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Question: Find the \(pH\) of \(N{a_2}S{O_4}\): A) \(7\) B) \( > 7\) C) \( < 7\) D) Data insufficient....

Find the pHpH of Na2SO4N{a_2}S{O_4}:
A) 77
B) >7 > 7
C) <7 < 7
D) Data insufficient.

Explanation

Solution

We know that pHpH is the concentration of hydrogen ion in the solution.
The mathematical expression of pHpH is,
pH=log[H+]pH = \log \left[ {{H^ + }} \right]
A solution which has pHpH less than seven then is considered as acidic and a solution which has pHpH greater than seven then it is considered as basic.

Complete step by step answer:
First, we see the preparation of sodium sulphate.
Sodium sulphate is formed by the reaction of sodium hydroxide and sulphuric acid.
2NaOH+H2SO4Na2SO4+2H2O2NaOH + {H_2}S{O_4}\xrightarrow{{}}N{a_2}S{O_4} + 2{H_2}O
The above reaction is the reaction between strong acid and strong base.
We know that sulphuric acid is a strong acid and sodium hydroxide is a strong base.
Sulphuric acid provides hydrogen ion which combines with the hydroxyl ion from the strong base to form water molecules leading to pHpH of 77 and the anion of the acid combines with cation of the base to give a neutral salt.

Thus, an option A is correct.

Additional Information:
We know that a strong acid and strong base ionizes completely in aqueous solution. The general equation of the dissociation of acid is,
HA(aq)H+(aq)+A(aq)HA\left( {aq} \right)\xrightarrow{{}}{H^ + }\left( {aq} \right) + {A^ - }\left( {aq} \right)
The general equation for the dissociation of base is,
XOH(aq)X+(aq)+OH(aq)XOH\left( {aq} \right)\xrightarrow{{}}{X^ + }\left( {aq} \right) + O{H^ - }\left( {aq} \right)
The pHpH range of the body is77.87 - 7.8. If the pHpH of rain water is less than 5.65.6 then it is called acid rain. When acid rain flows into the river it lowers the pHpH of water and the survival of aquatic life in such a reaction is difficult.

Note:
We must know that if pOH{\text{pOH}} value is given then the pH{\text{pH}} of the solution is also calculated from the value of pOH.{\text{pOH}}{\text{.}} the formula to calculate the pH{\text{pH}} of the solution is,
pOH + pH = 14 pH = 14 - pOH  {\text{pOH + pH = 14}} \\\ {\text{pH = 14 - pOH}} \\\