Question

Solve this:

1. (a) The PH of rain water collected from two cities A and B was found to be 6 and 5 respectively. Water of which city is more acidic? Find out the ratio of hydrogen ion concentration in the two samples of rain water ?

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{pH}=-\log \left[{\mathrm{H}}^{+}\right] \\ \mathrm{So},{\mathrm{pH}}_{\mathrm{A}}=-\log [{\mathrm{H}}^{+}{]}_{\mathrm{A}} \\ \mathrm{or},[{\mathrm{H}}^{+}{]}_{\mathrm{A}}={10}^{-{\mathrm{pH}}_{\mathrm{A}}}={10}^{-6} \\ {\mathrm{pH}}_{\mathrm{B}}=-\log [{\mathrm{H}}^{+}{]}_{\mathrm{B}} \\ \mathrm{or},[{\mathrm{H}}^{+}{]}_{\mathrm{B}}={10}^{-{\mathrm{pH}}_{\mathrm{B}}}={10}^{-5} \\ \mathrm{or},\frac{[{\mathrm{H}}^{+}{]}_{\mathrm{A}}}{[{\mathrm{H}}^{+}{]}_{\mathrm{B}}}=\frac{{10}^{-6}}{{10}^{-5}}=\frac{1}{10}=1:10 \end{gathered}$$