Genera·Chemistry, you w-learn that Svme Armenia Where * & is the rate constant o

Question

Genera·Chemistry, you w-learn that Svme Armenia Where * & is the rate constant of the reaction; this quantifies the rate of given chemical re et Eis the activation minimum amount of energy needed for a chemical reaction to occurm . R is the universal gas constant, 8.314 . T is the temperature of the reaction in K (units in Kelvin) .A is the frequency factor; how often molecules collide and how many times they colide correct orientation during chemical reaction. (Units of a first arder reaction measured in When doing calculations, you need to manipulate equations in order to find the value of a certain varlable or constant. Rearrange Arrhenius' equation solving for T Explain why your step gets you closer to the desired equation for T Write down your steps: Solve for T in Arrhenius Remember the units are very important in calculations. Recall from last week the equation speed. a. What are the units for speed? b. How did you determine that? c. How can you use Arrhenius' equation to find the units for k? Write down your steps Explain why your step gets you closer to the

Explanation / Answer

k = Ae^-Ea / RT

solving the equation

step 1 : first we have to get rid of A from right side

so we will divide both sides by A

k/A = e^-Ea / RT

step 2 :

lets now get rid of exponent e

taking natural log on both sides

ln ( k/A) = -Ea / RT ln e

ln e = 1

hence, equation becomes

ln ( k/A) = -Ea / RT

step 3 : we will now multiply both sides by RT to get rid of fractions

RT ln ( k/A) = -Ea

step 4:

dividing both sides by R ln (k/A) to isolate T

T = - Ea / R ln ( k/A)

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