High School

We appreciate your visit to Calculate the mole fraction of acetone x text acetone and cyclohexane x text cyclohexane in the vapor above the solution Given p circ text acetone. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Calculate the mole fraction of acetone (\(x_{\text{acetone}}\)) and cyclohexane (\(x_{\text{cyclohexane}}\)) in the vapor above the solution. Given: \(p^\circ_{\text{acetone}} = 229.5 \, \text{torr}\) and \(p^\circ_{\text{cyclohexane}} = 97.6 \, \text{torr}\).

Answer :

To calculate the vapor composition of a solution, we can use Raoult's law, which states that the vapor pressure of a component in an ideal solution is directly proportional to its mole fraction in the liquid phase.

Let's assume that the mole fraction of acetone in the liquid phase is x_acetone and the mole fraction of cyclohexane is x_cyclohexane. According to Raoult's law, the partial pressure of acetone in the vapor phase, p_acetone, is given by p_acetone = p°acetone * x_acetone, where p°acetone is the vapor pressure of pure acetone.

Similarly, the partial pressure of cyclohexane in the vapor phase, p_cyclohexane, is given by p_cyclohexane = p°cyclohexane * x_cyclohexane, where p°cyclohexane is the vapor pressure of pure cyclohexane.

Since the total pressure above the solution is the sum of the partial pressures, we have: p_total = p_acetone + p_cyclohexane.

Now, let's solve the equations using the given values:

p°acetone = 229.5 torr

p°cyclohexane = 97.6 torr

We can rearrange the equations to find x_acetone and x_cyclohexane:

x_acetone = p_acetone / p°acetone

x_cyclohexane = p_cyclohexane / p°cyclohexane

Substituting the equations, we get:

x_acetone = (p°acetone * x_acetone) / p°acetone

x_cyclohexane = (p°cyclohexane * x_cyclohexane) / p°cyclohexane

Simplifying, we find:

x_acetone = x_acetone

x_cyclohexane = x_cyclohexane

Therefore, the mole fractions of acetone and cyclohexane in the vapor above the solution are the same as their mole fractionsin the liquid phase.

Learn more about vapor composition here : brainly.com/question/8598915
#SPJ11

Thanks for taking the time to read Calculate the mole fraction of acetone x text acetone and cyclohexane x text cyclohexane in the vapor above the solution Given p circ text acetone. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada