The oxidation of methanol to formaldehyde can be accomplished by reaction with chromic acid: $$ \begin{array}{r} 6 \mathrm{H}^{+}(a q)+3 \mathrm{CH}_{3} \mathrm{OH}(a q)+2 \mathrm{H}_{2} \mathrm{CrO}_{4}(a q) \longrightarrow \\ 3 \mathrm{CH}_{2} \mathrm{O}(a q)+2 \mathrm{Cr}^{3+}(a q)+8 \mathrm{H}_{2} \mathrm{O}(I) \end{array} $$ The reaction can be studied with the stable isotope tracer \({ }^{18} \mathrm{O}\) and mass spectrometry. When a small amount of \(\mathrm{CH}_{3}{ }^{18} \mathrm{OH}\) is present in the alcohol reactant, \(\mathrm{CH}_{2}{ }^{18} \mathrm{O}\) forms. When a small amount of \(\mathrm{H}_{2} \mathrm{Cr}^{18} \mathrm{O}_{4}\) is present, \(\mathrm{H}_{2}{ }^{18} \mathrm{O}\) forms. Does chromic acid or methanol supply the \(\mathrm{O}\) atom to the aldehyde? Explain.

Short Answer

Expert verified
Methanol supplies the oxygen atom to the aldehyde.

Step by step solution

01

Analyze the Given Reaction

The chemical reaction is given as: \[6 \mathrm{H}^{+}(aq) + 3 \mathrm{CH}_{3} \mathrm{OH}(aq) + 2 \mathrm{H}_{2} \mathrm{CrO}_{4}(aq) \rightarrow 3 \mathrm{CH}_{2} \mathrm{O}(aq) + 2 \mathrm{Cr}^{3+}(aq) + 8 \mathrm{H}_{2} \mathrm{O}(l)\]First, identify the reactants and the products in the provided reaction.
02

Evaluate the Role of Isotope Tracers

Consider the information about the stable isotope tracer \(^{18} \mathrm{O}\). Two scenarios are provided:1. When \( \mathrm{CH}_{3}^{18} \mathrm{OH} \) is present, \( \mathrm{CH}_{2}^{18} \mathrm{O} \) forms.2. When \( \mathrm{H}_{2} \mathrm{Cr}^{18} \mathrm{O}_{4} \) is present, \( \mathrm{H}_{2}^{18} \mathrm{O} \) forms.These scenarios indicate the source of the oxygen atoms in the reaction.
03

Analyze the First Scenario

In the first scenario, when \( \mathrm{CH}_{3}^{18} \mathrm{OH} \) (methanol with \(^{18} \mathrm{O}\)) is used, the product is \( \mathrm{CH}_{2}^{18} \mathrm{O} \). This indicates that the oxygen atom in the formaldehyde comes from the methanol.
04

Analyze the Second Scenario

In the second scenario, when \( \mathrm{H}_{2} \mathrm{Cr}^{18} \mathrm{O}_{4} \) (chromic acid with \(^{18} \mathrm{O}\)) is used, the product is \( \mathrm{H}_{2}^{18} \mathrm{O} \). This indicates that the labeled oxygen from chromic acid ends up in the water molecule.
05

Conclusion

From the analysis of the isotope tracer experiments, it can be concluded that the oxygen atom in the formaldehyde (\( \mathrm{CH}_{2} \mathrm{O} \)) must come from methanol (\( \mathrm{CH}_{3} \mathrm{OH} \)) because \( \mathrm{CH}_{3}^{18} \mathrm{OH} \) produces \( \mathrm{CH}_{2}^{18} \mathrm{O} \). Meanwhile, the oxygen atom in the water (\( \mathrm{H}_{2} \mathrm{O} \)) comes from chromic acid (\( \mathrm{H}_{2} \mathrm{CrO}_{4} \)).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Stable Isotope Tracers
Stable isotope tracers are atoms with a different number of neutrons but the same number of protons. This difference allows scientists to track the movement of specific atoms within chemical reactions. In our oxidation of methanol example, we use the stable isotope \({}^{18}\text{O}\). This isotope helps to identify the source of the oxygen atom in the formaldehyde production. By substituting the normal oxygen with \({}^{18}\text{O}\) into methanol (\(\text{CH}_{3}{}^{18}\text{OH}\)) and chromic acid (\(\text{H}_{2}\text{Cr}^{18}\text{O}_{4}\)), we can observe where the \({}^{18}\text{O}\) ends up in the reaction products using mass spectrometry.
Chromic Acid Reaction
The chromic acid reaction is a chemical process where chromic acid (\(\text{H}_{2}\text{CrO}_{4}\)) oxidizes alcohols to aldehydes or ketones. In this reaction:

\(\text{6 H}^{+}(aq) + 3 \text{CH}_{3}\text{OH}(aq) + 2 \text{H}_{2}\text{CrO}_{4}(aq) \rightarrow 3 \text{CH}_{2}\text{O}(aq) + 2 \text{Cr}^{3+}(aq) + 8 \text{H}_{2}\text{O}(l)\)

Here, methanol (\(\text{CH}_{3}\text{OH}\)) is oxidized to formaldehyde (\(\text{CH}_{2}\text{O}\)). During oxidation, chromic acid acts as the oxidizing agent, reducing in the process to \(\text{Cr}^{3+}\). This reaction produces water (\(\text{H}_{2}\text{O}\)) as a byproduct. Through isotope tracing, we determined that the oxygen in the formaldehyde originates from methanol, whilst the oxygen in the water comes from chromic acid.
Formaldehyde Formation
Formaldehyde (\(\text{CH}_{2}\text{O}\)) is formed through the oxidation of methanol. During this reaction,\(3\text{CH}_{3}\text{OH}\) (methanol molecules) interact with \(\text{6 H}^{+}\) and \(\text{2 H}_{2}\text{CrO}_{4}\) (chromic acid) producing \(3\text{CH}_{2}\text{O}\) (formaldehyde), \(\text{2 Cr}^{3+}\), and \(\text{8 H}_{2}\text{O}\) as products. From the isotope tracer experiment, we confirmed that the oxygen atom within the formaldehyde originates from the oxygen in methanol, indicating a direct transfer during the oxidation reaction. Hence, methanol supplies the oxygen atom to formaldehyde (\(\text{CH}_{3}{}^{18}\text{OH}\) forms \(\text{CH}_{2}{}^{18}\text{O}\)). This is an essential concept in understanding the oxidation process and the role of reactant molecules in forming specific products.

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Most popular questions from this chapter

24.128 A metastable (excited) form of \({ }^{50} \mathrm{Sc}\) changes to its stable form by emitting \(\gamma\) radiation with a wavelength of \(8.73 \mathrm{pm}\). What is the change in mass of \(1 \mathrm{~mol}\) of the isotope when it undergoes this change?

A random-number generator can be used to simulate the probability of a given atom decaying over a given time. For example, the formula "=RAND()" in an Excel spreadsheet returns a random number between 0 and \(1 ;\) thus, for one radioactive atom and a time of one half-life, a number less than 0.5 means the atom decays and a number greater than 0.5 means it doesn't. (a) Place the "=RAND()" formula in cells A1 to A10 of an Excel spreadsheet. In cell B1, place "=IF(A1 \(<0.5,0,1\) )." This formula returns 0 if \(\mathrm{A} 1\) is \(<0.5\) (the atom decays) and 1 if \(\mathrm{A} 1\) is \(>0.5\) (the atom does not decay). Place analogous formulas in cells B2 to B10 (using the "Fill Down" procedure in Excel). To determine the number of atoms remaining after one half-life, sum cells \(\mathrm{B} 1\) to \(\mathrm{B} 10\) by placing \("=\mathrm{SUM}(\mathrm{B} 1: \mathrm{B} 10) "\) in cell \(\mathrm{B} 12 .\) To create a new set of random numbers, click on an empty cell (e.g., B13) and hit "Delete." Perform 10 simulations, each time recording the total number of atoms remaining. Do half of the atoms remain after each half-life? If not, why not? (b) Increase the number of atoms to 100 by placing suitable formulas in cells Al to A100, B1 to B100, and B102. Perform 10 simulations, and record the number of atoms remaining each time. Are these results more realistic for radioactive decay? Explain.

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