Respuesta :
Answer:
[tex]K_a=3.46 \times 10^{-8}.[/tex]
Explanation:
We know at equivalent point,
[tex]M_1V_1=M_2V_2\\M_{acid}V_{acid}=M_{base}V_{base}\\0.30 \times20=0.30 \times V_{base}\\V_{base}=20 ml.[/tex]
So, equivalent point is obtained at 20 ml.
Therefore, half equivalent point is obtained at 10 ml.
Also , at 10 ml NaOH , pH= 7.46 .
We know,
[tex]pH=pK_a[/tex]
Also, [tex]pK_a=-\ln K_a[/tex]
Taking anti log both sides .
We get [tex]K_a=3.46 \times 10^{-8}.[/tex]
Hence, it is the required question.
The volume of NaOH at equivalence point should be considered as the [tex]3.46*10^-8[/tex][tex]3.46*10^-8[/tex].
Calculation of the volume of NaOH:
SInce
we know that
[tex]m_1v_1 = m_2v_2\\\\0.30 * 0.20 = 0.30* v_2[/tex]
so v2 = 20 ml
Now
half equivalent point is obtained at 10 ml.
Also , at 10 ml NaOH , pH= 7.46 .
So
here the volume should be [tex]3.46*10^-8[/tex]
Hence, The volume of NaOH at equivalence point should be considered as the [tex]3.46*10^-8[/tex]
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