Ethanol (C₂H₆O) and methanol (CH₄O) form nearly ideal mixtures. A mixture consisting of 1.02 moles of ethanol and 0.98 moles of methanol has a total vapour pressure of 8.82 kPa at 293 K. When another 0.5 moles of methanol is added, the vapour pressure rose to 9.32 kPa. The vapour pressures of pure methanol and ethanol respectively (in bar) are

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

0.128 and.0.226

0.226 and 0.118

0.064 and 0.113

0.113 and 0.064

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

(A)
$\begin{array}{l} 8 .82 = p_{{CH}_{3} OH}^{\circ} \times \frac{0 .98}{2} + p_{C_{2} H_{5} OH}^{\circ} \times \frac{1 .02}{2} \\ = 0 .49 \times p_{{CH}_{3} OH}^{\circ} + 0 .51 p_{C_{2} H_{5} OH}^{\circ} \end{array}$
(B)
$\begin{array}{l} 9 .32 = p_{{CH}_{3} OH}^{\circ} \times \frac{1 .48}{2 .5} + p_{C_{2} H_{5} OH}^{\circ} \times \frac{1 .02}{2 .5} \\ = 0 .592 \times p_{{CH}_{3} OH}^{\circ} + 0 .408 p_{C_{2} H_{5} OH}^{\circ} \end{array}$
(C) On solving the two equations
$\begin{array}{l} p_{C_{2} H_{5} OH}^{\circ} = 6 .41 kPa = 6.41 kPa \times 0.01 \frac{bar}{kPa} = 0.064 bar \\ p_{{CH}_{3} OH}^{\circ} = 11 .33 kPa \end{array}$
or $p_{{CH}_{3} OH}^{\circ} = 11.33 kPa \times 0.01 \frac{bar}{kPa} = 0.113 bar$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th