/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 29 Bacterial Degradation of Ammonia... [FREE SOLUTION] | 91影视

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Bacterial Degradation of Ammonia Nitrosomonas bacteria convert ammonia into nitrite in the presence of oxygen by the following reaction: \(2 \mathrm{NH}_{3}(a q)+3 \mathrm{O}_{2}(g) \rightarrow 2 \mathrm{H}^{+}(a q)+2 \mathrm{NO}_{2}^{-}(a q)+2 \mathrm{H}_{2} \mathrm{O}(\ell)\) A. How are the rates of formation of \(\mathrm{H}^{+}\) and \(\mathrm{NO}_{2}^{-}\) related to the rate of consumption of \(\mathrm{NH}_{3} ?\) b. How is the rate of formation of \(\mathrm{NO}_{2}^{-}\) related to the rate of consumption of \(\mathrm{O}_{2} ?\) c. How is the rate of consumption of \(\mathrm{NH}_{3}\) related to the rate of consumption of \(\mathrm{O}_{2} ?\)

Short Answer

Expert verified
Question: Determine the relationship between the rates of formation and consumption of various substances in the balanced chemical equation representing bacterial degradation of ammonia. Answer: The rate of formation of H+ is equal to the rate of formation of NO2- and the rate of consumption of NH3. The rate of formation of NO2- is \(\frac{2}{3}\) times the rate of consumption of O2, and the rate of consumption of O2 is \(\frac{2}{3}\) times the rate of consumption of NH3.

Step by step solution

01

A. Relationship between rates of formation of H+ and NO2- and the rate of consumption of NH3

Consider the balanced equation: \(2 \mathrm{NH}_{3}(a q)+3 \mathrm{O}_{2}(g) \rightarrow 2 \mathrm{H}^{+}(a q)+2 \mathrm{NO}_{2}^{-}(a q)+2 \mathrm{H}_{2} \mathrm{O}(\ell)\) Observe the stoichiometric coefficients of NH3, H+, and NO2-: They are, respectively, 2, 2, and 2. Let's say the rate of consumption of NH3 is \(-r_{NH3}\). Since the coefficients are the same, the rates of formation of H+ and NO2- are both equal to the rate of consumption of NH3. Hence, Rate of formation of H+ = Rate of formation of NO2- = Rate of consumption of NH3
02

B. Relationship between the rate of formation of NO2- and the rate of consumption of O2

Consider the stoichiometric coefficients of NO2- and O2: They are, respectively, 2 and 3. Let's say the rate of consumption of O2 is \(-r_{O2}\). Using stoichiometry to relate the rate of formation of NO2- with the rate of consumption of O2 , we obtain: \( \frac{2}{3} (-r_{O2}) = r_{NO2-}\) Hence, Rate of formation of NO2- = \(\frac{2}{3}\) Rate of consumption of O2
03

C. Relationship between the rate of consumption of NH3 and the rate of consumption of O2

Consider the stoichiometric coefficients of NH3 and O2: They are, respectively, 2 and 3. Again, let's say the rate of consumption of NH3 is \(-r_{NH3}\) and the rate of consumption of O2 is \(-r_{O2}\). We can use stoichiometry to relate these rates: \( \frac{2}{3} (-r_{NH3}) = -r_{O2}\) Hence, Rate of consumption of O2 = \(\frac{2}{3}\) Rate of consumption of NH3

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Key Concepts

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

Nitrosomonas Bacteria
Nitrosomonas bacteria play a crucial role in the nitrogen cycle by oxidizing ammonia (NH鈧) into nitrite (NO鈧傗伝). This process is known as nitrification, and it is essential for converting ammonia, which can be toxic in high concentrations, into less harmful substances. In natural environments like soil and water, Nitrosomonas bacteria contribute to the conversion of ammonia from decomposing organic matter. They utilize oxygen (O鈧) and generate hydrogen ions (H鈦) and water (H鈧侽) as by-products during this transformation.
This biological conversion is vital for maintaining environmental balance and ensuring that nitrogen is available in a form that plants can assimilate. Without Nitrosomonas bacteria, ammonia levels could become overly concentrated, leading to toxic conditions for many organisms.
Stoichiometry
Stoichiometry is the study of the quantitative relationships between the reactants and products in a chemical reaction. In the equation provided for the bacterial degradation of ammonia, stoichiometry helps us understand how substances are consumed and produced. In this particular reaction, the balanced chemical equation is:
\[2 \text{NH}_{3}(aq) + 3 \text{O}_{2}(g) \rightarrow 2 \text{H}^{+}(aq) + 2 \text{NO}_{2}^{-}(aq) + 2 \text{H}_{2}\text{O}(\ell)\]
This balance helps to calculate the rates at which each compound is used or formed. Stoichiometric coefficients in the equation indicate the ratio in which reactants combine and products form. By comparing these coefficients, we analyze how much of each substance is involved in the reaction, allowing us to predict outcomes based on given amounts of reactants.
Reaction Rates
Reaction rates describe how quickly or slowly a chemical reaction occurs. For the degradation of ammonia by Nitrosomonas bacteria, we can analyze the rates at which ammonia (NH鈧), oxygen (O鈧), hydrogen ions (H鈦), and nitrite ions (NO鈧傗伝) are consumed or produced. For instance, if ammonia is being consumed at rate \(-r_{NH3}\), then according to stoichiometry, both H鈦 and NO鈧傗伝 are produced at the same rate as NH鈧 is consumed.
This relationship demonstrates that the rate at which reactants disappear is directly linked to the rate at which products form. In many reactions, understanding these rates helps in controlling conditions to optimize yields, assess environmental impacts, and implement industrial processes. The rate laws, derived from experimental data, provide equations that relate concentrations of reactants to the speed of reaction.
Chemical Equations
Chemical equations provide a symbolic representation of chemical reactions, showing both the substances involved and their stoichiometric relationships. In the case of ammonia degradation, the equation is:
\[2 \text{NH}_{3}(aq) + 3 \text{O}_{2}(g) \rightarrow 2 \text{H}^{+}(aq) + 2 \text{NO}_{2}^{-}(aq) + 2 \text{H}_{2}\text{O}(\ell)\]
Each side of the equation represents a balanced view of the reaction, ensuring that atoms are neither lost nor created 鈥 a principle known as the conservation of mass. Balancing the equation is crucial because it ensures the proportionate conversion of reactants into products.
In practice, understanding chemical equations is fundamental for predicting reaction behavior, necessary reactant amounts, and the potential yield of a process. It allows chemists and environmental scientists to model reactions and make informed decisions to manipulate conditions to achieve desired outcomes effectively.

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Most popular questions from this chapter

A proposed mechanism for the reaction of \(\mathrm{NO}_{2}(g)\) and \(\mathrm{CO}(g)\) is $$\begin{array}{ll}\text { Step 1 } & 2 \mathrm{NO}_{2}(g) \rightarrow \mathrm{NO}(g)+\mathrm{NO}_{3}(g) \quad \text { slow } \\ \text { Step 2 } & \mathrm{NO}_{3}(g)+\mathrm{CO}(g) \rightarrow \mathrm{NO}_{2}(g)+\mathrm{CO}_{2}(g)\end{array}$$ a. Write the equation for the overall reaction. b. Write the rate law predicted by the mechanism for the overall reaction. c. Identify the reactants and products of the reaction. d. Identify any intermediates in the reaction.

Nitric oxide (NO) can be removed from gas-fired power-plant emissions by reaction with methane as follows: \(\mathrm{CH}_{4}(g)+4 \mathrm{NO}(g) \rightarrow 2 \mathrm{N}_{2}(g)+\mathrm{CO}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(g)\) Write an equation relating each of the following pairs of rates: a. The rate of formation of \(\mathrm{N}_{2}\) to the rate of formation of \(\mathrm{CO}_{2}\) b. The rate of formation of \(\mathrm{CO}_{2}\) to the rate of consumption of NO c. The rate of consumption of \(\mathrm{CH}_{4}\) to the rate of formation of \(\mathrm{H}_{2} \mathrm{O}\)

Nitrogen oxides such as \(\mathrm{N}_{2} \mathrm{O}\) and \(\mathrm{N}_{2} \mathrm{O}_{5}\) are present in the air in low concentrations, in part because of their reactivity. Write balanced chemical equations for the following reactions: a. The conversion of \(\mathrm{N}_{2} \mathrm{O}\) to \(\mathrm{NO}_{2}\) in the presence of oxygen b. The decomposition of \(\mathrm{N}_{2} \mathrm{O}_{5}\) to \(\mathrm{NO}_{2}\) and \(\mathrm{O}_{2}\)

The rate law for the reaction of NO with \(\mathrm{Cl}_{2}\) (Rate \(\left.=k[\mathrm{NO}]\left[\mathrm{Cl}_{2}\right]\right)\) is the same as that for the reaction of \(\left.\mathrm{NO}_{2} \text { with } \mathrm{F}_{2} \text { (Rate }=k\left[\mathrm{NO}_{2}\right]\left[\mathrm{F}_{2}\right]\right) .\) Is it possible that these reactions have similar mechanisms?

In the reaction between nitrogen dioxide and ozone, $$2 \mathrm{NO}_{2}(g)+\mathrm{O}_{3}(g) \rightarrow \mathrm{N}_{2} \mathrm{O}_{5}(g)+\mathrm{O}_{2}(g)$$ how are the rates of change in the concentrations of the reactants and products related?

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