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Is rate constant equal to one over TIME in the Arrhenius Equation If so or not is there an equation representing their relationship?
Wiki User
∙ 13y ago
The unit of the rate constant in a 1st Order reaction rate equation (NOT the 'Arrhenius equation', as stated in the question) is One over Time.
General form of a reaction rate equation :
rate (mol.L-1.time-1) = [rate constant(Ln-1.mol1-n.time-1)]*[Concentration()]n
where:
* n is the Order of the rate equation (that is of the rate limiting step) * all units are (italicalised) between brackets It can easily be seen in this that for n=1 (1st Order) the equation is:
r = k * C1
and in units:
mol.L-1.time-1 = (L0.mol0.time-1)*(mol.L-1)1
so:
(mol.L-1.time-1) = (time-1)*(mol.L-1)
Only the value of the rate constant k is depending on temperature only (cf. Arrhenius equation), though temperature is NOT in its unit.
Wiki User
∙ 13y ago
Wiki User
∙ 13y agoThis question can only be answered if 'Temperature' is read as 'Time', because temperature is not in the rate (constant) of a reaction as 1/Temp. For this one should review the Arrhenius equation itself:
k=Ae-[Ea/RT]
The unit of the rate constant in a 1st Order reaction rate equation (NOT the 'Arrhenius equation', as stated in the question) is One over Time.
General form of a reaction rate equation :
rate (mol.L-1.time-1) = [rate constant(Ln-1.mol1-n.time-1)]*[Concentration()]n
where:
- n is the Order of the rate equation (that is of the rate limiting step)
- all units are (italicalised) between brackets
It can easily be seen in this that for n=1 (1st Order) the equation is:
r = k * C1
and in units:
mol.L-1.time-1 = (L0.mol0.time-1)*(mol.L-1)1
so:
(mol.L-1.time-1) = (time-1)*(mol.L-1)
Only the value of the rate constant k is depending on temperature only (cf. Arrhenius equation), though temperature is NOT in its unit
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