The chemistry of nitrogen oxides is very versatile. Given

Chapter 5, Problem 82P

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QUESTION:

The chemistry of nitrogen oxides is very versatile. Given the following reactions and their standard enthalpy changes,

\(\mathrm{NO}(\mathrm{g})+\mathrm{NO}_{2}(\mathrm{~g}) \rightarrow \mathrm{N}_{2} \mathrm{O}_{3}(\mathrm{~g}) \quad \Delta \mathrm{H}_{\mathrm{rxn}}^{\circ}=-39.8 \mathrm{~kJ}\)

\(\mathrm{NO}(\mathrm{g})+\mathrm{NO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{N}_{2} \mathrm{O}_{5}(\mathrm{~g}) \Delta \mathrm{H}_{\mathrm{rxn}}^{\circ}=-112.5 \mathrm{~kJ}\)

\(2 \mathrm{NO}_{2}(\mathrm{~g}) \rightarrow \mathrm{N}_{2} \mathrm{O}_{4}(\mathrm{~g}) \quad \Delta \mathrm{H}^{\circ}{ }_{\mathrm{rxn}}=-57.2 \mathrm{~kJ}\)

\(2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{NO}_{2}(\mathrm{~g}) \quad \Delta \mathrm{H}_{\mathrm{rxn}}^{\circ}=-114.2 \mathrm{~kJ}\)

\(\mathrm{N}_{2} \mathrm{O}_{5}(\mathrm{~s}) \rightarrow \mathrm{N}_{2} \mathrm{O}_{5}(\mathrm{~g}) \quad \Delta \mathrm{H}_{\mathrm{rxn}}^{\circ}=54.1 \mathrm{~kJ}\)

       calculate the heat of reaction for

        \(\mathrm{N}_{2} \mathrm{O}_{3}(\mathrm{~g})+\mathrm{N}_{2} \mathrm{O}_{5}(\mathrm{~s}) \rightarrow 2 \mathrm{~N}_{2} \mathrm{O}_{4}(\mathrm{~g})\)

Equation Transcription:

NO(g) + NO2(g) N2O3(g)                 rxn  = -39.8 kJ

NO(g) + NO2(g) + O2(g) N2O5(g)         rxn = -112.5 kJ

2NO2(g) N2O4(g)                         rxn = -57.2 kJ

2NO(g) + O2(g) 2NO2(g)                 rxn = -114.2 kJ

N2O5(s) N2O5(g)                         rxn  = 54.1 kJ

N2O3(g) + N2O5(s) 2N2O4(g)

Text Transcription:

NO(g) + NO_2(g) rightarrow N_2O_3(g)                 Delta H°_rxn  = -39.8 kJ

NO(g) + NO_2(g) + O_2(g) rightarrow N2O5(g)         Delta H°_rxn = -112.5 kJ

2NO_2(g) rightarrow N_2O_4(g)                         Delta H°_rxn = -57.2 kJ

2NO(g) + O2(g) rightarrow 2NO_2(g)                 Delta H°_rxn = -114.2 kJ

N_2O_5(s) rightarrow N_2O_5(g)                         Delta H°_rxn  = 54.1 kJ

N_2O_3(g) + N_2O_5(s) rightarrow 2N_2O_4(g)

Questions & Answers

QUESTION:

The chemistry of nitrogen oxides is very versatile. Given the following reactions and their standard enthalpy changes,

\(\mathrm{NO}(\mathrm{g})+\mathrm{NO}_{2}(\mathrm{~g}) \rightarrow \mathrm{N}_{2} \mathrm{O}_{3}(\mathrm{~g}) \quad \Delta \mathrm{H}_{\mathrm{rxn}}^{\circ}=-39.8 \mathrm{~kJ}\)

\(\mathrm{NO}(\mathrm{g})+\mathrm{NO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{N}_{2} \mathrm{O}_{5}(\mathrm{~g}) \Delta \mathrm{H}_{\mathrm{rxn}}^{\circ}=-112.5 \mathrm{~kJ}\)

\(2 \mathrm{NO}_{2}(\mathrm{~g}) \rightarrow \mathrm{N}_{2} \mathrm{O}_{4}(\mathrm{~g}) \quad \Delta \mathrm{H}^{\circ}{ }_{\mathrm{rxn}}=-57.2 \mathrm{~kJ}\)

\(2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{NO}_{2}(\mathrm{~g}) \quad \Delta \mathrm{H}_{\mathrm{rxn}}^{\circ}=-114.2 \mathrm{~kJ}\)

\(\mathrm{N}_{2} \mathrm{O}_{5}(\mathrm{~s}) \rightarrow \mathrm{N}_{2} \mathrm{O}_{5}(\mathrm{~g}) \quad \Delta \mathrm{H}_{\mathrm{rxn}}^{\circ}=54.1 \mathrm{~kJ}\)

       calculate the heat of reaction for

        \(\mathrm{N}_{2} \mathrm{O}_{3}(\mathrm{~g})+\mathrm{N}_{2} \mathrm{O}_{5}(\mathrm{~s}) \rightarrow 2 \mathrm{~N}_{2} \mathrm{O}_{4}(\mathrm{~g})\)

Equation Transcription:

NO(g) + NO2(g) N2O3(g)                 rxn  = -39.8 kJ

NO(g) + NO2(g) + O2(g) N2O5(g)         rxn = -112.5 kJ

2NO2(g) N2O4(g)                         rxn = -57.2 kJ

2NO(g) + O2(g) 2NO2(g)                 rxn = -114.2 kJ

N2O5(s) N2O5(g)                         rxn  = 54.1 kJ

N2O3(g) + N2O5(s) 2N2O4(g)

Text Transcription:

NO(g) + NO_2(g) rightarrow N_2O_3(g)                 Delta H°_rxn  = -39.8 kJ

NO(g) + NO_2(g) + O_2(g) rightarrow N2O5(g)         Delta H°_rxn = -112.5 kJ

2NO_2(g) rightarrow N_2O_4(g)                         Delta H°_rxn = -57.2 kJ

2NO(g) + O2(g) rightarrow 2NO_2(g)                 Delta H°_rxn = -114.2 kJ

N_2O_5(s) rightarrow N_2O_5(g)                         Delta H°_rxn  = 54.1 kJ

N_2O_3(g) + N_2O_5(s) rightarrow 2N_2O_4(g)

ANSWER:

Solution 82P

Here the  following reactions and their standard enthalpy changes are given,

We have to calculate the heat of reaction for

N2O3(g) + N2O5(s) → 2N2O4(g)

Among the given reactions, only reaction 3 contain N2O4(g) and reaction 1 contain N2O3(g). N2O5 appears in both reactions 2 and 5 but they have difference in their physical states i.e solid and gas.

1st we will add reaction 1, 3 and 5

We can write the equation 1 as reversed as follows,

N2O3 (g) → NO (g) + NO2(g)

Multiply equation (3) by 2, 4NO2 (g) → 2 N2O4 (g)

The equation 5 can be written as reversed as follows,

N2O5 (s) → N2O5 (g)

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