Question

what is the activation energy(Ea) of a first order reaction is the reaction rate constant(k) increases...

what is the activation energy(Ea) of a first order reaction is the reaction rate constant(k) increases from 0.0300 min to 0.500 min as the temperature increases from 20.0 C to 45.0 C?

Homework Answers

Answer #1

The temperature dependency of rate constant is given by Arrhenius equation.

According to Arrhenius equation,

k = k0e-Ea/RT Where Ea is the activation energy and k0 is the frequency factor. Applying logarithm both sides and applying for two different states, we get the relation independant of frequency factor.

ln(k1/k2) = - Ea/R * [(1/T1)-(1/T2)]

Substituting the values at two different states,

We get

ln(0.3/0.5) = -Ea/8.314 [ 1/293 - 1/318]

Ea comes out to be = 15.828 kJ/mol

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The activation energy, Ea for a particular reaction is 13.6 kj/mol. If the rate constant at...
The activation energy, Ea for a particular reaction is 13.6 kj/mol. If the rate constant at 754 degrees celsius is 24.5/min at egat temperature in celsius will the rate constant be 12.7/min? r= 8.314j/mol • K
a.)A certain reaction has an activation energy of 25.10 kJ/mol. At what Kelvin temperature will the...
a.)A certain reaction has an activation energy of 25.10 kJ/mol. At what Kelvin temperature will the reaction proceed 7.00 times faster than it did at 289 K? b.A certain reaction has an enthalpy of ΔH = 39 kJ and an activation energy of Ea = 51 kJ. What is the activation energy of the reverse reaction? c.)At a given temperature, the elementary reaction A<=> B in the forward direction is the first order in A with a rate constant of...
A particular first-order reaction has a rate constant of 1.35 × 102 s-1 at 25.0°C. What...
A particular first-order reaction has a rate constant of 1.35 × 102 s-1 at 25.0°C. What is the magnitude of k at 45.0°C if Ea = 55.5 kJ/mol?
The activation energy (E*) for a reaction is 195 KJ. If the k for this reaction...
The activation energy (E*) for a reaction is 195 KJ. If the k for this reaction is 3.46 x 10-5/min at 35oC, what will the temperature be in OF when k is 1.5 x 10-3/min? If this was a second order reaction, what are the half life’s at each temperature?
There are several factors that affect the rate of a reaction. These factors include temperature, activation...
There are several factors that affect the rate of a reaction. These factors include temperature, activation energy, steric factors (orientation), and also collision frequency, which changes with concentration and phase. All the factors that affect reaction rate can be summarized in an equation called the Arrhenius equation: k=Ae−Ea/RT where k is the rate constant, A is the frequency factor, Ea is the activation energy, R=8.314 J/(mol⋅K) is the universal gas constant, and T is the absolute temperature. __________________________________________________ A certain...
If the rate constant k of a reaction doubles when the temperature increases from 121 °C...
If the rate constant k of a reaction doubles when the temperature increases from 121 °C to 279 °C, what is the activation energy of the reaction in units of kJ/mol? Do not enter units with your numerical answer. Do not use scientific notation.
By what factor does the rate constant increase when the temperature increases from 200. K to...
By what factor does the rate constant increase when the temperature increases from 200. K to 400. K for a reaction with an activation energy of 845 J/mol?
The gas phase reaction 2N2O5(g)->4NO2(g)+O2(g) has an activation energy of 103 kJ/mole, and the first order...
The gas phase reaction 2N2O5(g)->4NO2(g)+O2(g) has an activation energy of 103 kJ/mole, and the first order rate constant is 1.16x10^-8 min^-1 at 231 K. what is the rate constant at 211K?
If a first order reaction has a rate constant of 4.15 X 10-2 s-1 at a...
If a first order reaction has a rate constant of 4.15 X 10-2 s-1 at a temperature of 24.5oC, what would the value of k be if the reaction temperature was changed to 52oC given that the activation energy is 67.8 kJ/mol?
explain a procedure/analysis to measure activation energy (Ea) experimentally by using the Arrhenius expression for the...
explain a procedure/analysis to measure activation energy (Ea) experimentally by using the Arrhenius expression for the temperature dependence of the rate constant k k(T)=Ae-Ea/RT