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Vapour Liquid Equilibria Questions and Answers

Answer: A

Correct answer: the first bubble of vapour appears

The bubble point is where a liquid heated at constant pressure just begins to boil, and the vapour in that first bubble is richer in the more volatile component than the liquid it came from. Its counterpart is the dew point, where the last drop of liquid disappears - or, coming the other way, where a cooled vapour first condenses. Between the two the mixture is two-phase.

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2.

State whether the following is true or false.
At the bubble point the vapour formed has the same composition as the liquid.

Answer: B

The first bubble is richer in the more volatile component, which is exactly what makes distillation possible. Only at an azeotrope do the two compositions coincide, and that is why an azeotrope cannot be separated by simple distillation.

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3.

Match each term with what it identifies on a temperature composition diagram.
List I
A. Bubble point curve
B. Dew point curve
C. Tie line
D. Azeotrope
List II
1. a horizontal line joining phases in equilibrium
2. the boundary of the all-liquid region
3. the point where the two curves touch
4. the boundary of the all-vapour region

Answer: C

Reading a phase diagram is a matter of knowing which curve bounds which region and what a horizontal cut means. The tie line in particular is what the lever rule is applied to. Every diagram is drawn at one stated pressure.

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Answer: D

It is the distribution ratio between the phases and is the working quantity in every flash calculation. For an ideal system it reduces to the vapour pressure divided by the total pressure, but in general it depends on composition too.

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5.

Component A has a vapour pressure of 120 kilopascals and B has 40 kilopascals at the system temperature. What is the relative volatility of A with respect to B for an ideal solution?

Answer: A

For an ideal system the relative volatility is the ratio of the pure component vapour pressures, which is one hundred and twenty over forty. Larger values mean an easier separation, and a value of one means none is possible.

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6.

Assertion (A): A relative volatility of one makes separation by ordinary distillation impossible.
Reason (R): The vapour formed then has the same composition as the liquid it came from.

Answer: B

Both are true and the reason gives the mechanism: distillation works only because the vapour is enriched, so when the enrichment vanishes no number of stages helps. The limit is thermodynamic rather than one of contacting.

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Answer: C

It is the simplest useful correction for a non-ideal liquid at low pressure, where the vapour may still be treated as ideal. Adding a vapour fugacity coefficient gives the full gamma-phi formulation. Below a few bar the vapour correction is negligible.

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8.

Consider the following statements about azeotropes.
1. A minimum boiling azeotrope arises from positive deviations.
2. At an azeotrope the vapour and liquid compositions are identical.
3. An azeotropic composition is independent of pressure.

Answer: D

Correct answer: 1 and 2 only

Statements 1 and 2 are correct: positive deviations from Raoult’s law raise the total pressure and produce a minimum boiling azeotrope, and at the azeotropic point the vapour and liquid have the same composition - which is precisely why no further separation is possible by ordinary distillation. Statement 3 is wrong, and usefully so: the composition shifts with pressure, which is the basis of pressure-swing distillation.

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9.

Ethanol and water form an azeotrope at about 95 per cent ethanol, which means that ordinary distillation

Answer: A

Once the azeotropic composition is reached the vapour and liquid are identical and no further enrichment occurs. Anhydrous ethanol requires an entrainer, a membrane or a molecular sieve instead. The last few per cent of water is the expensive part.

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Answer: B

Extra stages cannot help, because the limit is thermodynamic rather than one of contacting. The other three all change the equilibrium itself rather than approaching it more closely. Reflux and stages both address contacting, not equilibrium.

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