Question

pH of sample of a lemon juice is
5.4.
What will be the concentration
of Hydrogen ions in it​

Answer 1

Answer:

Lemon juice is acidic in nature because it has a pHa of 5.4

Answer 2

Answer:

The hydrogen ion's concentration, $[H^{+}]$, measured in the sample of lemon juice is $3.98\times10^{-6}M$.

Explanation:

Given,

The pH of the given sample of lemon juice = $5.4$

In the sample of lemon juice, the hydrogen ion's concentration, $[H^{+}]$ =?

As we know,

• pH = $-log[H^{+}]$

Thus,

• $[H^{+}] = 10^{-pH}$

After putting the value of pH in the above equation, we get:

• $[H^{+}] = 10^{-5.4}$

After splitting the term into two:

• $[H^{+}] = 10^{-6} \times 10^{+0.6}$       ( $10^{a+b} = 10^{a}\times 10^{b}$ )
• $[H^{+}] = 10^{-6} \times 10^{\frac{3}{5} }$
• $[H^{+}] = 10^{-6} \times \sqrt[5]{10^{3} }$
• $[H^{+}] = 10^{-6} \times \sqrt[5]{1000 }$
• $[H^{+}] = 10^{-6} \times 3.98M$              ( $\sqrt[5]{1000 } =3.98$ )

Hence, the concentration of the hydrogen ions,$[H^{+}]$ = $3.98\times10^{-6}M$.