Question
i need help solving for y. how did we get 2.4 x 10 ^-8 M


Reaction [H2CO3] Initia [HCO3) 4.58 x 10-3 -y 0.00458 - y TOH-1 0.00458 +y Change + y Equilibrium 0.00458 + y • K12 = 2.4 x 1

here is all the information i need help on how we solved for y = [C2O4^2-]. dont know what to do with 6.4 x 10 ^ -5 = (y)(0.0528 + y) / 0.0528 - y
i need a step by step explanation please
Example *What is the pH of a 0.10 M solution of oxalic acid, H2C204? What are the concentrations of H30+, HC202, and C202-? .
Solution Reaction Initial Change Equilibrium (HC,01_ 0.10 U 0.10 - X (HC,02 0 + x [H,01 0 + x tx • Ka = 5.9 x 10-2 = (HC204][
Solution Reaction Initial Change Equilibrium H30 0.0528 (HC,01 0.0528 -y 0.0528 - y 0,0 0 +y ty y 0.0528 + y • K = 6.4 x 10-5
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Answer #1

This is a quadratic equation in this two cases which are solved to get the x and y.

In case of H2CO3, 0.00458+y=0.00458 as y is very small.

So, y=Kb2

x2=(0.1-x)×5.9×10-2.

x2-5.9×10-3+5.9×10-2x. this is of the form ax2+bx+c=0

Root is x=-b\pm√(b2-4ac)/2a, we get x.

Similarly, y2+0.0528y=-6.4×10-5y+3.4×10-6

y2+0.05806y-3.4×10-6=0

Solving in y we get the value given.

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