Log problems

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ZoeMarkson

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pOH = -log([OH–])
pOH = -log(0.01)
pOH = 2

How do you do this without a calculator?
 
1. You got to the point of having pOH = -log(0.01)
2. Now change the 0.01 to scientific notation, which is 1x10^-2. So you have pOH = -log(1x10^-2)
3. The negative log of 1x10^-2 is 2 (this is a principle you must memorize and get used to. Whenever you have 1x10^[negative exponent], then the negative log of it is just the exponent but positive)

Make sense? If not, watch Chads Videos.
 
1. You got to the point of having pOH = -log(0.01)
2. Now change the 0.01 to scientific notation, which is 1x10^-2. So you have pOH = -log(1x10^-2)
3. The negative log of 1x10^-2 is 2 (this is a principle you must memorize and get used to. Whenever you have 1x10^[negative exponent], then the negative log of it is just the exponent but positive)

Make sense? If not, watch Chads Videos.


Yeah, yay thank you it makes much sense now
 
Another quick trick with logs that will help tremendously in Gchem: any H+ concentration with 3.16 x 10^x M will have a pH of x-0.5. For example, 3.16 x 10^5 M of H+ will have pH of 4.5. 3.16 seems to be the dividing line between x and x-1. So using this, you can estimate a lot of other arbitrary logs, like 6.5 x 10^8 M of H+ will have a pH of ~ 7.2 (pH is closer to 7 than 8) since 6.5 is around half way between 3.16 and 10.
 
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