pH
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Concentration
How much of a given substance is mixed within
(or dissolved in) another substance
For example, some people buy frozen orange
juice concentrate from the store, then mix it with
water to make drinkable juice
Acids and Bases
Consider acids and bases to be extremes, the
way hot and cold are extremes for temperature
pH is a way to measure those extremes
Concentration and pH
Water molecules collide with one another and
ionize each other in the following reaction:
2 H2O → H3O+ + OH-
The concentration of ions is measured in units
called “Molarity” or moles per liter (M).
1 mole = 6.02 x 1023 water molecules, or about
18 mL of water.
Logarithms
A number written in scientific notation (as ion
concentrations often are) has a coefficient
multiplied by a power of ten
Example: 1.0 x 10-7
A logarithm is the exponent that you have to
raise a number to, to make it equal another
number:
bx = y b = base, x = exponent, y =
answer
In our example, b = 10, x = -7, y = 0.0000001
The logarithm = -7
Definition of pH
pH means “power of concentration of hydrogen
ion”
pH is equal to the negative log of hydrogen ion
concentration
Neutral Water
The ionization of water is reversible, so at any
given time, the H3O+ concentration is 1.0 x 10-7
moles per liter (M).
The pH comes from the exponent—in neutral
water, the pH is 7 (the negative log of 1 x 10-7 = 7)
Acidic Solutions
Have a pH below 7, so a concentration of
1.0 x 10-6, 1.0 x 10-5, etc.
The smaller the digit in the exponent, the more
acidic
Basic Solutions
Have a pH above 7, so a concentration of
1.0 x 10-8, 1.0 x 10-9, etc.
The larger the digit in the exponent, the more
basic
The highest pH is 14
Basic Solutions
If the concentration is 1.0 x 10-x, pH is easy!
The answer is simply x
Ex: 1.0 x 10-13 pH = 13
1.0 x 10-2 pH = 2
What if the concentration is 2.5 x 10-7?
pH cannot = 7, because the coefficient is not
1.0
Solving pH on a calculator
There is a button on the calculator for entering
exponents: either EE or EXP, normally
For some calculators, it may be a 2nd function
key
Enter the concentration as 2.5 EE -7
Solving pH on a calculator
After entering the concentration, hit the log
button
Solving pH on a calculator
You should have a negative number, with
decimals
Press the (-) button (sometimes +/-) on the
calculator to get the final answer, or just take
the absolute value
Example
What is the pH of a substance with 3.2 x 10-7 M?
Enter 3.2 EE -7 on your calculator
Press “log” button
Answer = 7.5 (slightly basic)
pOH
This is the OH- ion concentration
The pH and pOH should add up to 14
An acid that has a pH of 3 has a pOH of 11
A base with a pH of 12 has a pOH of 2
Neutral water has a pH of 7 and a pOH of 7
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