is the hydrogen ion concentration of a pH 3.8 solution higher or lower than that of a solution with a pH of 6.2?

- anonymous

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- anonymous

wait explaing that a bit more if you dont mind

- Rogue

pH = - log(based 10) [H+]
[H+] = 10^(-pH)

- Rogue

Use the second to find your hydrogen ion concentrations, you'll observe that the one with the lower pH has more hydrogen ions.

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## More answers

- Rogue

For the solution with a pH of 3.8, [H+] = 10^-3.8 = 1.58 x 10^-4 M
For the solution with a pH of 6.2, [H+] = 10^-6.2 = 6.31 x 10^-7 M
The solution with a pH of 3.8 has a higher hydrogen ion concentration.

- anonymous

how about if one solution has 100 times as many hydrogen ions as another solution, what is the difference, in pH units between the two solutions?

- Rogue

10 to the what power gives you 100? :P

- anonymous

2 :P

- Rogue

So heres another question if you wanna try it: If the pH of a solution is 8.5, what is the pH of a solution that has a 10000 times greater hydrogen concentration?

- anonymous

ok you got me but is the second question i asked you would that be 2 or negative 2?

- Rogue

It would be 2.

- anonymous

how so?

- anonymous

or how would i show work sorry if im being annoying i jus dont understand this topic

- Rogue

Its not your fault, I'm not really showing any work/explaining, sorry. Lets assume that solution A has a [H+] concentration greater than solution B.
\[[H _{}^{+}]_{A}^{} = 10^{-pH _{A}^{}}\]
\[[H _{}^{+}]_{B}^{} = 10^{-pH _{B}^{}}\]

- Rogue

If we divide the two equations, we get that \[[H _{}^{+}]_{A}^{} / [H _{}^{+}]_{B}^{} =10^{-pH _{A}^{} + pH _{B}^{}} = 100\]

- anonymous

ok i can see that

- Rogue

\[10^{-pH _{A}^{} + pH _{B}^{}} = 100\]
Take the log based 10 of both sides:\[\log_{10}( 10^{-pH _{A}^{} + pH _{B}^{}} = 100)\] \[{-pH _{A}^{} + pH _{B}^{}} = 2\]

- anonymous

oh i see it now thanks! i am getting it a little now but if you dont mind i have about two other problems that need to be completed, but i dont exactly want you to do it for me but help me lead myself to an answer if you dont mind?

- Rogue

Sure, I'll help :)

- anonymous

alright thanks!!!!

- anonymous

if solution a contains 1 x 10^-6 MH+ ions and solution B contains 1 x 10^-8 MH+ ions, which solution contains more H+ ions

- Rogue

This question is just about your understanding of negative exponents I guess. Convert the numbers from scientific notation to standard notation to see which one is bigger.

- anonymous

ok dang i feel dumb now lol but do you know the relationship between hydrogen ion contrecations to the acidity and alklinity (basicity) of solution?

- Rogue

An easier way to do this problem would be to look at the pH's of each solution. If you look at the [H+] equation and compare it to the values they give, you'll notice that the first solution has a pH of 6 whilst the second has a pH of 8.

- anonymous

so would the ph of 6 be greater right?

- Rogue

Higher hydrogen ion concentration = lower pH = more acidity.
Lower hydrogen ion concentration = higher pH = more basicity.

- Rogue

Yup, the pH of 6 has more...

- anonymous

awesome!!!!!!!!!!!

- Rogue

You'll get the hang of these problems after a while. Remember the key concepts and those two equations.

- anonymous

HA is an acid that ionizes 10% in a solution. what is the H+ of a 0.01 M solution of HA? what is its pH?

- anonymous

would the ph be 1 or 2?

- anonymous

oh and thanks again for all the help

- Rogue

If 10% of the 0.01 M is ionized, how much H+ are there?

- anonymous

um yeah now ya got me

- anonymous

-2?

- Rogue

10% of 0.01 M is just 0.001 M, so that is you H+ concentration. pH = - log [H+] = - log (0.001) = 3

- Rogue

pH is often positive by the way, unless your dealing with a strong acid, or a super concentrated solution.

- anonymous

so would 3 be the pH or the HA? or the amount of H+?

- Rogue

pH = 3, H+ = 0.001 M

- Rogue

HA is just some arbitrary acid, H is for the hydrogen an acid has, and A is for acid.

- anonymous

when did you lean all this stuff?

- anonymous

or where?!

- Rogue

Last year, took ap chem :)

- anonymous

like a boss!!!!

- anonymous

alright so in this next problem it seems like its working backwards
what is the H+ of a solution whose pH is 8? what is the OH-?

- Rogue

Use these equations to help you:
pH + pOH = 14
pH = - log [H+]
pOH = - log [OH-]
[H+] = 10^-pH
[OH- ] = 10^-pOH

- Rogue

So for the first part, [H+] = 10^-8 M. For the second part, you get pOH = 6, so then [OH-] = 10^-6 M

- Rogue

I've got an ap bio final tomorrow, so I gotta go to sleep. Try to solve your problems using the equations I gave you, good luck! :D

- anonymous

alright good luck on your final and thanks!

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