Ozone (O3) in the atmosphere can react with nitric
oxide (NO):
O3(g) + NO(g) --> NO2(g) +
O2(g). ( ΔH° = –199 kJ/mol, ΔS° = –4.1
J/K·mol)
Write answers to three significant figures.
a. Calculate the ΔG°( kJ/mol) for this reaction at 25°C.
b. Determine the temperature(oC) at which the reaction is at equilibrium.
a. We know that free energy change
Where
=Standard enthalpy change for reaction=-199 kJ/mol
=Standard
entropy change for reaction=-4.1 J/K.mol
T=Temperature (K)=25°C=25+273 K=298 K
So
=-199 kJ/mol-298 K(-4.1 J/K.mol)/1000 J/kJ (1 kJ=1000 J)
=-199 kJ/mol+1.2218 kJ/mol
=-197.7782 kJ/mol
≈-198 kJ/mol
b. At equilibrium free energy change=0
i.e.
-199 kJ/mol=Tx (-4.1 J/K.mol)
T=-199 kJ/mol/-4.1 J/K.mol
=(-199 kJ/molx1000 J/kJ)/-4.1 J/K.mol
=48536.6 K
=48536.6 K-273 K=48236.6 °C
≈4.82 x 104 °C
Ozone (O3) in the atmosphere can react with nitric oxide (NO): O3(g) + NO(g) --> NO2(g) +...
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