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Solve this problem An aqueous solution contains a substance which yeilds 4x10-3mol/l ion of H3O+.If log 2=0.3010 then PH of the solution is:

An aqueous solution contains a substance which yeilds 4x10-3 mol/l ion of H3O+. If log 2=0.3010 then PH of the solution is:

  • Option 1)

    1.5

  • Option 2)

    2.398

  • Option 3)

    3.0

  • Option 4)

    3.4

 
Answers (1)
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As learnt in

The p(H) scale -

Hydronium ion concentration in molarity is more conveniently expressed on a logarithmic scale known as p(H) scale.

- wherein

The p(H) of a solution is defined as negative logarithm to base 10 of the activity of hydrogen ion

P(H)=-log[H^{+}]

 

 \left [ H^{+} \right ]= 4 \times 10^{-3}\ M

then   pH = -\log \left ( H^{+} \right )

                  = -\log \left ( 4\times 10^{-3} \right )

                  = 3 -2\log 2 = 3-2\times 0.301= 2.398


Option 1)

1.5

This answer is incorrect

Option 2)

2.398

This answer is correct

Option 3)

3.0

This answer is incorrect

Option 4)

3.4

This answer is incorrect

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