In: Chemistry
27.5 mL of a 0.250 M ammonium carbonate solution is added to 36.0 mL of 0.1250 M calcium chloride. What is the concentration of ammonium and calcium ions in the final solution?
Here is your answer.
Hope you will understand.
For ammonium carbonate,
Taken volume of ammonium carbonate(V1) = 27.5mL
And concentration (S1)= 0.250M
Total volume after calcium chloride added(V2)= (27.5+36.0) mL = 63.5 mL
We know, V1×S1 = V2×S2
So, putting the values of V1, S1,V2 , we will get the concentration of ammonium carbonate after addition of calcium chloride.
So, 27.5 mL × 0.250M = 63.5 mL × S2
or, S2 = 0.1082677 M
So, concentration of ammonium carbonate is 0.1082677 M.
We can see from 1 mole ammonium carbonate, we get 2 mole ammonium ion, because
(NH4)2CO3 --------> 2NH4+ + CO32-
So, the concentration of ammonium ion = 2 × concentration of ammonium carbonate
= 2 × 0.1082677 M = 0.2165354 M (Answer)
For calcium chloride,
Taken volume of calcium chloride (V1)= 36.0 mL and concentration (S1) = 0.1250 M
Total volume (V2) =(27.5 +36.0) mL =63.5 mL
We know, V1× S1 = V2 × S2
or, 36.0 mL× 0.125 M = 63.5 mL × S2
or, S2 = 0.070866 M
We get 1 mole calcium ion from 1 mole calcium chloride,
CaCl2 -----------> Ca2+ + 2Cl-
So, concentration of calcium ion is 0.070866 M.(answer)
Thank you for reading. ?