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Page No 47: - Chapter 2 - Solutions - Exercise Solutions - Ncert Solutions class 12 - Chemistry

Updated On 26-08-2025 By Lithanya


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Question 2.8:

The vapour pressure of pure liquids A and B are 450 and 700 mm Hg respectively, at 350 K. Find out the composition of the liquid mixture if total vapour pressure is 600 mm Hg. Also find the composition of the vapour phase.

Answer:

It is given that:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6116/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_322b825.gif = 450 mm of Hg

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6116/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_36d5f3ea.gif = 700 mm of Hg

ptotal = 600 mm of Hg

From Raoult’s law, we have:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6116/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_1936cfc1.gif Therefore, total pressure, https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6116/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_612b76d6.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6116/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_7d57b158.gif

Therefore, https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6116/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_7eb2c6c5.gif

= 1 − 0.4

= 0.6

Now,

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6116/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_fb4393e.gif

= 450 × 0.4

= 180 mm of Hg

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6116/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_m5097ea18.gif

= 700 × 0.6

= 420 mm of Hg

Now, in the vapour phase:

Mole fraction of liquid Ahttps://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6116/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_m1928f4d.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6116/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_cbee892.gif

= 0.30

And, mole fraction of liquid B = 1 − 0.30

= 0.70