Answer:
0.14%
Step-by-step explanation:
The computation of % is shown below:
As we know that
HClO <=> H+ + ClO-
I 0.015 0 0
C -a +a +a
E 0.015-a a a
Now
![Ka = ([H+][ClO-])/([HClO])](https://img.qammunity.org/2021/formulas/chemistry/college/6agqsdkr8g9a1esppxik3r9r41p84bjeoy.png)
![= (a^(2))/((0.015 - a)) \\\\= 3.0 * 10^(-8)](https://img.qammunity.org/2021/formulas/chemistry/college/pce1r47fvitzzuq3eymkeiu9ytgkka4jvb.png)
![a^(2) + 3.0 * 10^(-8)a - 4.5 * 10^(-10) = 0](https://img.qammunity.org/2021/formulas/chemistry/college/teadtt8avi0i9qne7kqqxv8nc2qzhgo1gk.png)
Now Solves the quadratic equation i.e.
![a = 2.120 * 10^(-5)](https://img.qammunity.org/2021/formulas/chemistry/college/c5oo1w6kklpffwvs8l1qbgc4es5p5nnz4l.png)
![[H+] = a = 2.120 * 10^(-5) M](https://img.qammunity.org/2021/formulas/chemistry/college/23r2co9av82kvop1nrwjnwf9pyfmyjqw6a.png)
So,
% ionization is
![= ([H+])/([HClO])_(initial) * 100\%\\\\= 2.120 * 10^(-5)/0.015 * 100\%](https://img.qammunity.org/2021/formulas/chemistry/college/m1l93zrs1giz5o528mzj367jz9xfbvzqik.png)
= 0.14%
Hence, the percentage of hypochlorous ionization is 0.14%