Diagnostic from class ( note only 3 of the 4 select problems were worked through for your convenience) 1) Given that 0.2 M of 0.2 L KCl reacted with 0.175 M of 0.15 L potassium chloride, find the concentration of the resulting aqueous solution. 2KCl(aq) + Pb(NO3)2(aq)PbCl2(s) + 2KNO3(aq) 0.2 L 0.1M 0.15L 0.175 M 0.35 L C? NKCl= 0.1 M x 0.2L = 0.02 mol (available) 0.02 mol KCl x 1 Pb(NO3)2 = 0.01 mol Pb(NO3)2 reacted 2 KCl NPb(NO3)2= 0.175 M x 0.15 L = 0. 03 mol (available) nPb(NO3)2 (excess) since n available > n reacted (0.02 mol remains unreacted) KCl is the limiting reagent 0.02 mol KCl x 2 mol KNO3 = 0.02 mol KNO3 produced 2 mol KCl [KNO3] = n/v = 0.02 mol/0.35 L= 0.057 0.06 M (1 sig digit) 2) Sodium carbonate reacts with barium nitrate. Find the minimal mass of sodium carbonate needed to precipitate all the barium ions from solution with the reaction of 0.40 L of 0.120 M barium nitrate. Na2CO3(aq) + Ba(NO3)2 2NaNO3(aq) + BaCO3(s) m 0.40 L 0.12 M nBa(NO3)2= 0.12 M x 0.4 L= 0.06 mol (available0 nNa2CO3 = 0.06 mol Ba(NO3)2 x 1 mol Na2CO3(aq)= 0.06 mol Na2CO3(aq) is needed to react with this quantity 1 mol Ba(NO3)2 mass (m) Na2CO3= 0.06 mol (105.99 g/mol)= 6.36 g 6.4 g (2 significant digits) 3) What mass of Lead (II) iodide would precipitate if 100 ml of 0.10 M Lead (II) nitrate, is added to 100 ml of 0.10 M ammonium iodide, NH4I? 2NH4I (aq) + Pb(NO3)2(aq) PbI2(s) + 2NH4NO3 0.1L 0.10 L 0.1 M 0.1M nNH4I = 0.1 M x 0.1 L = 0.01 mol (available) (limiting reagent) n pb(NO3)2= 0.1 M x 0.1L = 0.01 mol (available) only 0.005 mol of which reacted (2:1 ratio, half as much reacted) 0.05 mol( excess remains unreacted) nPbI2= 0.01 mol NH4I x 1 mol PbI2 = 0.005 mol PbI2 (produced) 2 mol NH4I (if used mol of Pb(NO3)2 in mol ratio caclulation instead of PbI2 as above, the value would have been larger and grocely overestimated. Mass PbI2 M= 0.005 mol x 462 g/mol PbI2= 2.3 g PbI2