J/mol for AHvap at 25°C. Is the difference between this value and your value significant
at the 95% confidence level?
Transcribed Image Text:4. The heat of vaporization of a liquid may be obtained from the approximated integrated form of the Clausius-Clappeyron equation In (P2/P,) 1/T,- 1/T, T,T2 T2 - T, P P2 AH, = -R- = R -In- For water, the vapor pressure is measured to be 9.2 Torr at 10.0°C (283.15K) and 55.3 Torr at 40.0°C (313.15K). Taking R to be 8.3145 JK' mol', calculate AHvap. Taking the limit of error (95% confidence) in the temperature measurement to be 0.1K and that in the pressure measurements to be 0.1 Torr, calculate the uncertainty in AHvap. A literature source gives 43,893 J/mol for AHvap at 25°C. Is the difference between this value and your value significant at the 95% confidence level?
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