Question

how many times solution of ph 4
be diluted to get solution of ph 6

Answer 1

100 times dilution will lead to pH 6

Answer 2

Answer:

The solution of $pH 4$ can be diluted $100 times$ to get $pH 6$.

Explanation:

Case 1)

Given,

$pH = 4$

As we know,

• pH is known as the power of hydrogen.
• It is a measurement of the relative amount of the free hydrogen ions present in the solution.

• $pH = -log [H^{+}]$

Therefore,

• $[H^{+}] = 10^{-pH}$   -------equation (1)

As given,

• $pH = 4$

After putting the value of $pH = 4$ in equation (1), we get:

• $[H^{+}] = 10^{-4}$

Case 2:

Given,

• $pH = 6$

After putting the value of $pH = 6$ in equation (1), we get:

• $[H^{+}] = 10^{-6}$

Now, after comparing the hydrogen ion concentrations of both the pH, we get:

• $\frac{[H^{+}] pH 4}{[H^{+}] pH 6} = \frac{10^{-4} }{10^{-6} }$
• $\frac{[H^{+}] pH 4}{[H^{+}] pH 6} = 10^{2}$
• ${[H^{+}] pH 4} = 10^{2}{[H^{+}] pH 6}$

Hence, the solution of $pH 4$ can be diluted $100 times$ to get $pH 6$.