Question

hcl solution of ph=4 is diluted from 1l to 100l. The ph of final solution is​

Answer 1

Answer:

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Answer 2

Answer:

The pH of the HCl solution after diluted from 1L to 100L = 5.95

Explanation:

Data given in the question is,

The pH of the HCl solution = 4

Dilution occurs from 1 L to 100 L.

As we know,

• pH is the power or potential of hydrogen.
• It is a measure of the relative amount of free hydrogen ions present in the solution.
• $pH = \: - log [H {}^{ + } ]$
• $[H {}^{ + } ] = 10 {}^{ - pH} \: M$
• $[H {}^{ + } ] = 10 {}^{ - 4}$

Now, after dilution,

• $[H {}^{ + } ] = \frac{10 {}^{ - 4} }{100}$
• $[H {}^{ + } ] = 10 {}^{ - 6}$

As [H⁺] from H₂0 cannot be neglected.

So, the total concentration of  [H⁺] is;

• $[H {}^{ + } ] = 10 {}^{ - 6} + 10 {}^{ - 7}$
• $[H {}^{ + } ] = 10 {}^{ - 6} (1 \: + \: 10 {}^{ - 1} )$
• $[H {}^{ + } ] = 1.1 \: \times \: 10 {}^{ - 6}$

Now,

• $pH = - log[H^{+} ]$
• $pH = - log \ [1.1 \times 10 {}^{ - 6} ]$
• pH = 6 - 0.0413                            ( log 1.1 = 0.0413)
• pH = 5.9587

Hence, the pH of HCl after dilution = 5.9587.