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Sagot :
The volume of distilled water added to the original solution is closest to 300.0 ml.
What is pH?
The potential of hydrogen is a measure of the acidity or alkalinity of a solution equal to the common logarithm of the reciprocal of the concentration of hydrogen ions in moles per cubic decimetre of solution.
Concentration of 30.0 ml sample of [tex]HNO_3[/tex] solution is = 6.31 X [tex]10^{-5}[/tex] M
pH of diluted [tex]HNO_3[/tex] solution = 5.20
We know that,
[tex]pH= -Log [H^+][/tex]
[tex]5.20= -Log [H^+][/tex]
[tex][H^+] = 10^{-5.2} = 6.31 X 10^{-6} M[/tex]
Hence, concentration of unknown diluted [tex]HNO_3[/tex] solution is 6.31 X [tex]10^{-5}[/tex] M.
By the use of the equation:
[tex]HNO_3[/tex] Concentration = [tex]HNO_3[/tex] diluted
[tex]V_{dil} = \frac{(C_conc X V_conc)}{(C_{dil})}[/tex]
[tex]V_{dil}[/tex] = (6.31 X [tex]10^{-5}[/tex] M X 30.0 ml) ÷ (6.31 X 10^{-6} M)
[tex]V_{dil} = 300.0 ml[/tex]
Hence, the volume of distilled water added to the original solution is closest to 300.0 ml.
Learn more about pH here:
https://brainly.com/question/15289741
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