Question

9. Consider the equation pH = -log[4], where (H+) is the concentration of hydrogen ions in mol/L. What is the difference in pH between a solution with [14] -0.006 mol/L and a solution with (H+) = 0.0001 mol/L? Mark Value: 2 10. What is the relationship between an exponential function and a logarithmic function? What happens to the domain and range between an exponential and logarithmic function? Name two other characteristics between them that change in the same way. Mark Value: 2

Answer 1

Date i i to PCH) = -log [H+] oth *1 = 0.006 moell = 6xlos - PH) = -log [ 6x10 37 2 E -log (6) - log Tio 3) = -0,778 +3 109.lº - 0,778 +30 PH) = 2,22 (clog lo=1 38 (H+= 0.0001 mol/La 104 PH) - - leg. 10“) - - (-4) 109.lo TPH = 4T 710 Exponential the logarithmich are called inverse fr of each other. This meaus each one is the Reflection of the other in line y=u. L exp. fh is defined for p upil all n'. e it is increasing thn. - only for a xo. but it is increasing for u> 1 I & decreasing for oLULI, s logs of produets involve addition and products of exponentials involve addition. L Asymptate for log.ft is vertical and for eap. th is horizontal