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Question

An acid Solution of pH = 6 is diluted 1000 times, and the pH of the final solution becomes


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Solution

pH Abbreviation:

  • The term "pH" can be interpreted as an acronym for "power of hydrogen," or more precisely, “the concentration of hydrogen ions in a liquid.”
  • The mathematical definition of pH is broad and practical. It claims that the pH is equal to the negative logarithmic value of the hydrogen ion (H+) concentration.
  • pH=-logH+

Step 1: The given pH and pH after dilution :

  • Given pH = 6
  • After dilution:

[H+] = 10-6103

[H+] = 10-9

Step 2: The total H+ ions :

  • Water (H2O)contains [H+] ions
  • Total [H+]=10-9+10-7

= 10-710-2+1 (Taking,10-7 common)

= 10-7(1.01)

Step 3: Taking log :

  • pH = -log1.01×10-7

= 7-0.0043

= 6.9957

Therefore, the pH of the final solution becomes 6.9957.


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