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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

Respuesta :

calculista

Answer:

x=1×10−4

Step-by-step explanation:

we have

[tex]ph=5+logx[/tex] -----> 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

[tex]1=5+logx[/tex]

[tex]logx=1-5[/tex]

[tex]logx=-4[/tex]

applying property of logarithms

[tex]x=10^{-4}[/tex]