Sample Problem 17.9
(continued)
(0.500 - x) = 4.80 x 10-1 M
Assume x is << 0.500 so that we can drop x in the denominator.
4.15 x 10-4 = x2
x 2.0 x 10-2 M
CHECK: 0.020/0.500 = 0.04 or 4% percent error (simplification is justified)
Dropping the x gives a value of x = 2.9 x 10-3 M. (0.010 - x) 0.0071 M
CHECK: 0.0029/0.010 = 0.29 or 29% percent error (simplification not justified)
Must use the quadratic formula to solve: yields x = 2.5 x 10-3 M and 0.0100 - x = 7.5 x 10-3 M.
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