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Q.

A container is divided into two parts in the ratio 1:3 by fixed semi permeable membrane (SPM) (which permits movement of NO2 only) as shown. At temperature ‘T’ Kelvin chamber I consists of undissociated N2O4 at pressure of 20 mm and chamber II contains small amount of liquid H2O. The chambers are now heated to the temperature ‘1.2T’ Kelvin at which N2O4 dissociates by 50%.

Question Image

Given: The vapour pressure of water at ‘T’ Kelvin 20mm of Hg and vapour pressure at ‘1.2T’ Kelvin is 30mm of Hg.
Assume H2O does not completely evaporate at ‘T’ or ‘1.2T’ Kelvin.
Calculate abcd where
ab=two digit number representing pressure (in mm) in chamber I at ‘1.2T’ Kelvin
cd=two digit number representing pressure (in mm) in chamber II at ‘1.2T’ Kevin.
(abcd is a four digit number with digits a,b,c,d)

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answer is 1836.

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Detailed Solution

Initial pressureChamber I                  Chamber II  T                                        N2O4=20   mm       H2OV=20  mm1.2T                                  N2O4=24   mm          V=30  mm                                                                                                  PN2O2  rem=12 mm     30+6                                                 PNO2=24/46        36                                                 12+618

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