
Cali M.
asked 03/29/22Molarity Solutions
How many moles of C12H22O11 are there in 2.93 L of a .500 M solution
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1 Expert Answer
J.R. S. answered 03/29/22
Tutor
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Ph.D. University Professor with 10+ years Tutoring Experience
Dimensional analysis:
0.500 M = 0.500 moles / L
2.93 L x 0.500 mol / L = 1.465 moles = 1.47 moles (3 sig. figs.)
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Stanton D.
So Cali, what units are on that 0.500 _M_ ? How can you achieve those *units* using moles and L (your physical variables!)? Think: mathematical operations. You are now using "dimensional analysis", which is a fancy term for knowing what to do simply by fiddling with the units in a problem. It works a treat. Because, every time you do a mathematical operation in a problem, both the value AND THE UNITS must get carried along. SO if you do operations (add, subtract, multiply, divide, etc.) you do them to BOTH the values and the units they are expressed in. So you can just look at the units and know if you did the right thing. For example, if you wanted liters/mole and you got moles/L, you know that you multiplied when you should have divided, etc. -- Cheers, --Mr. d. P.S. Conversely, if you DON'T keep track of units throughout a problem, you are "asking" for trouble. So always write down all numbers in a problem WITH THEIR UNITS and carry the units through all the calculations.03/29/22