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Daily Problem #26 Calculate the pH of a 2.00 M hydrazine (H2NNH.) solution. (K, for H2NNH, is 3.00 x 10).
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On dissolution in water, the following equilibrium will represent the basic reactions;

First we need to construct an ICE table for the calculation of equilibrium concentrations;

H2NNH2 ---> N2H5+ + OH-   
Initial 2.00 0 0
Change -a +a +a
Equilibrium (2.00 - a) a a

The expression for Kb is as follows;

Kb = [N2H5+][OH-]/[H2NNH2] = 3.00 x 10-6

Kb = a2/(2.00 - a) = 3.00 x 10-6

Or a2 + 3.00 x 10-6 a - 6.00 x 10-6 = 0

On solving the above quadratic equation for a;

we will get a = 0.0024480 ~~ [OH-]

and pOH = -log(0.0024480) = 2.61

and pH = 14 - pOH = 11.39

please let me know, if you have any doubts by commenting below the answer.

Thanks

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Daily Problem #26 Calculate the pH of a 2.00 M hydrazine (H2NNH.) solution. (K, for H2NNH, is 3.00 x 10).
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