I NEED A STEP BY STEP please, on how to work this problem. I don’t know how or w

Question

I NEED A STEP BY STEP please, on how to work this problem. I don’t know how or where some of the stuff comes from. I NEED an in depth explaination please. I need to know why the step is happening and what the reason to use it. I don’t know where some of the numbers and what [H3O+] is especially since it says find HNO. I’m so lost and confused.
I need the long detailed answer on how to work this problem. I really need to understand where this problem goes. So I can do it in class. I don’t understand the way the teacher explains it.
Please help. Thank you!

Explanation / Answer

Let us write the equation

HA + H2O H3O+ + A¯

Let us write the Ka as shown here

Ka = [H3O+] [A¯] / [HA]

4.6 x 10¯4 = {(x) (x)} / [HA]

4.6 x 10¯4 =  {(x) (x)} / 0.205 -X

Since x is rather small we can remove the equation

4.6 x 10¯4 =  {(x) (x)} / 0.205

x = 0.00971

X is H+ ion concentration

Using the equation Let us calculate pH

pH = - Log H+

pH = - Log 0.00971

pH = 2.012

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