Answer to Question #98739 in General Chemistry for Joe

Question #98739
Q
0.100 mol SO2
and 0.100 mol O2
are introduced into an
evacuated 1.52 L flask at 900 K. When equilibrium is
reached, the amount of SO3
found is 0.0916 mol. Use this
data to determine Kp for the reaction.
2SO2
(g) + O2
(g) 2SO3
1
Expert's answer
2019-11-18T06:29:05-0500
2SO2+O2=2SO32SO_2 + O_2 = 2SO_3

[SO3]=0.0916mol/1.52L=0.0603M[SO_3] = 0.0916mol/1.52L = 0.0603 M

[SO2]=0.100mol/1.52L0.0603M=0.0055M[SO_2] = 0.100mol/1.52L - 0.0603M = 0.0055M

[O2]=0.100mol/1.52L0.0603/2M=0.0356M[O_2] = 0.100mol/1.52L - 0.0603/2M = 0.0356M


Kc=[SO3]2[SO2]2[O2]K_c = {[SO_3]^2 \over [SO_2]^2[O_2]}

Kc=(0.0603)2(0.0055)2(0.0356)=3.367103K_c = {(0.0603)^2 \over (0.0055)^2(0.0356)} = 3.367*10^3

Kp=Kc(RT)221=Kc(RT)1=KcRTK_p = K_c(RT)^{2-2-1} = K_c(RT)^{-1} = {K_c \over RT}

Kp=3.3671038.314900=0.4500K_p = {3.367*10^3 \over 8.314*900} = 0.4500

Answer: 0.4500


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