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Question: Vant hoff factor of \(BaCl_{2}\) of conc. \(0.01M\) is 1.98. Percentage dissociation of \(BaCl_{2}\)...

Vant hoff factor of BaCl2BaCl_{2} of conc. 0.01M0.01M is 1.98. Percentage dissociation of BaCl2BaCl_{2} on this conc. Will be.

A

49

B

69

C

89

D

98 (e) 100

Answer

49

Explanation

Solution

BaCl2BaCl_{2}Ba2+Ba^{2 +} + 2Cl2Cl^{-}

Initially 1 0 0

After dissociation aαa - \alpha α\alpha 2α2\alpha

Total = 1α+α+2α=1+2α1 - \alpha + \alpha + 2\alpha = 1 + 2\alpha

α=1.981α=0.98α=0.49\alpha = \frac{1.98 - 1}{\alpha} = \frac{0.98}{\alpha} = 0.49

for a mole α=0.49\alpha = 0.49

For 0.01 mole α=0.490.01=49\alpha = \frac{0.49}{0.01} = 49.