
(a)
Interpretation: The heat of vaporization of the given benzaldehyde. The vapor pressure of the given benzaldehyde at room temperature is to be calculated.
Concept introduction: Vapor pressure is defined as the pressure applied by the molecule in the vapor state is in equilibrium with the solid or liquid state of the same molecule in a closed space.
The factors affect the vapor pressure of a liquid are temperature, surface area and type of a liquid.
If the molecule in the liquid state is more volatile means it will be evaporates easily so it vapors pressure is higher than the other molecule in the liquid state.
To determine: The heat of vaporization of benzaldehyde using the given table.
(a)

Answer to Problem 10.70QP
Solution
The heat of vaporization of benzaldehyde is 48.9 kJ/mol_.
Explanation of Solution
Explanation
Given
The value of R is 8.314 J/mol.K.
The given structure is below.
Figure 1
In the above Figure, the structure of benzaldehyde is depicted.
The benzaldehyde is responsible for the aroma of cherries which is depicted in the figure.
The clausius-clapeyron equation states the relation between vapor pressure and the absolute temperature.
The clausius-clapeyron equation is,
ln(Pvap,T1Pvap,T2)=ΔHvapR(1T2−1T1) (1)
Where,
- Pvap,T1 is vapor pressure at temperature T1.
- Pvap,T2 is vapor pressure at temperature T2.
- ΔHvap is heat of vaporization.
- R is universal gas constant.
- T1 is the first absolute temperature.
- T2 is the second absolute temperature.
The table of different values of vapor pressure at different temperature of benzaldehyde is given below.
Vapor pressure(torr)Temperature(K)50373111393230413442433805453
Table 1
The heat of vaporization of benzaldehyde is calculated by the above equation (1).
Substitute the any two values of vapor pressure at the corresponding temperature from the table in the equation (1).
ln(805torr442 torr)=ΔHvap8.314 J/mol.K(1433 K−1453 K)ln(1.8213)=ΔHvap8.314 J/mol.K(20196149)KΔHvap=0.60×8.314 J/mol×19614920ΔHvap=48.9 kJ/mol_
Therefore, the heat of vaporization of benzaldehyde is 48.9 kJ/mol_.
(b)
To determine: The vapor pressure of the given benzaldehyde at room temperature.
(b)

Answer to Problem 10.70QP
Solution
The vapor pressure of the given benzaldehyde at room temperature (23 °C) is 0.826 torr_.
Explanation of Solution
Explanation
Given
The value of R is 8.314 J/mol.K.
The room temperature is 23 °C.
The vapor pressure of benzaldehyde at room temperature (23 °C) is calculated by equation (1) given in part (a).
The heat of vaporization of benzaldehyde is 48.9 kJ/mol as calculated above in part (a).
The room temperature in Kelvin is 296 K.
Substitute the given value of R, room temperature and any value of vapor pressure at the corresponding temperature from the above table given in part (a) in the equation (1).
ln(50 torrPvap,T2)=48.9×103 J/mol8.314 J/mol.K(1296 K−1373 K)ln(50 torrPvap,T2)=5884.41.83×(77110408)50 torrPvap,T2=e−0.826Pvap,T2=0.826 torr_
Therefore, the vapor pressure of the given benzaldehyde at room temperature (23 °C) is 0.826 torr_.
Conclusion
- a) The heat of vaporization of benzaldehyde is 48.9 kJ/mol_.
- b) The vapor pressure of the given benzaldehyde at room temperature (23 °C) is 0.826 torr_.
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Chapter 10 Solutions
Chemistry: The Science in Context (Fifth Edition)
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