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Multiple Choice
Using standard enthalpy and entropy values, calculate ΔG for the production of NH4NO3 at 20.0℃. 2 NH3 (g) + 2 O2 (g) → NH4NO3 (s) + H2O (l)
A
−720.1 kJ
B
160.5 kJ
C
−511.4 kJ
D
−559.6 kJ
E
−399.0 kJ
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1
Identify the reaction and the given values: The reaction is 2 NH3 (g) + 2 O2 (g) → NH4NO3 (s) + H2O (l). The given enthalpy change (ΔH) is -399.0 kJ.
Understand the relationship between Gibbs free energy (ΔG), enthalpy (ΔH), and entropy (ΔS) using the equation: ΔG = ΔH - TΔS, where T is the temperature in Kelvin.
Convert the given temperature from Celsius to Kelvin: T(K) = 20.0°C + 273.15 = 293.15 K.
Use the standard enthalpy and entropy values provided to calculate ΔS for the reaction. Note that ΔS is typically given in J/mol·K, so ensure units are consistent when using the equation.
Substitute the values of ΔH, T, and ΔS into the Gibbs free energy equation to solve for ΔG. Remember to convert ΔS to kJ/mol·K if necessary to match the units of ΔH.