Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Use E5C.1(a) to Plot the data in excel. Place two data sets on the same graph: one for temp vs. x and one for temp vs y (remember, x and y are the mole fractions and they belong on the x-axis). Don’t forget to include the boiling points of the pure substances – they are data, too. Add a trendline (polynomial, 3rd order should work) to each of the coexistence lines separately. Scale the plot appropriately and use the graph to answer the questions. Then complete E5C.1(b)
**E5C.1(a)** The following temperature–composition data were obtained for a mixture of octane (O) and methylbenzene (M) at 1.00 atm, where \( x \) is the mole fraction in the liquid and \( y \) the mole fraction in the vapour at equilibrium.

| θ/°C | 110.9 | 112.0 | 114.0 | 115.8 | 117.3 | 119.0 | 121.1 | 123.0 |
|------|-------|-------|-------|-------|-------|-------|-------|-------|
| \( x_M \) | 0.908 | 0.795 | 0.615 | 0.527 | 0.408 | 0.300 | 0.203 | 0.097 |
| \( y_M \) | 0.923 | 0.836 | 0.698 | 0.624 | 0.527 | 0.410 | 0.297 | 0.164 |

The boiling points are 110.6°C and 125.6°C for M and O, respectively. Plot the temperature–composition diagram for the mixture. What is the composition of the vapour in equilibrium with the liquid of composition (i) \( x_M = 0.250 \) and (ii) \( x_O = 0.250 \)?

**E5C.1(b)** The following temperature/composition data were obtained for a mixture of two liquids A and B at 1.00 atm, where \( x \) is the mole fraction in the liquid and \( y \) the mole fraction in the vapour at equilibrium.

(Note: To fully interpret this data on an educational website, students should be guided on how to plot the temperature-composition diagram and interpret the equilibrium states of the mixtures based on the provided mole fractions and temperatures.)
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Transcribed Image Text:**E5C.1(a)** The following temperature–composition data were obtained for a mixture of octane (O) and methylbenzene (M) at 1.00 atm, where \( x \) is the mole fraction in the liquid and \( y \) the mole fraction in the vapour at equilibrium. | θ/°C | 110.9 | 112.0 | 114.0 | 115.8 | 117.3 | 119.0 | 121.1 | 123.0 | |------|-------|-------|-------|-------|-------|-------|-------|-------| | \( x_M \) | 0.908 | 0.795 | 0.615 | 0.527 | 0.408 | 0.300 | 0.203 | 0.097 | | \( y_M \) | 0.923 | 0.836 | 0.698 | 0.624 | 0.527 | 0.410 | 0.297 | 0.164 | The boiling points are 110.6°C and 125.6°C for M and O, respectively. Plot the temperature–composition diagram for the mixture. What is the composition of the vapour in equilibrium with the liquid of composition (i) \( x_M = 0.250 \) and (ii) \( x_O = 0.250 \)? **E5C.1(b)** The following temperature/composition data were obtained for a mixture of two liquids A and B at 1.00 atm, where \( x \) is the mole fraction in the liquid and \( y \) the mole fraction in the vapour at equilibrium. (Note: To fully interpret this data on an educational website, students should be guided on how to plot the temperature-composition diagram and interpret the equilibrium states of the mixtures based on the provided mole fractions and temperatures.)
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