Rate laws, Arrhenius theory, reaction mechanisms, particle in a box, molecular orbitals and the Born-Oppenheimer approximation.
40 cards · basic cards · AI-written, checked twice. Edit anything.
- What is the rate law for a reaction?
Show answer
The relationship between the reaction rate and reactant concentrations, expressed as rate = k[A]^m[B]^n, where k is the rate constant and m, n are reaction orders
- What does reaction order mean?
Show answer
The sum of the exponents in the rate law; it indicates how strongly the rate depends on concentration changes
- Write the integrated rate law for a first-order reaction.
Show answer
ln[A] = -kt + ln[A]0, or equivalently ln([A]0/[A]) = kt
- Write the integrated rate law for a second-order reaction.
Show answer
1/[A] = kt + 1/[A]0, or equivalently 1/[A] - 1/[A]0 = kt
- What is the half-life formula for a first-order reaction?
Show answer
t(1/2) = ln(2)/k = 0.693/k; it is independent of initial concentration
- What is the half-life formula for a second-order reaction?
Show answer
t(1/2) = 1/(k[A]0); it is inversely proportional to the initial concentration
- What is the rate law for a zero-order reaction?
Show answer
rate = k; the concentration changes linearly with time as [A] = -kt + [A]0
- What does the rate constant k represent?
Show answer
The proportionality constant in the rate law that determines reaction speed at a given temperature; its units depend on overall reaction order
- What does the method of initial rates determine?
Show answer
The reaction orders and rate constant by comparing initial rates under different initial concentrations; rate law expressions are compared at each concentration level
- State the Arrhenius equation.
Show answer
k = A*exp(-Ea/RT), where A is the frequency factor, Ea is activation energy, R is the gas constant, and T is absolute temperature
- What is activation energy (Ea)?
Show answer
The minimum energy required for reactant molecules to form the activated complex and proceed to products; always positive
- What is the frequency factor (A) in the Arrhenius equation?
Show answer
A pre-exponential factor representing the frequency of properly oriented, energetic collisions; its units match those of the rate constant k
- How does a catalyst affect the activation energy and rate?
Show answer
A catalyst lowers Ea, increasing k without being consumed; it provides an alternative reaction pathway but does not appear in the overall rate law
- What is the linear form of the Arrhenius equation used for calculations?
Show answer
ln(k) = -(Ea/R)*(1/T) + ln(A); plotting ln(k) vs 1/T gives a line with slope -Ea/R and y-intercept ln(A)
- Write the two-point Arrhenius equation.
Show answer
ln(k2/k1) = (Ea/R)*(1/T1 - 1/T2); used to find Ea or predict k at a new temperature