Question

Rearrange the following equation and solve for x when the hydrogen ion concentration is 0.1 M. pH=5+logx (Recall that pH=−log[H+]. Use the hints if you do not obtain one of the answers.) View Available Hint(s) Rearrange the following equation and solve for when the hydrogen ion concentration is 0.1 . (Recall that . Use the hints if you do not obtain one of the answers.) x=0.50 x=1×10−3 x=1 x=1×10−4

Answer 1

x=1×10−4

Explanation:

we have

`ph=5+logx` -----> equation A

The pH of a given solution is the negative log base 10 of the concentration of hydrogen ions, H+

so

ph=-log[H+]

In this problem we have the concentration of hydrogen ions

[H+] =0.1 M

That means that the pH of the solution will be

ph=-log[0.1]

Rewrite

ph=-log[10^-1]

ph=-(-log10)

Remember that

log10=1

substitute

ph=-(-1)

ph=1

substitute the value of ph in equation A and solve for x

`1=5+logx`

`logx=1-5`

`logx=-4`

applying property of logarithms

`x=10^(-4)`