Logarithm - Answers


1.

a. 0.912

b. 0.2180

c. -2.3082

d. -6.00

e. -9.35

2.

a. 7.640

b. 5.53 x 101

c. 6.90 x 10-4

d. 1.21 x 10-7

e. 10-126

3.

a. 886

b. 7.07 x 101

c. -1.6 x 10-3

4.

a. 1.3 x 102

b. 7.6 x 101

c. 2.1

5.

a. -3.80

b. -1.90

c. -7.60

6.

a. log x - log y

b. log x 1 log y

c. log x 1 2 log y

7. log x = 2 log y - log z

8. a. y = 12.4 - 2.0 log 38/5 = 12.4 - 3.2(log 3) = 10.9

b.

9.

a. 1.796

b. 2.000

c. -9.69

10.

a. 2.72

b. 8.21 x 10-2

c. 4.084 x 105

11.

a. 6.00

b. 1.583

c. 8.52

d. -0.78

12.

a. 1 x 10-4

b. 2.5 x 10-13

c. 7.2 x 10-4

d. 10

13. conc. H1 = 1.0 x 10-4

conc. S2- = (1 x 10-21)/(1 x 10-8) = 1 x 10-13

14. Take the logarithms of both sides:

log (conc. H1) 1 log(conc. OH-) = -14.00

-pH - pOH = -14.00; pH 1 pOH = 14.00

15. Take the logarithm of both sides:

log Ka = 2 log(conc. H1) - log(conc. HAc)

log Ka = -2pH - log(conc. HAc)

16. a. E = 10.75 V 1 1.6(0.0591) log(conc. H1)

= 10.75 V - 0.0946 pH

b. 10.47 V

c. 2.6

17. f = 1.76 x 10-2


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