Write balanced equations that describe the formation of the following compounds from elements in their standard states, and use Appendix \(\mathrm{C}\) to obtain the values of their standard enthalpies of formation: (a) \(\mathrm{H}_{2} \mathrm{O}_{2}(g)\) (b) \(\mathrm{CaCO}_{3}(s)\) (c) \(\mathrm{POCl}_{3}(l),(\mathbf{d}) \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(l)\)

Short Answer

Expert verified
(a) Formation of H2O2 (g): \[\frac{1}{2}\mathrm{H}_{2}(g) + \frac{1}{2}\mathrm{O}_{2}(g) \rightarrow \mathrm{H}_{2}\mathrm{O}_{2}(g)\], ΔHf° = -187.8 kJ/mol. (b) Formation of CaCO3 (s): \[\mathrm{Ca}(s) + \mathrm{C}(s, graphite) + \frac{3}{2}\mathrm{O}_{2}(g) \rightarrow \mathrm{CaCO}_{3}(s)\], ΔHf° = -1206.9 kJ/mol. (c) Formation of POCl3 (l): \[\frac{1}{4}\mathrm{P}_{4}(s, white) + \frac{3}{2}\mathrm{Cl}_{2}(g) + \frac{1}{2}\mathrm{O}_{2}(g) \rightarrow \mathrm{POCl}_{3}(l)\], ΔHf° = -542.6 kJ/mol. (d) Formation of C2H5OH (l): \[2\mathrm{C}(s, graphite) + 3\mathrm{H}_{2}(g) + \frac{1}{2}\mathrm{O}_{2}(g) \rightarrow \mathrm{C}_{2}\mathrm{H}_{5}\mathrm{OH}(l)\], ΔHf° = -277.6 kJ/mol.

Step by step solution

01

a) Formation of H2O2 (g) from elements in standard states

(1) Write down the elements in standard states: H2 (g) and O2 (g). (2) Combine the elements to form H2O2 (g): H2 (g) + O2 (g) -> H2O2 (g). (3) Balance the equation: 1/2 H2 (g) + 1/2 O2 (g) -> H2O2 (g). (4) Look up the standard enthalpies of formation of H2O2 (g) in Appendix C: ΔHf° = -187.8 kJ/mol.
02

b) Formation of CaCO3 (s) from elements in standard states

(1) Write down the elements in standard states: Ca (s), C (s, graphite), and O2 (g). (2) Combine the elements to form CaCO3 (s): Ca (s) + C (s, graphite) + O2 (g) -> CaCO3 (s). (3) Balance the equation: Ca (s) + C (s, graphite) + 3/2 O2 (g) -> CaCO3 (s). (4) Look up the standard enthalpies of formation of CaCO3 (s) in Appendix C: ΔHf° = -1206.9 kJ/mol.
03

c) Formation of POCl3 (l) from elements in standard states

(1) Write down the elements in standard states: P4 (s, white), Cl2 (g), and O2 (g). (2) Combine the elements to form POCl3 (l): P4 (s, white) + Cl2 (g) + O2 (g) -> POCl3 (l). (3) Balance the equation: 1/4 P4 (s, white) + 3/2 Cl2 (g) + 1/2 O2 (g) -> POCl3 (l). (4) Look up the standard enthalpies of formation of POCl3 (l) in Appendix C: ΔHf° = -542.6 kJ/mol.
04

d) Formation of C2H5OH (l) from elements in standard states

(1) Write down the elements in standard states: C (s, graphite), H2 (g), and O2 (g). (2) Combine the elements to form C2H5OH (l): C (s, graphite) + H2 (g) + O2 (g) -> C2H5OH (l). (3) Balance the equation: 2 C (s,graphite) +3 H2 (g) + 1/2 O2 (g) -> C2H5OH (l). (4) Look up the standard enthalpies of formation of C2H5OH (l) in Appendix C: ΔHf° = -277.6 kJ/mol.

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