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a. The pKa of acetic acid is 4.7. What is the buffering range of this acid and i

ID: 1008996 • Letter: A

Question

a. The pKa of acetic acid is 4.7. What is the buffering range of this acid and its conjugate base? Explain your answer. b. Calculate the volume of 6 M acetic acid needed to prepare 100 mL of a 0.10 M acetic acid (CH3COOH) solution. c. Calculate the mass of sodium acetate (CH3COONa) required to prepare 50 mL of a 0.10 M sodium acetate solution. d. Calculate the volume of 1 M sodium hydroxide (NaOH) needed to prepare 10 mL of a 0.10 M sodium hydroxide solution. e. Calculate the volume of 1 M hydrochloric acid (HCl) needed to prepare 10 mL of a 0.10 M hydrochloric acid solution. f. Determine the volumes of 0.10 M CH3COOH and 0.10 M CH3COONa required to prepare 10 mL of the following pH buffers. (Note: the pKa of CH3COOH =4.7) a. pH 3.7 b. pH 4.7 c. pH 5.7

Explanation / Answer

Buffer solution resists change of pH to the capacity of +/- 1.

pH=pka+/- 1

B) M1*V1=M2*V2

M1=6M

V1=?

M2=0.10M

V2=100 ml

V1=M2 V2/M1=0.10*100/6=1.7 ml

C) moles of  sodium acetate (CH3COONa) required=molarity*volume=0.1 mol/L*0.050 L=0.005 moles

Mass of  sodium acetate (CH3COONa) reqd=0.005 moles*molar mass=0.005 mol*82.02g/mol=0.410g

D)M1 *V1=M2*V2

M1=0.1M

V1=10ml

M2=1M

V2=M1V1/M2=0.1 M*10ml/1M=1 ml

E)M1 *V1=M2*V2

M1=0.1M

V1=10ml

M2=1M

V2=M1V1/M2=0.1 M*10ml/1M=1 ml

F)a) pH=pka+log[base]/[acid]  [henderson -hasselbach eqn)

3.7=4.7 +log[base]/[acid]

log[base]/[acid]=-10

[base]/[acid]=10^-10

0.10M*Vb/0.10M*Va=10^-10

Vb/Va=10^-10

Va+Vb=10 ml

Va=1/(1+10^-10) *10 ml=10 ml (almost)

Vb=10^-10/(1+10^-10)*10ml=10^-10 ml

B)4.7=4.7+llog[base]/[acid]

0=log[base]/[acid]

10^0=1=[base]/[acid]

[base]/[acid]=1

[base]=[acid]

0.1M*Va=0.1 M*Vb

Va=Vb=5ml

C) 5.7=4.7+log[base]/[acid]

10=og[base]/[acid]

[base]/[acid]=10^10

Vb/Va=10^10

VB=10^10/(1+10^10)*10 ml=10ml (approx)

Va=1/(1+10^10*10ml)*10ml=10^-9 ml

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