Automobiles and trucks pollute the air with NO. At 2000.0°C, Kc for the reaction N2(g)+O2(g)⇌2NO(g) At 2000.0°C Kc = 4.100 × 10–4 and ΔH° = 180.6 kJ. What is the value of Kc at 31.00°C?
Use Van't Hoff equation
lnK2K1=−ΔHR(1T2−1T1)ln\frac{K_2}{K_1}=\frac{-\Delta H}{R}(\frac{1}{T_2}-\frac{1}{T_1})lnK1K2=R−ΔH(T21−T11)
T1(K)=2000.0+273=2273KT_1(K)= 2000.0 + 273= 2273 KT1(K)=2000.0+273=2273K
T2(K)=31.00+273=304.KT_2(K) = 31.00+273=304.KT2(K)=31.00+273=304.K
ΔH=180.6kJ=180600J\Delta H = 180.6 kJ = 180600JΔH=180.6kJ=180600J
K1=4.100×10−4K_1 = 4.100\times10^{-4}K1=4.100×10−4
K2−?K_2 - ?K2−?
lnK24.100×10−4=−1806008.314(1304−12273)ln\frac{K_2}{4.100\times 10^{-4}}= \frac {-180600}{8.314}(\frac{1}{304}-\frac{1}{2273})ln4.100×10−4K2=8.314−180600(3041−22731)
K2=1.886×10−26K_2 = 1.886\times10^{-26}K2=1.886×10−26
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