Calculating Vapor Pressure Above Ethanol at 35°C

In summary, vapor pressure is the pressure exerted by a vapor in equilibrium with its condensed phase at a given temperature in a closed system. It can be calculated using the Antoine equation, which takes into account the boiling point, a constant, and the temperature. Factors that affect vapor pressure include temperature, intermolecular forces, and surface area. The calculation of vapor pressure at a specific temperature, such as ethanol at 35°C, is important for understanding the physical properties and behavior of a substance. It also has various applications in industries such as pharmaceuticals, automotive, and chemical, as well as in environmental studies and weather predictions.
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Homework Statement



Calculate the vapor pressure above liquid ethanol at 35 degrees C. The density of liquid ethanol at this temperature is 0.7767 kg/dm^3 and the true vapor pressure is 100 torr.


Homework Equations



K=P'/P , P'=vapor pressure, P=total pressure
Antoine Equation: log P= A-B/(C+T)
Raoult's Law: P*=xP, P*=partial pressure, P=Total Pressure

The Attempt at a Solution


?? What is the difference between true vapor pressure and vapor pressure??
 
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I thought that vapor pressure was the true vapor pressure. I don't understand what the difference between the two is
 
  • #3


The true vapor pressure is the actual pressure exerted by the vapor molecules above the liquid ethanol at a given temperature. It is also known as the equilibrium vapor pressure, as it is the pressure at which the rate of evaporation is equal to the rate of condensation. On the other hand, vapor pressure is a general term that refers to the pressure exerted by the vapor molecules of any substance at a given temperature, regardless of whether it is in equilibrium or not.

To calculate the vapor pressure above liquid ethanol at 35°C, we can use the Antoine equation or Raoult's law.

Using the Antoine equation, we can rearrange the equation to solve for the vapor pressure (P'). Plugging in the given temperature of 35°C and the known constants for ethanol (A=8.20417, B=1642.89, C=230.3), we can solve for P' which is the true vapor pressure.

Alternatively, we can use Raoult's law which states that the partial pressure of a component in a solution is equal to the mole fraction of that component multiplied by the total pressure. In this case, the component is ethanol and the total pressure is given as 100 torr. We can use the density of liquid ethanol to calculate the mole fraction (x) and then use Raoult's law to solve for the vapor pressure (P*).

It is important to note that these calculations assume ideal conditions and may not be accurate for real-world situations. Additionally, the true vapor pressure of ethanol at 35°C may vary depending on factors such as impurities in the liquid and atmospheric pressure.
 

What is vapor pressure?

Vapor pressure is the pressure exerted by a vapor in equilibrium with its condensed phase (liquid or solid) at a given temperature in a closed system. It is a measure of how easily a substance can transition from liquid to gas at a specific temperature.

How is vapor pressure calculated?

Vapor pressure can be calculated using the Antoine equation, which relates vapor pressure to temperature. The equation takes into account the boiling point, a constant, and the temperature to determine the vapor pressure at a given temperature. In the case of ethanol at 35°C, the vapor pressure can be calculated using the Antoine equation with the appropriate constants for ethanol.

What factors affect vapor pressure?

The vapor pressure of a substance is affected by temperature, intermolecular forces, and the surface area of the substance. As temperature increases, so does the vapor pressure. Stronger intermolecular forces result in a lower vapor pressure, as the molecules are more tightly bound and less likely to escape into the gas phase. A larger surface area also leads to a higher vapor pressure, as there are more molecules available to transition from liquid to gas.

Why is it important to calculate the vapor pressure of ethanol at 35°C?

Knowing the vapor pressure of a substance at a specific temperature is important for understanding its physical properties and behavior. In the case of ethanol, its vapor pressure at 35°C is relevant for industrial processes and chemical reactions that involve ethanol at this temperature. It can also be useful in determining the safe handling and storage of ethanol at this temperature.

What are some applications of vapor pressure calculations?

Vapor pressure calculations have a wide range of applications in various industries. For example, in the pharmaceutical industry, vapor pressure is important for determining the stability and shelf life of drugs. In the automotive industry, it is crucial for fuel efficiency and engine performance. In the chemical industry, it is used to control and monitor reactions and processes. Additionally, vapor pressure calculations are also important in environmental studies and weather predictions.

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