Benzene and toluene form an ideal solution ov | vedclass

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(B) Given: $P_{B}^{\circ} = 50 \ mmHg$,$P_{T}^{\circ} = 40 \ mmHg$ $M_{B} = 78 \ g \ mol^{-1}$,$M_{T} = 92 \ g \ mol^{-1}$ Moles of benzene $(n_{B})$

Vedclass · Accepted Answer

$0.21$

Vedclass · Answer

(B) Given: $P_{B}^{\circ} = 50 \ mmHg$,$P_{T}^{\circ} = 40 \ mmHg$ $M_{B} = 78 \ g \ mol^{-1}$,$M_{T} = 92 \ g \ mol^{-1}$ Moles of benzene $(n_{B})$ $= \frac{117 \ g}{78 \ g \ mol^{-1}} = 1.5 \ mol$ Moles of toluene $(n_{T})$ $= \frac{46 \ g}{92 \ g \ mol^{-1}} = 0.5 \ mol$ Mole fraction of benzene $(X_{B})$ $= \frac{1.5}{1.5 + 0.5} = 0.75$ Mole fraction of toluene $(X_{T})$ $= \frac{0.5}{1.5 + 0.5} = 0.25$ Partial pressure of benzene $(P_{B})$ $= P_{B}^{\circ} 	imes X_{B} = 50 	imes 0.75 = 37.5 \ mmHg$ Partial pressure of toluene $(P_{T})$ $= P_{T}^{\circ} 	imes X_{T} = 40 	imes 0.25 = 10 \ mmHg$ Total vapour pressure $(P_{total})$ $= P_{B} + P_{T} = 37.5 + 10 = 47.5 \ mmHg$ Mole fraction of toluene in vapour phase $(Y_{T})$ $= \frac{P_{T}}{P_{total}} = \frac{10}{47.5} \approx 0.21$

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Which of the following statements about the composition of the vapour over an ideal $1:1$ molar mixture of benzene and toluene is correct? Assume that the temperature is constant at $25\ ^oC$. (Given,vapour pressure data at $25\ ^oC$,benzene $= 12.8\ kPa,$ toluene $= 3.85\ kPa$)

Which statement about the composition of vapour over an ideal $1:1$ molar mixture of benzene and toluene is correct? Assume the temperature is constant at $25\,^{\circ}C$. Vapour pressure data $(25\,^{\circ}C)$:
Benzene: $75\, mm\, Hg$
Toluene: $22\, mm\, Hg$

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