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n=Vs/Va, Vs=6,72dm3; Va=22,4dm3/mol, V=3dm3
n=6,72/22,4=0,3mol
Cm=n/V=0,3/3=0,1mol/dm3
NH3*H2O<=>NH4^(+)+OH^(-)
K=[NH4^(+)]*[OH^(-)]/[NH3*H2O]
[NH4^(+)]=[OH^(-)]=x
[NH3*H2O]=Cm-x
K=x^2/(Cm-x)
K*Cm-Ka*x=x^2
-x^2+K*Cm-K*x
a=-1; b=-K; c=K*Cm
delta=b^2-4*a*c
delta=(-K)^2-4*(-1)*K*Cm
=
=0,0026833
x1 jest wiec nasza wartoscia szukana gdyz stezenie nie moze byc ujemne
pOH=-log[OH^(-)]
pH+pOH=14
pH=14-pOH
pH=14+log[OH^(-)]=14+log(0,00133265)=11,125
jezeli w zadaniu dobrze przyjalem wartosc stalej gdyz w tresci brakuje wartosci potegi stalej dysocjacji
zad2.
NaOH->Na^(+)+OH^(-)
[OH^(-)]=Cm
pH=13, czyli [H^(+)]=10^(-13), [OH^(-)]=10^(-1)
V1=100cm3=0,1dm3,
n=Cm*V1=0,1*0,1=0,01mol
Vx=100+300=400cm3=0,4dm3
Cmx=n/Vx=0,01/0,4=0,025mol/dm3
Cmx=[OH^(-)] juz w rozcienczonym roztworze
pH=14+log[OH^(-)]=14+log(0,025)=12,4