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Solved: From the following heats of combustion, calculate

Chapter 6, Problem 63P

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QUESTION:

From the following heats of combustion,

\(\mathrm{CH}_{3} \mathrm{OH}(l)+\frac{3}{2} \mathrm{O}_{2}(g) \rightarrow \mathrm{CO}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(l)\)

\(\Delta H_{r x n}^{\circ}=-726.4\ \mathrm{kJ} / \mathrm{mol}\)

\(C(\text { graphite })+\mathrm{O}_{2}(g) \rightarrow \mathrm{CO}_{2}(\mathrm{g})\)

\(\Delta H_{r x n}^{\circ}=-393.5\ \mathrm{kJ} / \mathrm{mol}\)

\(\mathrm{H}_{2}(g)+\frac{1}{2} \mathrm{O}_{2}(g) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{l})\)

\(\Delta H_{r x n}^{\circ}=-285.8\ \mathrm{kJ} / \mathrm{mol}\)

calculate the enthalpy of formation of methanol \(\left(\mathrm{CH}_{3} \mathrm{OH}\right)\) from its elements:

\(\mathrm{C}(\text { graphite })+2 \mathrm{H}_{2}(g)+\frac{1}{2} \mathrm{O}_{2}(g) \rightarrow \mathrm{CH}_{3} \mathrm{OH}(\mathrm{l})\)

Questions & Answers

QUESTION:

From the following heats of combustion,

\(\mathrm{CH}_{3} \mathrm{OH}(l)+\frac{3}{2} \mathrm{O}_{2}(g) \rightarrow \mathrm{CO}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(l)\)

\(\Delta H_{r x n}^{\circ}=-726.4\ \mathrm{kJ} / \mathrm{mol}\)

\(C(\text { graphite })+\mathrm{O}_{2}(g) \rightarrow \mathrm{CO}_{2}(\mathrm{g})\)

\(\Delta H_{r x n}^{\circ}=-393.5\ \mathrm{kJ} / \mathrm{mol}\)

\(\mathrm{H}_{2}(g)+\frac{1}{2} \mathrm{O}_{2}(g) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{l})\)

\(\Delta H_{r x n}^{\circ}=-285.8\ \mathrm{kJ} / \mathrm{mol}\)

calculate the enthalpy of formation of methanol \(\left(\mathrm{CH}_{3} \mathrm{OH}\right)\) from its elements:

\(\mathrm{C}(\text { graphite })+2 \mathrm{H}_{2}(g)+\frac{1}{2} \mathrm{O}_{2}(g) \rightarrow \mathrm{CH}_{3} \mathrm{OH}(\mathrm{l})\)

ANSWER:

Step 1 of 3

Here, we are going to determine the enthalpy of formation of methanol from its elements.

 

Given that,

  ---(1)

 -----(2)

  ------(3)

 

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