B. Consider the following at 25C, reaction When the initial to be 0.0130 M. of s
ID: 498738 • Letter: B
Question
B. Consider the following at 25C, reaction When the initial to be 0.0130 M. of so30g) 0.128 M concentration oogen gas at equilbriumis found a. Calculate the of Kc this reaction. for b. The value of Kp at 25 Cis what? c. a. What is the pH of a solution prepared by dissolving 050 g of Hclo. Mw.1onslin sufficient pure water to prepare 250.0 ml of solution? b. What is the pH of a solution prepared by dissolving 5.40 g of trimethylamine IN(CH) M.sot] sufficient pure water to prepare 250.0 ml of solution? inExplanation / Answer
1. The reaction is 2SO3<--->2SO2+O2
[SO3] initially = 0.128M, let x= concentration of oxygen at equilibrium
So at equilibrium [SO3] =0.128-2x, SO2= 2x and O2= x =0.0130
hecne at equilibrium [SO3] =0.128-2*0.013= 0.102M, SO2= 2*0.013=0.026
KC= [SO2]2 [O2] /[SO3]2= 0.026*0.026* 0.013/(0.102)2= 0.00084
KP=Kc*(RT)deltan, deltan= moles of products-moles of reactants= 2+1-2= 1
Kp= 0.00084*(0.0821*298)1 = 0.02055
2. HClO4 is strong acid and ionizes completely
moles= mass/molar mass
molarity of 0.540 gm of HClO4 in 250ml (250/1000L= 0.25L) = moles/Liter of solution = 0.54/(100.5*0.25)=0.0215
HClO4+H2O ------->H3O++ ClO4-
[H3O+] = 0.0215,
pH= -log (0.0215)= 1.67
trimethyl amine is weak base, molarity = 5.4/59.11*0.25= 0.365M
(CH3)3N+ H2O ---------> (CH3)3NH+ + OH-
Kb= [ (CH3)3NH+] [OH-]/[(CH3)3N]
let x= drop in concentration of trimethyl amine to reach equilibrium
at equilibrium [(CH3)3NH+] =0.365-x, [(CH3)3NH+] = [OH-] =x
hence x2/(0365-x)= 7.4*10-5, when solved using excel, [OH- ] = 0.00515, [H+] = 10-14/0.00515=1.94*10-12
pH= 11.71
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