Textbook Question
Consider the reaction:
2 HBr (g) → H2 (g) + Br2 (g)
c. If the volume of the reaction vessel in part b was 1.50 L, what amount of Br2 (in moles) was formed during the first 15.0 s of the reaction?
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Ch.15 - Chemical Kinetics
Chapter 15, Problem 27b
For the reaction 2 A(g) + B(g) → 3 C(g), b. when A is decreasing at a rate of 0.100 M/s, how fast is B decreasing? How fast is C increasing?
Verified step by step guidance1
Identify the stoichiometric ratios from the balanced chemical equation. For every 2 moles of A consumed, 1 mole of B is consumed and 3 moles of C are produced.
Set up the rate expressions based on the stoichiometry. If the rate of disappearance of A is given as 0.100 M/s, use the stoichiometric ratios to find the rates of B and C. The rate of disappearance of B is half the rate of disappearance of A, and the rate of appearance of C is 1.5 times the rate of disappearance of A.
Calculate the rate of disappearance of B by dividing the rate of disappearance of A by 2.
Calculate the rate of appearance of C by multiplying the rate of disappearance of A by 1.5.
Summarize the findings: B is decreasing at half the rate that A is decreasing, and C is increasing at a rate 1.5 times that of A's decrease.
Verified Solution
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Stoichiometry
Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. It allows us to determine how the amounts of substances change during the reaction based on their coefficients in the balanced equation. In this case, the coefficients indicate that for every 2 moles of A consumed, 1 mole of B is consumed and 3 moles of C are produced.
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Stoichiometry Concept
Rate of Reaction
The rate of reaction refers to the speed at which reactants are converted into products. It can be expressed in terms of the change in concentration of a reactant or product over time. Understanding the rates of change for each substance in the reaction is essential for determining how fast B decreases and C increases when A is decreasing.
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Concentration Change
Concentration change describes how the concentration of a substance varies over time during a chemical reaction. In this scenario, knowing the rate at which A is decreasing allows us to calculate the corresponding rates for B and C using the stoichiometric ratios. This concept is crucial for applying the rates of change to find the rates of other substances involved in the reaction.
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Related Practice
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Textbook Question
For the reaction 2 A(g) + B(g) → 3 C(g), a. Determine the expression for the rate of the reaction in terms of the change in concentration of each of the reactants and products.
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