In a mixture of weak acid and its salt, the ratio of the concentration of salt to acid is increased tenfold.The pH of the solution would increase by:

0.5

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Solution

The correct option is B 1
In a mixture of weak acid and its salt,the ratio of concentration of salt to acid is increased ten fold.The pH of the solution would increase by one unit.
Let the original ratio be x. The new ratio will be 10x.
The original pH will be $p H = p K_{a} + l o g \frac{[s a l t]}{[a c i d]} = p K_{a} + l o g x$
The new pH will be $p H = p K_{a} + l o g \frac{[s a l t]}{[a c i d]} = p K_{a} + l o g 10 x = p K_{a} + l o g 10 + l o g x = p K_{a} + 1 + l o g x$
Hence, the change in the pH will be 1 unit.

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