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Chemistry Question on Solutions

The osmotic pressure of solutions of PVC in cyclohexanone at 300K300 K are plotted on the graph The molar mass of PVCPVC is ____gmol1g \,mol ^{-1} (Nearest integer)
The osmotic pressure of solutions of PVC in cyclohexanone at 300K are plotted
( Given : R = 0.083 L atm K-1 mol-1 )

Answer

The correct answer is 41500
The osmotic pressure of solutions of PVC in cyclohexanone at 300K are plotted

π=M′RT=(VW/M​)RT
⇒π=(VW​)(M1​)RT=C(MRT​)
⇒Cπ​=MRT​=f(c)
If we assume graph between Cπ​ and C
Assuming π vs C graph
Slope =MRT​=M0.083×300​=6×10−4
∴M=6×10−40.083×300​=6830×300​
=41,500gm/mole