- #1
vladimir69
- 130
- 0
hi,
could some one please verify what i have done here or tell me where i went wrong.
suppose the activation energy for a chemical reaction is E*, i have to work out how the rate of the forward reaction depends on temperature T and concentration. (note: i am given the Boltzmann distribution
[tex]c(E)=c_{0} \exp(\frac{E}{nRT})[/tex] )
n = number of moles
R = gas constant
E = gravitational potential energy
[tex]c_{0}[/tex] = initial concentration
c = c(E) = concentration
i made the following assumptions in my calculations
- the reaction is a unimolecular decomposition reaction ( ie A -> B + C )
- the reaction is first order
- and by analogy E=E* (not so sure about this assumption)
let the rate of the forward reaction for the reaction A -> B + C be
[tex]r_{f}[/tex]
so
[tex]r_{f} = -\frac{d[A]}{dt}[/tex]
[tex]=k[A] [/tex] where k is the rate constant
therefore
[tex]r_{f} = kc_{0}\exp(\frac{E*}{nRT})[/tex]
i also need to put some plausible values for E* and comment on the quantitative results - i am not sure how to go about this and not sure what plausible values for E* are
thanks for your time
could some one please verify what i have done here or tell me where i went wrong.
suppose the activation energy for a chemical reaction is E*, i have to work out how the rate of the forward reaction depends on temperature T and concentration. (note: i am given the Boltzmann distribution
[tex]c(E)=c_{0} \exp(\frac{E}{nRT})[/tex] )
n = number of moles
R = gas constant
E = gravitational potential energy
[tex]c_{0}[/tex] = initial concentration
c = c(E) = concentration
i made the following assumptions in my calculations
- the reaction is a unimolecular decomposition reaction ( ie A -> B + C )
- the reaction is first order
- and by analogy E=E* (not so sure about this assumption)
let the rate of the forward reaction for the reaction A -> B + C be
[tex]r_{f}[/tex]
so
[tex]r_{f} = -\frac{d[A]}{dt}[/tex]
[tex]=k[A] [/tex] where k is the rate constant
therefore
[tex]r_{f} = kc_{0}\exp(\frac{E*}{nRT})[/tex]
i also need to put some plausible values for E* and comment on the quantitative results - i am not sure how to go about this and not sure what plausible values for E* are
thanks for your time