Textbook Question
For each of the following gas-phase reactions, indicate how the rate of disappearance of each reactant is related to the rate of appearance of each product:
(d) C2H5NH2(g) → C2H4(g) + NH3(g)
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15. Chemical Kinetics
Stoichiometric Rate Calculations
Multiple Choice
Given the reaction 4 A → 3 B, if the rate of formation of B is 7 mol L⁻¹ sec⁻¹, what is the rate of depletion of A?
A
9.33 mol L⁻¹ sec⁻¹
B
7 mol L⁻¹ sec⁻¹
C
1.75 mol L⁻¹ sec⁻¹
D
5.25 mol L⁻¹ sec⁻¹
Verified step by step guidance1
Identify the stoichiometry of the reaction: 4 A → 3 B. This tells us that 4 moles of A are consumed for every 3 moles of B produced.
Understand that the rate of formation of B is given as 7 mol L⁻¹ sec⁻¹. This is the rate at which B is being produced.
Use the stoichiometric relationship to relate the rate of formation of B to the rate of depletion of A. The rate of depletion of A is related to the rate of formation of B by the ratio of their coefficients in the balanced equation.
Set up the relationship using the stoichiometric coefficients: Rate of depletion of A = (4/3) × Rate of formation of B.
Substitute the given rate of formation of B (7 mol L⁻¹ sec⁻¹) into the equation: Rate of depletion of A = (4/3) × 7 mol L⁻¹ sec⁻¹.
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