The K_(sp) of Ag_(2)CrO_(4), AgCl, A gBr and AgIare respectively 1.1xx10^(-12), 1.8xx10^(-6), 5.0xx10^(-13) and 8.3xx10^(-17). Which one of the following salts will precipitate last if AgNO_(3)solution is added to the solution containing equal moles of NaCl, NaBr, NaI and Na_(2)CrO_(4)?

The K_(sp) of Ag_(2)CrO_(4), AgCl, A gBr and AgIare respectively 1.1xx

1.	The K_(sp) of Ag_(2)CrO_(4), AgCl, A gBr and AgIare respectively 1.1xx10^(-12), 1.8xx10^(-6), 5.0xx10^(-13) and 8.3xx10^(-17). Which one of the following salts will precipitate last if AgNO_(3)solution is added to the solution containing equal moles of NaCl, NaBr, NaI and Na_(2)CrO_(4)?
Answer» AgBr<BR>`Ag_(2)CrO_(4)` AgI AgCl Solution :`Ag_(2)CrO_(4)hArr2Ag+CrO_(4)^(2-), K_(sp)=(2s)^(2)xxs=4s^(3), s=((K_(sp))/(4))^(1//3)=((1.1xx10^(-12))/(4))^(1//3)` `=0.65xx10^(-4)` `AgCl HARR Ag^(+)+Cl^(-),K_(sp)=sxxs=s^(2)`, `s=sqrt(K_(sp))=sqrt(1.8xx10^(-10))=1.34xx10^(-5)` `AgBr hArr Ag^(+)+Br^(-), K_(sp)=sxxs=s^(2)`, `s=sqrt(K_(sp))=sqrt(5.0xx10^(-13))=0.71xx10^(-6)` `AgI hArr Ag^(+)+I, K_(sp)=sxxs=s^(2)`, `s=sqrt(K_(sp))=sqrt(8.3xx10^(-17))=0.9xx10^(-8)` As solubility of `Ag_(2)CrO_(4)` is highest, it will be PRECIPITATED last of all.