Q.

9.8×107g  H3PO4  is dissolved in 100mL of a buffer solution of  pH=5 (Provides constant concentration of  H+) If the equilibrium concentrations of  H3PO4,H2PO4,HPO42 and PO43 are  C1,C2,C3 and  C4 respectively. Then  PC1+PC2+PC3+PC4= _________(Round off to nearest integer)
 (pCi=logCi;  where  i=1,2,3,4  )  Given: For   H3PO4,  Ka1=103,Ka2=108,Ka3=1012

Since ka1>>ka2 and ka3

using the approximation

 H3PO40=H3PO4+H2PO4- H3PO40=Initial concentration of acid

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answer is 43.

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Detailed Solution

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[H3PO4]0=107

a)  Ka1=105[H2PO4][H3PO4]=103          [H2PO4]=102[H3PO4]           But[H3PO4]o=[H2PO4]+[H3PO4]          107=102[H3PO4]+[H3PO4]102[H3PO4]        C1=[H3PO4]=107(102+1)109M

b)  C2=[H2PO4]=102×109=107M

c) Ka2=105[HPO42][H2PO4]=108

C3=[HPO42]=103×107=1010

d)  Ka3=105[PO43][HPO42]=1012      C4=[PO43]=107×1010=1017       PC1+PC2+PC3+PC4=9+8+10+17=44

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