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Question

Chemistry Question on Solutions

If a is the degree of dissociation of Na2SO4Na_2SO_4, the van?t Hoff factor (i) used for calculating the molecular mass is :

A

12α1-2\alpha

B

1+2α1+2\alpha

C

1α1-\alpha

D

1+α1+\alpha

Answer

1+2α1+2\alpha

Explanation

Solution

Na2SO42Na++SO42Na_{2}SO_{4}\,{\rightleftharpoons}\,2Na^{+} + SO^{2-}_{4} van?t Hoff factor i=[1+(y1)α]i = \left[1 + \left(y - 1\right)\alpha\right] where yy is the number of ions from one mole solute, (in this case =3= 3), α\alpha the degree of dissociation.i=(1+2α)\quad\quad i = \left(1 + 2\alpha\right)