The beakers shown contain 0.300 L of aqueous solutions of a moderately weak acid
ID: 229937 • Letter: T
Question
The beakers shown contain 0.300 L of aqueous solutions of a moderately weak acid HY. Each particle represents 0.0200 mol; solvent molecules are omitted for clarity. Protons are smaller and light blue. Oxygen atoms are red. Therefore, hydronium ions are red with three light blue hydrogen atoms Hint Solution Guided Solution points eBook (a) The reaction in beaker A is at equilibrium. Caleulate Q for B, C, and D to determine which, if any, are also at equilibrium. Print 0c" 2D- O Bisat equilibrium C is at equilibrium. D is at equilibrium. O (b) For any not at equilibrium, in which direction does the reaction proceed? B proceeds to the right. Bproceeds to the left. C proceeds to the right. C proceeds to the left. D proceeds to the right. Dproceeds to the left.Explanation / Answer
a) HY +H2O <--->H3O+ + Y-
note: # of red-blue=# of H3O+=# y-(green only)
(# of greens+ green blue) - (# of red -blue) = # of HF
At equilibrium, [Y-]=[H3O+]=4*0.02mol=0.08mol
# of HY(green -blue)=total (green+green blue) -(red-blue)=11-4=7
[HY]=0.02*7=0.14mol
Keq=[Y-][H3O+]/[HY]=(0.08mol)(0.08mol)/0.14mol=0.04
equilibrium constant=0.04
For B,
# of red-blue=2=# of H3O+=# of Y-
mol of H3O+ and Y-=2*0.02=0.04mol
# of HY=7-2=5
mol of HY=5*0.02=0.1
QB=[H3O+][Y-]/[HY]=(0.04)(0.04)/(0.1)=0.016
For C,
# of red-blue=2=# of H3O+=# of Y-
mol of H3O+ and Y-=2*0.02=0.04mol
# of HY=6-2=4
mol of HY=4*0.02=0.08
QC=[H3O+][Y-]/[HY]=(0.04)(0.04)/(0.08)=0.02
For D,
# of red-blue=2=# of H3O+=# of Y-
mol of H3O+ and Y-=2*0.02=0.04mol
# of HY=4-2=2
mol of HY=2*0.02=0.04
QD=[H3O+][Y-]/[HY]=(0.04)(0.04)/(0.04)=0.04=Keq
Thus QD =Keq so D is at equilibrium
b) QC=0.02<Keq=0.04 ,so C proceeds to the left
QB=0.016<Keq=0.04 ,so B proceeds to the left
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