how did you obtain the values of enthalpy change for the products and reactants?

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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how did you obtain the values of enthalpy change for the products and reactants?

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Could you please show the work for the highlighted enthalpy values?  I have the tabulated values for bond energies but I'd just like to see it step-by-step.  Thank you.

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I meant these values.

**Explanation of Solution**

The given reaction is:

\[ 4\text{NH}_3(g) + 6\text{NO}(g) \rightarrow 5\text{N}_2(g) + 6\text{H}_2\text{O}(g) \]

The mathematical expression for the standard enthalpy change value at room temperature is:

\[ \Delta H^\circ_R = \sum nH^\circ(\text{products}) - \sum pH^\circ(\text{reactants}) \]

\[ \Delta H^\circ_R = 5 \times \Delta H^\circ_{f,\text{N}_2(g)} + 6 \times \Delta H^\circ_{f,\text{H}_2\text{O}(g)} - 6 \times \Delta H^\circ_{f,\text{NO}(g)} - 4 \times \Delta H^\circ_{f,\text{NH}_3(g)} \]

- The enthalpy change of \(\text{N}_2(g)\) = 0 kJ/mole
- The enthalpy change of \(\text{H}_2\text{O}(g)\) = -241.8 kJ/mole
- The enthalpy change of \(\text{NO}(g)\) = 91.3 kJ/mole
- The enthalpy change of \(\text{NH}_3(g)\) = -45.9 kJ/mole

Put the values,

\[ \Delta H^\circ_R = 5 \times (0 \text{kJ/mole}) + 6 \times (-241.8 \text{kJ/mole}) - 6 \times (91.3 \text{kJ/mole}) - 4 \times (-45.9 \text{kJ/mole}) \]

\[ \Delta H^\circ_R = -1816 \text{kJ/mole} \]

Now, value of \(\Delta n_g\) = (6 + 5) – (6 + 4) = 1

The mathematical expression of change in internal energy is:

\[ \Delta U^\circ_R = \Delta H^\circ_R - \Delta n_g RT \]

But the values...
Transcribed Image Text:**Explanation of Solution** The given reaction is: \[ 4\text{NH}_3(g) + 6\text{NO}(g) \rightarrow 5\text{N}_2(g) + 6\text{H}_2\text{O}(g) \] The mathematical expression for the standard enthalpy change value at room temperature is: \[ \Delta H^\circ_R = \sum nH^\circ(\text{products}) - \sum pH^\circ(\text{reactants}) \] \[ \Delta H^\circ_R = 5 \times \Delta H^\circ_{f,\text{N}_2(g)} + 6 \times \Delta H^\circ_{f,\text{H}_2\text{O}(g)} - 6 \times \Delta H^\circ_{f,\text{NO}(g)} - 4 \times \Delta H^\circ_{f,\text{NH}_3(g)} \] - The enthalpy change of \(\text{N}_2(g)\) = 0 kJ/mole - The enthalpy change of \(\text{H}_2\text{O}(g)\) = -241.8 kJ/mole - The enthalpy change of \(\text{NO}(g)\) = 91.3 kJ/mole - The enthalpy change of \(\text{NH}_3(g)\) = -45.9 kJ/mole Put the values, \[ \Delta H^\circ_R = 5 \times (0 \text{kJ/mole}) + 6 \times (-241.8 \text{kJ/mole}) - 6 \times (91.3 \text{kJ/mole}) - 4 \times (-45.9 \text{kJ/mole}) \] \[ \Delta H^\circ_R = -1816 \text{kJ/mole} \] Now, value of \(\Delta n_g\) = (6 + 5) – (6 + 4) = 1 The mathematical expression of change in internal energy is: \[ \Delta U^\circ_R = \Delta H^\circ_R - \Delta n_g RT \] But the values...
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