Question

A mixture of liquids A and B exhibits ideal behavior. At $84^{\circ} \mathrm{C}$, the total vapor pressure of a solution containing 1.2 moles of A and 2.3 moles of B is 331 mmHg . Upon the addition of another mole of B to the solution, the vapor pressure increases to 347 mmHg . Calculate the vapor pressures of pure A and B at $84^{\circ} \mathrm{C}$.

   A mixture of liquids A and B exhibits ideal behavior. At $84^{\circ} \mathrm{C}$, the total vapor pressure of a solution containing 1.2 moles of A and 2.3 moles of B is 331 mmHg . Upon the addition of another mole of B to the solution, the vapor pressure increases to 347 mmHg . Calculate the vapor pressures of pure A and B at $84^{\circ} \mathrm{C}$.
 
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Chemistry
Chemistry
Raymond Chang, Jason… 14th Edition
Chapter 12, Problem 133 ↓
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A mixture of liquids A and B exhibits ideal behavior. At $84^{\circ} \mathrm{C}$, the total vapor pressure of a solution containing 1.2 moles of A and 2.3 moles of B is 331 mmHg . Upon the addition of another mole of B to the solution, the vapor pressure increases to 347 mmHg . Calculate the vapor pressures of pure A and B at $84^{\circ} \mathrm{C}$.
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Transcript

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00:02 All right, for this question, we got to set up a system of equations.
00:07 And we have two scenarios.
00:13 The first scenario is before the addition of the extra b.
00:19 And the second scenario is when we add the extra b.
00:23 So for both cases, we can set up an equation for the total pressure.
00:28 The total pressure of the system will be the pressure of a plus the pressure of a, plus the pressure of b.
00:36 Remember that for any solution, the pressure, the vapor pressure of one component that is volatile, as the case of a, b, they're both volatile, will be the molar fraction of that component, i'm calling i in this case, times the vapor pressure of that component when it's pure.
01:03 So in this question, we're asked this.
01:06 We're asking this.
01:06 We're asking.
01:06 To find a vapor pressure of a when it's pure and b when it's pure.
01:12 Okay, so let's rewrite the equation for the total pressure.
01:16 Now in terms of the molar fraction of a times the pressure of a pure.
01:24 Molar fraction of b times the pressure of b pure.
01:30 All right...
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