Question

Which of the following solutions has the same concentration of ${H^ + }$ ions as 0.1N HCL?.
A. 0.05M $\,{H_2}S{O_4}$
B. 0.03M \[\,{H_3}P{O_4}\]
C. 0.02M \[\,HN{O_3}\]
D. All the above

Answer 1

Hint: A mole is defined as the mass of the substance which consists of the equal quality of basic units. The basic units can be molecules, atoms or formula units based on the substance. Further, a mole fraction indicates the number of chemical elements.

Complete step by step answer:
In the given question, we have to find out the solution which has the same concentration of ${H^ + }$ ions as 0.1N HCL
Now, 0.1N HCL contains $0.1$mole of ${H^ + }$ ions as number of equivalent moles is one for HCL
Now, let’s consider the first option,
For ${H_2}S{O_4}$ number of equivalent moles $ = 2$
So, 0.05M ${H_2}S{O_4}$ has, $0.05 \times 2 = 0.1$ moles ${H^ + }$ ions
Now, in the second option,
0.03M $\,{H_3}P{O_3}$ has, $0.3 \times 3 = 0.9$ moles of ${H^ + }$ ions.
And, in the third option,
0.2M \[\,HN{O_3}\] has 0.2 moles ${H^ + }$ ions.
Therefore, it is seen that 0.05 $M\,{H_2}S{O_4}$ has the same concentration of ${H^ + }$ ions as in case of 0.1N HCL.

Hence, option A is correct.

Note: The mole is the chemical quantity unit. This further connects the atom with the macroscopic quantities of material with which we work in the laboratory. It allows the chemist to weigh quantities of two substances in order to obtain the equal numbers. One mole is equal to 6.02214179 or other elementary units like molecules.