1. a) 13.5897 g of AgNO3 is dissolved in 4.0 L of solution
the molar mass of AgNO3 is 169.87 g/mol
molarity of AgNO3 is 13.5897/(4x169.87) = 0.2044 mol/lit
b) 24.3762 g of is dissolved in 2.0 L of solution
the molar mass of NaCl is 58.44 g/mol
molarity of NaCl is 24.3762/(2x58.44) = 0.2085 mol/lit
2. a) The reaction is Ag(NH3)2+ (aq) + Cl-(aq) AgCl(s) + 2NH3(aq)
K (equilibrium constant) = [NH3]eq2/[Ag(NH3)2+]eqx[Cl-]eq
no of moles of Ag(NH3)2+ at equilibrium = no of moles of Ag+ (AgNO3) added = 0.2044x12.7/1000 mol = 2.596x10-3 mols (For T1)
0.2044x15.2/1000 mol = 3.1069 x10-3 mols (For T2)
0.2044x11.3/1000 mol = 2.3097 x10-3 mols (For T3)
no of moles of NH3 at equilibrium is = initial mol of NH3 - mol of NH3 reacted (2Xmol of Ag+)= 1.003-2x2.596x10-3 = 0.9978 mols (For T1)
=1.003-2x3.1069x10-3 = 1.0004041 mols = 0.9968 (For T2)
= 1.003-2x2.3097x10-3 = 1.0004041 mols =0.99838 (For T3)
no of moles of Cl- at equilibrium is = initial mol of Cl- (very little Cl- has reacted)
= 0.417 mols
since the the two of considerable reactant Ag(NH3)2+ (aq) and Cl-(aq) produce two of the considrable product 2NH3(aq) (AgCl is in solid phase, so its activity is 1 and not considered n reaction volume) i.e. molecularity of reactant = molecularity of product, the volume term in equilibrium constant expression will vanish
substituting in the equation
K1 = (0.9978 mols)2/(2.596x10-3 mols x 0.417mols) = 919.7 (for T1)
K2 = (0.9968 mols)2/(3.1069x10-3 mols x 0.417mols) = 766.9
K3 = (0.9983 mols)2/(2.3097x10-3 mols x 0.417mols) = 1035
b) Avarage value of K = (919.7 + 766.9 + 1035)/3 = 907.1
c) since the equilibrium constant is larger than 1, the equilibrium is more towards the product
thus the reaction is feasible
3. since K = k2/k1 = 907.1
where k2 is the rate constant for binding of Cl- ions with Ag+
and k1 is the rate constant for binding of Cl- ions with Ag+
Cl- ions have 907 times more affinity to bind with Ag+ ions compared to NH3 molecules
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