Courses
Courses for Kids
Free study material
Offline Centres
More

How much water is to be added to dilute 10mL of 10N HCL to make it decinormal?
A. 990mL
B. 1010mL
C. 100mL
D. 1000mL

seo-qna
Last updated date: 01st Mar 2024
Total views: 309.5k
Views today: 6.09k
IVSAT 2024
Answer
VerifiedVerified
309.5k+ views
Hint: We know that the number of gram equivalents in a solution remains the same.
i.e. ${N_1}{V_1} = {N_2}{V_2}$ The volume and concentration of the initial solution is given. The concentration of the second solution is given. (decinormal = 0.1N).
Therefore, find the volume of the second solution.

Formula used:
Note that, the number of gram equivalents in a solution remains the same.
i.e. ${N_1}{V_1} = {N_2}{V_2}$
Where,${N_1}$ = concentration of the first solution
${N_2}$ = concentration of the second solution
${V_1}$ = volume of the first solution
${V_2}$ = volume of the first solution

Complete step by step answer:
The concentration of a decinormal solution is given by $\dfrac{1}{{10}}$(N) i.e. 0.1 (N)
We know that the number of gram equivalents in a solution remains the same.
i.e. ${N_1}{V_1} = {N_2}{V_2}$
Where,${N_1}$ = concentration of the first solution = 10 (N)
${N_2}$ = concentration of the second solution = $\dfrac{1}{{10}}$(N) = 0.1(N)
${V_1}$ = volume of the first solution = 10 ml
${V_2}$ = volume of the first solution = ?
Now substituting the values in the equation ${N_1}{V_1} = {N_2}{V_2}$, we get
$10 \times 10 = 0.1 \times {V_2}$
$ \Rightarrow {V_2} = \dfrac{{100}}{{0.1}}$
$ \Rightarrow {V_2} = 1000{\text{ ml}}$
So the final volume of the solution will be 1000 ml.
Hence, (1000−10)=990 ml water should be added to the solution in order to make it decinormal.

Therefore, the correct answer is option (A).

Note: The concentration of a decinormal solution is given by $\dfrac{1}{{10}}$(N) i.e. 0.1 (N)
Find the final volume of the decinormal solution by substituting the values of ${N_1}$, ${N_2}$ , ${V_1}$ and ${V_2}$ in the equation ${N_1}{V_1} = {N_2}{V_2}$
Hence we can find the excess water needed by subtracting the initial volume from the final one.
Recently Updated Pages
Trending doubts