In the hydrogenation of ethylene using a nickel catalyst, the initial concentration of ethylene is 1.50 mol-L. and its rate constant (k) is 0.0012 mol-L-Determine the rate of reaction if it follows a zero- order reaction mechanism.
In the hydrogenation of ethylene using a nickel catalyst, the initial concentration of ethylene is 1.50 mol-L. and its rate constant (k) is 0.0012 mol-L-Determine the rate of reaction if it follows a zero- order reaction mechanism.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![### Zero-Order Reactions
**Learning Goal:**
To understand zero-order reactions.
Chemical kinetics studies the speed of chemical reactions and their influencing factors. The speed of a reaction is the rate of change in concentrations of reactants and products, expressed through rate laws.
For a general reaction:
\[ aA + bB \rightarrow gG + hH \]
The rate law is:
\[ \text{rate of reaction} = k[A]^m[B]^n \]
where the coefficients \(m\) and \(n\) are experimentally determined, while \(a, b, g, h\) are stoichiometric coefficients unrelated to \(m\) and \(n\).
A zero-order reaction has a rate law where the sum \(m + n + \ldots = 0\). Thus, if there's one reactant, the rate is independent of its concentration.
In zero-order reactions, the concentration versus time graph is a straight line. The rate-law equation is analogous to a straight line equation \(y = mx + b\).
**Exercise:**
- **Multiple Choice:**
- The units for the rate constant and reaction rate are the same
- Zero-order reactions slow down as they proceed
- Reactant concentration changes nonlinearly
- Reaction rate does not equal the rate constant
- Higher reactant concentration does not increase rate
**Correct Answer:**
- A zero-order reaction is independent of reactant concentration. Features include:
1. Concentration vs. time graph is a straight line with a negative slope equal to the rate constant.
2. The rate of reaction equals the rate constant.
3. Units: \([L \cdot mol^{-1} \cdot s^{-1}]\).
**Examples:** Photochemical and surface reactions.
**Part B:**
In the hydrogenation of ethylene using a nickel catalyst, initial ethylene concentration is \(1.50 \, \text{mol} \cdot \text{L}^{-1}\), and \(k = 0.0012 \, \text{mol} \cdot \text{L}^{-1} \cdot \text{s}^{-1}\). Calculate the reaction rate assuming a zero-order mechanism, expressed to two significant figures with appropriate units.
- **Incorrect Attempt:**
- Rate = 541.6 \(\text{mol/L}\) (Try again](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F096b6bb3-2f11-49d8-9074-81efda173389%2F8f584b9d-ab62-4cbd-963b-eff5df96545c%2Fink6x3u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Zero-Order Reactions
**Learning Goal:**
To understand zero-order reactions.
Chemical kinetics studies the speed of chemical reactions and their influencing factors. The speed of a reaction is the rate of change in concentrations of reactants and products, expressed through rate laws.
For a general reaction:
\[ aA + bB \rightarrow gG + hH \]
The rate law is:
\[ \text{rate of reaction} = k[A]^m[B]^n \]
where the coefficients \(m\) and \(n\) are experimentally determined, while \(a, b, g, h\) are stoichiometric coefficients unrelated to \(m\) and \(n\).
A zero-order reaction has a rate law where the sum \(m + n + \ldots = 0\). Thus, if there's one reactant, the rate is independent of its concentration.
In zero-order reactions, the concentration versus time graph is a straight line. The rate-law equation is analogous to a straight line equation \(y = mx + b\).
**Exercise:**
- **Multiple Choice:**
- The units for the rate constant and reaction rate are the same
- Zero-order reactions slow down as they proceed
- Reactant concentration changes nonlinearly
- Reaction rate does not equal the rate constant
- Higher reactant concentration does not increase rate
**Correct Answer:**
- A zero-order reaction is independent of reactant concentration. Features include:
1. Concentration vs. time graph is a straight line with a negative slope equal to the rate constant.
2. The rate of reaction equals the rate constant.
3. Units: \([L \cdot mol^{-1} \cdot s^{-1}]\).
**Examples:** Photochemical and surface reactions.
**Part B:**
In the hydrogenation of ethylene using a nickel catalyst, initial ethylene concentration is \(1.50 \, \text{mol} \cdot \text{L}^{-1}\), and \(k = 0.0012 \, \text{mol} \cdot \text{L}^{-1} \cdot \text{s}^{-1}\). Calculate the reaction rate assuming a zero-order mechanism, expressed to two significant figures with appropriate units.
- **Incorrect Attempt:**
- Rate = 541.6 \(\text{mol/L}\) (Try again
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