Step 1:

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The percent ionization is 50 %.

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ka for HF is \"\".

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The chemical equation is \"\".

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The initial concentration of the [HF] is y M.

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Let us consider change in the concentration:  \"\", then \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"
Initial Amount\"\"\"\" \"\"
Change in Amount\"\"\"\"\"\"
Equilibrium amount\"\"\"\" \

\"\"

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Step 2:

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Percentage ionization :

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\"\"

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\"\"

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Step 3:

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Acid ionization factor \"\".

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\"\"

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Substitute \"\" in the above equation.

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\"\"

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The initial concentration of the [HF] is \"\"M.

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Solution:

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The initial concentration of the [HF] is \"\"M.