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Zero order (RL)
Rate= k
First order (RL)
Rate = k[A]^1
Second Order (RL)
Rate = k[A]²
Zero order (Half-life)
[A]₀/2k.
First order (Half-life)
ln(2)/k
Second Order (half-life)
1/k[A]0
Zero order (IRL)
[A]_t = -kt + [A]_0
First order (IRL)
ln[A]_t = -kt + ln[A]_0
Second order (IRL)
1/[A]_t = kt + 1/[A]_0.
Zero Order (Overall Units)
mol L^-1S^-1
first order (overall (units)
S^-1
Second Order (overall units)
L mol^-1 S^-1
Third order (Overall Units)
L² mol-² S^-1
What factors have the greatest impact on the rate of a reaction?
The amount (or concentration) of the reactants
Temperature
The presence of catalyst
The chemical nature of reactants
Proximity
The half life depends on
The rate constant (k)
The initial concentration of reactant (exponent for first order rpeaction)
The magnitude of the Boltzman factor(experimental term -Ea/Rt)
Increase with increasing temperature
Decreases with increasing activation energy(Ea)
Homogeneous catalysts
Have the same phase as the reactants
Heterogeneous catalysts
Have different phase than the reactant
Enzymes
are protein that “hold” reactants in the active site of their structures, which accelerates their conversion into products
k>1; delta G<0; Ecell>0
Spontaneous reaction
k<1; delta G>0; E cell<0
non-spontaneous reaction
𝐺°=−𝑛𝐹𝐸°cell
𝐸°cell=(𝑅𝑇/𝑛𝐹)ln𝐾
Δ𝐺°= −𝑅𝑇ln𝐾