Answer:

Explanation:
The differential equation is given as:


Taking integral of both sides; we have:







------- equation (1)
If C(0)=
; we have:
C(0)=
(where; A is an integration constant)




Substituting
into equation (1); we have;

Dilution law is given as:
(1)
where,
= molarity of initial concentrated solution.
= volume of initial concentrated solution.
= molarity of final diluted solution.
tex]V_{2}[/tex] = volume of final diluted solution.
Volume of initial concentrated solution of
= 100.0 mL
Molarity of initial concentrated solution of
= 5.50 M
Volume of final diluted solution of
= 0.950 M
Put the values in formula (1),


Hence, final diluted volume of the solution is
.
From the given balanced chemical equation,
CO2 + 2LiOH --> Li2CO3 + H2O
we can conclude that for every 2 moles of LiOH, we need a mole of CO2. Calculate first the number of moles of CO2 by dividing the given mass by the molar mass giving us an answer of 0.58 moles. Using proportionality,
0.58 / x = 1 / 2
The value of x is equal to 1.16 moles.