The following table gives the vapor pressure of hexaflu- orobenzene (C6 F6) as

step 1 Okay, so we started by, I made a graph of the LN of the vapor pressure in atmospheres versus one

The following table gives the vapor pressure of...

$$ \begin{aligned} &\begin{aligned} &\text { The following table gives the vapor pressure of hexaflu- } \\ &\text { orobenzene }\left(\mathrm{C}_{6} \mathrm{~F}_{6}\right) \text { as a function of temperature: } \end{aligned}\\ &\begin{aligned} &4 \end{aligned}\\ &\begin{array}{lc} \hline \text { Temperature (K) } & \text { Vapor Pressure (torr) } \\ \hline 280.0 & 32.42 \\ 300.0 & 9247 \\ 320.0 & 225.1 \\ 330.0 & 334.4 \\ 340.0 & 482.9 \\ \hline \end{array} \end{aligned} $$ (a) 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 $\Delta H_{\text {vap }}$ for $C_{6} F_{6}$ (b) Use these data to determine the boiling point of the compound.

$$
\begin{aligned}
&\begin{aligned}
&\text { The following table gives the vapor pressure of hexaflu- } \\
&\text { orobenzene }\left(\mathrm{C}_{6} \mathrm{~F}_{6}\right) \text { as a function of temperature: }
\end{aligned}\\
&\begin{aligned}
&4
\end{aligned}\\
&\begin{array}{lc}
\hline \text { Temperature (K) } & \text { Vapor Pressure (torr) } \\
\hline 280.0 & 32.42 \\
300.0 & 9247 \\
320.0 & 225.1 \\
330.0 & 334.4 \\
340.0 & 482.9 \\
\hline
\end{array}
\end{aligned}
$$
(a) 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 $\Delta H_{\text {vap }}$ for $C_{6} F_{6}$ (b) Use these data to determine the boiling point of the compound.

Key Concepts

Boiling Point

The boiling point of a substance is defined as the temperature at which its vapor pressure equals the surrounding atmospheric pressure. It represents the condition where the liquid can transition to the gas phase continuously. Determining the boiling point involves finding the temperature corresponding to a specific vapor pressure, such as 760 torr under standard atmospheric conditions.

Vapor Pressure

Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid (or solid) phase at a given temperature. It is a critical parameter in studying phase transitions and typically increases with temperature. Its exponential dependency on temperature is the basis for using the Clausius-Clapeyron equation in thermodynamic analyses.

Enthalpy of Vaporization

Enthalpy of vaporization is the amount of energy required to vaporize one mole of a liquid at constant pressure. It reflects the strength of intermolecular forces in the liquid state, with higher values indicating stronger attractions. In the context of the Clausius-Clapeyron equation, it can be determined from the slope of the linear plot of ln(P) versus 1/T.

Clausius-Clapeyron Equation

The Clausius-Clapeyron equation describes the relationship between the vapor pressure of a substance and its temperature. It is typically written as ln(P) = -?Hvap/R * (1/T) + constant, where P is the vapor pressure, T is the temperature in Kelvin, ?Hvap is the enthalpy of vaporization, and R is the gas constant. This relation leads to a linear plot of ln(P) versus 1/T if the enthalpy of vaporization is constant over the temperature range considered.

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