교과서 질문
This reaction was monitored as a function of time: AB → A + B A plot of 1/[AB] versus time yields a straight line with a slope of +0.55/Ms. c. What is the half-life when the initial concentration is 0.55 M?
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15. Chemical Kinetics
Half-Life
Multiple Choice
If the initial concentration of NO2(g) is 0.050 M, what is the half-life of the reaction at 300°C given that the rate constant k is 0.54 M⁻¹s⁻¹?
A
74 seconds
B
37 seconds
C
27 seconds
D
18 seconds
검증된 단계별 안내1
Identify the order of the reaction. Since the rate constant k is given in units of M⁻¹s⁻¹, this indicates a second-order reaction.
For a second-order reaction, the half-life (t₁/₂) is given by the formula: , where k is the rate constant and C₀ is the initial concentration.
Substitute the given values into the formula: k = 0.54 M⁻¹s⁻¹ and C₀ = 0.050 M.
Calculate the half-life using the formula: .
Simplify the expression to find the half-life of the reaction at 300°C.
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