Question

The Arrhenius Equation is typically written as k=Ae−Ea/RT However, the following more practical form of this...

The Arrhenius Equation is typically written as

k=AeEa/RT

However, the following more practical form of this equation also exists:

lnk2k1=EaR(1T1−1T2)

where k1 and k2 are the rate constants for a single reaction at two different absolute temperatures (T1and T2).

Part A

The activation energy of a certain reaction is 32.1 kJ/mol . At 20 ∘C, the rate constant is 0.0130 s−1. At what temperature would this reaction go twice as fast?

Express your answer numerically in degrees Celsius

Part B

Given that the initial rate constant is 0.0130 s−1 at an initial temperature of 20 ∘C, what would the rate constant be at a temperature of 100 ∘C?

Express your answer numerically in inverse seconds.

Homework Answers

Answer #1

A)

we have:

T1 = 20 oC

=(20+273)K

= 293 K

K2/K1 = 2/1

Ea = 32.1 KJ/mol

= 32100 J/mol

we have below equation to be used:

ln(K2/K1) = (Ea/R)*(1/T1 - 1/T2)

ln(2/1) = (32100.0/8.314)*(1/293.0 - 1/T2)

0.6931 = 3860.9574*(1/293.0 - 1/T2)

T2 = 309 K

= (309-273) oC

= 36 oC

Answer: 36 oC

B)

we have:

T1 = 20 oC

=(20+273)K

= 293 K

T2 = 100 oC

=(100+273)K

= 373 K

K1 = 1.3*10^-2 s-1

Ea = 32.1 KJ/mol

= 32100 J/mol

we have below equation to be used:

ln(K2/K1) = (Ea/R)*(1/T1 - 1/T2)

ln(K2/1.3*10^-2) = (32100.0/8.314)*(1/293.0 - 1/373.0)

ln(K2/1.3*10^-2) = 3861*(7.32*10^-4)

K2 = 0.2195 s-1

Answer: 0.220 s-1

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 Arrhenius Equation The Arrhenius equation shows the relationship between the rate constant k and...
± The Arrhenius Equation The Arrhenius equation shows the relationship between the rate constant k and the temperature T in kelvins and is typically written as k=Ae−Ea/RT where R is the gas constant (8.314 J/mol⋅K), A is a constant called the frequency factor, and Ea is the activation energy for the reaction. However, a more practical form of this equation is lnk2k1=EaR(1T1−1T2) which is mathmatically equivalent to lnk1k2=EaR(1T2−1T1) where k1 and k2 are the rate constants for a single reaction...
± The Arrhenius Equation The Arrhenius equation shows the relationship between the rate constant k and...
± The Arrhenius Equation The Arrhenius equation shows the relationship between the rate constant k and the temperature T in kelvins and is typically written as k=Ae−Ea/RT where R is the gas constant (8.314 J/mol⋅K), A is a constant called the frequency factor, and Eais the activation energy for the reaction. However, a more practical form of this equation is lnk2k1=EaR(1T1−1T2) which is mathmatically equivalent to lnk1k2=EaR(1T2−1T1) where k1 and k2 are the rate constants for a single reaction at...
The Arrhenius equation shows the relationship between the rate constant k and the temperature Tin kelvins...
The Arrhenius equation shows the relationship between the rate constant k and the temperature Tin kelvins and is typically written as k=Ae−Ea/RT where R is the gas constant (8.314 J/mol⋅K), Ais a constant called the frequency factor, and Ea is the activation energy for the reaction. However, a more practical form of this equation is lnk2k1=EaR(1T1−1T2) which is mathmatically equivalent to lnk1k2=EaR(1T2−1T1) where k1 and k2 are the rate constants for a single reaction at two different absolute temperatures (T1and...
The Arrhenius equation shows the relationship between the rate constant k and the temperature T in...
The Arrhenius equation shows the relationship between the rate constant k and the temperature T in kelvins and is typically written as k=Ae−Ea/RT where R is the gas constant (8.314 J/mol⋅K), A is a constant called the frequency factor, and Ea is the activation energy for the reaction. However, a more practical form of this equation is lnk2k1=EaR(1T1−1T2) which is mathmatically equivalent to lnk1k2=EaR(1T2−1T1) where k1 and k2 are the rate constants for a single reaction at two different absolute...
A. The Arrhenius equation shows the relationship between the rate constant k and the temperature T...
A. The Arrhenius equation shows the relationship between the rate constant k and the temperature T in kelvins and is typically written as k=Ae−Ea/RT where R is the gas constant (8.314 J/mol⋅K), A is a constant called the frequency factor, and Ea is the activation energy for the reaction. However, a more practical form of this equation is lnk2k1=EaR(1T1−1T2) which is mathematically equivalent to lnk1k2=EaR(1T2−1T1) where k1 and k2 are the rate constants for a single reaction at two different...
Explain the Arrhenius Equation, k = Ae-Ea/RT, in your own words. How does the Arrhenius Equation...
Explain the Arrhenius Equation, k = Ae-Ea/RT, in your own words. How does the Arrhenius Equation relate to the iodine clock reaction? Please explain in one well-developed paragraph.
The rate constant of a chemical reaction increased from 0.100 s−1 to 3.10 s−1 upon raising...
The rate constant of a chemical reaction increased from 0.100 s−1 to 3.10 s−1 upon raising the temperature from 25.0 ∘C to 51.0 ∘C . Part A Calculate the value of (1/T2−1/T1) where T1 is the initial temperature and T2 is the final temperature. Express your answer numerically. Part B Calculate the value of ln(k1/k2) where k1 and k2 correspond to the rate constants at the initial and the final temperatures as defined in part A. Express your answer numerically....
The rate constant of a chemical reaction increased from 0.100 s−1 to 2.60 s−1 upon raising...
The rate constant of a chemical reaction increased from 0.100 s−1 to 2.60 s−1 upon raising the temperature from 25.0 ∘C to 45.0 ∘C . I solved (1T2−1T1) = −2.11×10−4   K−1 In (k1/k2) = -3.26 But, I'm having problems on this question: What is the activation energy of the reaction? Express your answer numerically in kilojoules per mole. It would be great if you could show all of your work. I've been trying to figure out this problem for a...
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...
Calculate Ea for the uncatalyzed reactions. Use equation 9 and two uncatalyzed reactions that are identical...
Calculate Ea for the uncatalyzed reactions. Use equation 9 and two uncatalyzed reactions that are identical in every aspect except for temperature. Eq. 9: ln k2/k1 = (Ea/R)(1/T1 - 1/T2) Reaction [H2O2]M [I-]M Δ[I2] Reaction Time, Δt (s) Reaction Temp. (K) RATE = Δ[I2]/Δt (M/s) Apparent rate, constant, k' ln k' 1/T 1 0.008 0.015 1.25E-04 126 295.15 9.92E-07 8.27E-03 -4.79546 0.003388 2 0.012 0.015 1.25E-04 136 295.15 9.19E-07 5.11E-03 -5.2773 0.003388
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT