What is the impact of temperature on the rate of the reaction at 45C?

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In summary: So if you use 308 K in the denominator, it will work out.In summary, we are given a rate constant for a reaction at 35C and asked to find the rate constant at 45C, as well as determine the impact on the rate. Using the Arrhenius equation, we can find the activation energy for the reaction at 35C and then plug it into the equation for 45C, using the change in temperature (10C) as the denominator. This gives us the ratio of rates, not the actual rate. To find the actual rate, we need to use data for 35C to find the pre-exponential factor, A, and then use it in the Arrhenius equation for
  • #1
Saterial
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Homework Statement


At 35C, the rate constant for the reaction: C12H22O11 + H20 --> C6H12O6 + C6H12O6 is k=6.2 x 10^-5 s-1. The activation energy for the reaction is 108 kJ/mol. What is the rate constant for the reaction at 45C? Determine the impact on the rate.


Homework Equations


r=Ae^-Ae/RT
r=k[C12H22O11][H2O]

The Attempt at a Solution



I don't know if I am even using the right equation, (Arrhenius equation) however I tried seperating the reaction into 35C and 45C stages and analyzed from there. At 35C, Ae is given so I plugged the Ae into the Arrhenius eq at 45C and cancel out the A base as it is the same at both 35C and 45C.

Ended up with :
r=e^(-108000/8.314*10). (change in temp of 10C)

Does this make any sense or even work? If so, what does the second part of impact on the rate mean?

Thanks a bunch.
 
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  • #2
What you found is ratio of rates, not rate. Use data for 35 deg C to find A, then just plug and chug for 45 deg C.
 
  • #3
Also, given that the constant is given by J/Mol K, I would have thought you were supposed to use Kelvins instead of degrees Celsius.
 
  • #4
When it comes to delta T it doesn't matter. A lot depends on how Saterial got to the expression shown.
 
  • #5
Borek said:
When it comes to delta T it doesn't matter. A lot depends on how Saterial got to the expression shown.

Ah. Missed we were using delta.
 

1. What is a rate of reaction?

A rate of reaction is a measure of how quickly a reaction takes place. It is usually expressed as the change in concentration of a reactant or product per unit of time.

2. How is rate of reaction measured?

Rate of reaction can be measured by recording the change in concentration of a reactant or product over a period of time. This can be done using various techniques such as spectrophotometry, titration, or simply by observing the formation of a product.

3. What factors affect the rate of a reaction?

Several factors can affect the rate of a reaction, including temperature, concentration of reactants, surface area, and presence of a catalyst. Changes in these factors can either increase or decrease the rate of a reaction.

4. How does temperature affect the rate of a reaction?

Increasing the temperature generally increases the rate of a reaction as it provides more energy for the reactant particles to collide and form products. Higher temperatures also increase the frequency of collisions between particles, leading to a faster reaction rate.

5. What is the role of a catalyst in a reaction?

A catalyst is a substance that speeds up a chemical reaction without being consumed in the process. It works by lowering the activation energy required for the reaction to occur, making it easier for reactant particles to collide and form products. This results in an increase in the rate of the reaction.

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