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The first and second ionization constants ofH 2 CO 3 are 4.2×10 -7 and4.8×10 -11

ID: 687969 • Letter: T

Question

The first and second ionization constants ofH2CO3 are 4.2×10-7 and4.8×10-11. Calculate the concentrations ofH+ ion, HCO3-,CO32- and undissociatedH2CO3 in a 0.080 MH2CO3 solution Matching pairs: [H2CO3] — [HCO3-] — [CO32-] — [H+] — the answer choices for each have these macthing pairs with ofthese could be the answer 0.080M 1.83 * 10 ^-4M 4.8*10^-11M Matching pairs: [H2CO3] — [HCO3-] — [CO32-] — [H+] — the answer choices for each have these macthing pairs with ofthese could be the answer 0.080M 1.83 * 10 ^-4M 4.8*10^-11M Matching pairs: [H2CO3] — [HCO3-] — [CO32-] — [H+] —

Explanation / Answer

    H2CO3 is a WeakAcid So it cannot decompose completely .    The concentration of the given species arecalculated by using ICE table                     H2CO3 (aq)<--------->         HCO3- (aq)+H+(aq) I(M)    0.08                                      0.00            0.00 C(M)    -x                                           +x               +x E(M)    0.08-x                                     x                  x                                                          Ka1 =0.08-x                                      4.2×10-7 =x2/0.08-x                                       x =1.83*10-4 M        So the concen tration ofthe H+ ion, HCO3- matcheswith  x =1.83*10-4 M      Onceagain   HCO3- (aq) is alsodecompose in the same way.                      HCO3-(aq)<---------->H+(aq)+CO32- (aq)           I(M)   1.83*10-4M                0.00          0.00         C(M)        -x                            +x               +x         E(M)       (1.83*10-4 -x)             x                 x                                  Ka2 =x2/ (1.83*10-4 -x)                                 (4.8×10-11) =x*1.83*10-4 -x)  / (1.83*10-4 -x)                               Therefore[CO32- ] =4.8×10-11               The concentration of the given species are                [H2CO3] = 0.080M                 [ HCO3-]=1.83*10-4 M                 [CO32-] = 4.8×10-11                     [H+]  =1.83*10-4 M               The concentration of the given species are                [H2CO3] = 0.080M                 [ HCO3-]=1.83*10-4 M                 [CO32-] = 4.8×10-11                     [H+]  =1.83*10-4 M                                                     
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