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A student placed \(1 \mathrm{~g}\) of each of three compounds \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{C}\) in a container and found that after 1 week no change had occurred. Offer some possible explanations for the fact that no reactions took place. Assume that \(\mathrm{A}\), B, and \(C\) are totally miscible liquids.

Short Answer

Expert verified
No reactions may have occurred due to inertness, unsuitable conditions, insufficient concentration, slow kinetics, or compound stability.

Step by step solution

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01

Consider Chemical Reactivity

The first possibility is that the compounds A, B, and C are chemically inert and do not react with each other under the given conditions. Some compounds require specific conditions such as light, heat, or a catalyst for a reaction to occur, which may not have been provided.
02

Evaluate Reaction Conditions

The second possibility is that the environmental conditions, such as temperature or pressure, were not suitable for a reaction to occur. Some reactions need a specific temperature or pressure range to ignite the reaction, and since no change was observed, the conditions may have been outside that range.
03

Analyze Miscibility and Concentration Effects

While miscibility ensures that the liquids mix uniformly, it is possible that the concentration of reactive species required to initiate a reaction was not reached. Often, reactions require a certain concentration threshold to proceed, which might not have been met with just 1 g of each compound.
04

Consider Kinetic Factors

Another possibility is that the reaction kinetics are extremely slow under the given conditions. Some reactions can take much longer to proceed, and the week-long observation period might not have been sufficient to detect changes.
05

Assess the Stability of Compounds

It's also possible that the compounds involved are stable and do not easily undergo decomposition or reaction with each other. Stability could be inherent in the chemical structure of the molecules.

Key Concepts

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

Reaction Conditions
In chemistry, *reaction conditions* are the specific environmental factors such as temperature, pressure, and presence of catalysts that can influence whether or not a chemical reaction occurs. Every chemical reaction has its own optimal conditions where it proceeds most efficiently. For example, some reactions require heat, while others might need light or a specific pressure.
In the case of the compounds A, B, and C, the absence of any change for a week suggests that the reaction conditions were not conducive to a reaction. The temperature might have been too low, or the pressure might not have been sufficient to promote a reaction.

It's crucial to ensure that if you suspect that specific reaction conditions might be necessary, you should identify and provide them to facilitate the process. Without appropriate reaction conditions, even highly reactive compounds might remain inert.
Miscibility
Miscibility refers to the ability of two or more substances to mix in any proportion, forming a homogeneous solution. When compounds like A, B, and C are miscible, this means they can combine evenly at the molecular level without separating into different layers.
However, miscibility itself does not guarantee a chemical reaction. Even when substances are fully mixed, they still need reactive molecules in significant concentrations to initiate a reaction.

In this exercise, although A, B, and C are miscible, the concentration of necessary reactive sites may not have been adequate to surpass the threshold needed for a reaction. Sometimes, just mixing isn't enough; specific molecular interactions or reactive particle concentrations are vital to trigger a chemical transformation.
Chemical Kinetics
*Chemical kinetics* is the study of reaction rates and the steps through which reactions proceed. It addresses how different variables such as concentration of reactants, temperature, and catalysts affect the speed of a reaction.
Even if conditions seem ideal, the kinetics of a chemical reaction might not favor immediate progress. For example, certain reactions might happen so slowly that significant changes are not observed over short periods like a week.

In the week's observation with compounds A, B, and C, it's possible that they were involved in a very slow reaction process. Without knowing the exact kinetics, we can't conclude if further time might be needed to notice any alteration or end product. The long awaited reactions often require close monitoring and sometimes additional conditions to accelerate the process.
Compound Stability
The term *compound stability* refers to the tendency of a chemical compound to maintain its structure and resist undergoing chemical change. Stable compounds do not easily break down or react unless subjected to extreme conditions.
In this scenario, the stability of A, B, and C could mean that their molecules are quite happy staying as they are, without reacting with each other. High molecular stability might arise from the structure of the compounds/forms, where powerful intramolecular forces hinder reactions.

Recognizing compound stability can be essential to understanding why no reaction occurs. If you encounter an experiment where compounds show no reactivity, it's worth considering their inherent stability properties, as these could provide the reason behind their inert behavior over the week.

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Most popular questions from this chapter

For reactions carried out under standard-state conditions, Equation 18.10 takes the form \(\Delta G^{\circ}=\Delta H^{\circ}-T \Delta S^{\circ} .\) (a) Assuming \(\Delta H^{\circ}\) and \(\Delta S^{\circ}\) are independent of temperature, derive the equation: $$ \ln \frac{K_{2}}{K_{1}}=\frac{\Delta H^{\circ}}{R}\left(\frac{T_{2}-T_{1}}{T_{1} T_{2}}\right) $$ where \(K_{1}\) and \(K_{2}\) are the equilibrium constants at \(T_{1}\) and \(T_{2},\) respectively (b) Given that at \(25^{\circ} \mathrm{C} K_{c}\) is \(4.63 \times 10^{-3}\) for the reaction: $$ \mathrm{N}_{2} \mathrm{O}_{4}(g) \rightleftharpoons 2 \mathrm{NO}_{2}(g) \quad \Delta H^{\circ}=58.0 \mathrm{~kJ} / \mathrm{mol} $$ calculate the equilibrium constant at \(65^{\circ} \mathrm{C}\).

Certain bacteria in the soil obtain the necessary energy for growth by oxidizing nitrites to nitrates: $$ 2 \mathrm{NO}_{2}^{-}+\mathrm{O}_{2} \longrightarrow 2 \mathrm{NO}_{3}^{-} $$ Given that the standard Gibbs free energies of formation of \(\mathrm{NO}_{2}^{-}\) and \(\mathrm{NO}_{3}^{-}\) are -34.6 and \(-110.5 \mathrm{~kJ} / \mathrm{mol}\), respectively, calculate the amount of Gibbs free energy released when 1 mole of \(\mathrm{NO}_{2}^{-}\) is oxidized to 1 mole of \(\mathrm{NO}_{3}^{-}\).

As an approximation, we can assume that proteins exist either in the native (physiologically functioning) state or the denatured state. The standard molar enthalpy and entropy of the denaturation of a certain protein are \(512 \mathrm{~kJ} / \mathrm{mol}\) and \(1.60 \mathrm{~kJ} / \mathrm{K} \cdot \mathrm{mol}\), respectively. Comment on the signs and magnitudes of these quantities, and calculate the temperature at which the denaturation becomes spontaneous.

From the following combinations of \(\Delta H\) and \(\Delta\) 3, predict if a process will be spontaneous at a high or low temperature: (a) both \(\Delta H\) and \(\Delta S\) are negative, (b) \(\Delta H\) is negative and \(\Delta S\) is positive, \((\mathrm{c})\) both \(\Delta H\) and \(\Delta S\) are positive, (d) \(\Delta H\) is positive and \(\Delta S\) is negative.

For a reaction with a negative \(\Delta G^{\circ}\) value, which of the following statements is false? (a) The equilibrium constant \(K\) is greater than one. (b) The reaction is spontaneous when all the reactants and products are in their standard states. (c) The reaction is always exothermic.

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