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A solution of buffer contains 0.5 M of acetic acid and 0.5 Mof sodium acetate. p

ID: 688290 • Letter: A

Question

A solution of buffer contains 0.5 M of acetic acid and 0.5 Mof sodium acetate. pH change will be upon adding 1.0 ml of0.25 M HCl to 10 ml of this solution(ka=1.75x10-5) (The answer is 0.044, can you please explain what equation touse and how to work the problem, simplicty would be greatly appreciated, thanks 0 A solution of buffer contains 0.5 M of acetic acid and 0.5 Mof sodium acetate. pH change will be upon adding 1.0 ml of0.25 M HCl to 10 ml of this solution(ka=1.75x10-5) (The answer is 0.044, can you please explain what equation touse and how to work the problem, simplicty would be greatly appreciated, thanks 0

Explanation / Answer

Formula:                  pH = pKa + log [base] / [acid] Data:                 [base]= 0.5 M                [acid] = 0.5 M                      Ka=  1.75x10-5                  pKa = 4.75     Upon substituting the data in theformula,                    pH = 4.756 + log ( 0.5 / 0.5 )                          =4.756 Number of moles of sodium acetate = 0.5 M * 0.01L                                                        = 0.005 moles Number of moles of aceticacid       = 0.5 M * 0.01L                                                       =0.005 moles Number of moles of HCl   = 0.001 L * 0.25M                                         = 0.00025 moles          Chemical equation:                                              CH3COO- (aq)   +H+ (aq)  ---------------->   CH3COOH (aq) Before rxn    (moles)          0.005                                                                    0.005                                                                         0.00025 After rxn       (moles)         0.005 -0.00025                                                   0.005 + 0.00025                                                =  0.00475                                                            = 0.00525
As volume is common for both the species, concentration can bereplaced by number of moles.

Upon substituting the data in to the formmula,                                             pH = 4.756 + log ( 0.00475 / 0.00525 )                                                    = 4.712                                            pH = 4.756 - 4.712                                                     =0.044
Hope it will help you.
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