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At 71.0 'C that has an activation energy of 83.6 kJlmol and a frequency factor Calculate the rate constant. k, for a reaction of 6.18x 10" $-1...

Question

At 71.0 'C that has an activation energy of 83.6 kJlmol and a frequency factor Calculate the rate constant. k, for a reaction of 6.18x 10" $-1

at 71.0 'C that has an activation energy of 83.6 kJlmol and a frequency factor Calculate the rate constant. k, for a reaction of 6.18x 10" $-1



Answers

The activation energy of a reaction is 56.8 $\mathrm{kJ} / \mathrm{mol}$ and the frequency factor is $1.5 \times 10^{11} / \mathrm{s}$ . Calculate the rate constant of the reaction at $25^{\circ} \mathrm{C}$ .

Lois did. I were going to be looking at a situation where we have a reaction and the frequency factor is 2.98 times 10 to the 13th. The activation energy is 161 Kalid joules per mole, and the temperature is 600 degrees Celsius. So what would the rate constant be? Well, remember that we have, Ah, a equation that Arrhenius equation which involves all of these components. So why don't we just sort of plug in? Well, first, before we plug in, we have to make some conversions. Let's convert Kalid joules per mole into jewels per mole because our is and jewels and ours also in Calvin. So let's convert that to Kelvin that adding 273. So that would be 100 and 73. So now let's plug in. You've got great. Constant is equal to three 0.98 times 10 to 13th times E to negative 161 1000 divided by eight 0.314 times 800 in 73. So now let's do some math. So a 0.3 point 8.314 times 873 is 7000, 258. It's of I divide 161,000 by that making negative. Now we dio need to that value and then we just multiply that by 3.98 homes tend to the 13th. We will see that I answer is the rate constant is 9200 and 50 number seconds and there we go.

According to question. Mm It was, yeah. Mhm. Oh my God. Yeah The rate constant K one for a certain reaction is equal to 1.4 into 10 days. To the power -5. Mhm Permal per minute. At temperature the one Equals to 483 Calvin. And activism energy E. Is equal to 2.11 in two. 10 days to the power three jule per mole. We have to find rate constant for the reaction at temperature 611 Kelvin. Let yeah. Okay. To be there great constant. Yeah. Mhm. Mhm. At temperature. Okay, excuse me. He noted by T two Which is equal to 611. Kill me from our genius equation. What what you know? Yeah. Ellen K two by Cuban is equal to activism and as the upon art into the tu minus Stephen divided by The 1- two. Mm. Okay, thank you. For K two is alone, Kevin is equal to 1.4 in two, 10 days. To the power -5 formal for a minute. Here is equal to 2.11 and took 10 days. three power 3 Joel Permal R. is the gas constant, which is which is equal to 8.31 jewel caramel pour carving The two is equal to 611 curving Stephen is equal to 483 Kelvin. Yeah. Mhm. You can. Mhm. They get Ellen K two to fight by 1.4 into changes to the par minus fight Moeller universe. Minute universe is equal to. We get this value is equal to zero 1101. We know that Ellen has a base E. So the videos look at me logarithmic property here, K two, divide by 1.4 into 10 days. To the power -5. Model universe minute inwards is equal to eat. To the power 0.1101. Mhm. Just during cross multiplication, Wicked 1.4 in to 10 days to the power -5 Modern universe minute inverse into The value of a raise to the power 0.1101 Is equal to 1.12. So we get the value of great constant. K two is equal to 1.6 to 10 days. To the power minus five Moeller universe minute inverse. This mhm Mhm required mhm. Great constant. You just forget it. K two Is equal to 1.6 into 10 days to the ball -5 Mueller universe, minute in first. This is our final answer for this problem.

Problem. 61. We were asked to calculate the rate constant given, um, the octave Asian energy, the frequency factor and the temperature. So, um, what I have right here is the arenas aggression, right? And, um, que is already isolated on the left side and were given everything thought we need in terms of variable. So at this point, we just really need to plug in numbers, so our frequency factor is given a right. We got 1.5. I'm Stan reached to 11 for a second times e raised to negative e a right. I have to be a And, um, we'll be using our later, which is in Jewell sperm. All. So, um, in order for our unit, the work e a needs to be converted to Jules Promote. So we're gonna have 56,000 with the 6800 Joe Spur. Over. We got rt. What? So our would be 8.314 Jules promote. Okay, Jules, for more. Okay, Right. And finally we have that temperature 25 the re socialise. And of course, we need to add 273 to that in order to convert it to Calvin. Okay, so 273 plus 25 would be 298. So we got 298 Calvin. Okay, So the reason that I wanted to convert this, um, activation energy through Joe spur more sort out, these units would cancel. This will ask the unit for temperature. Okay, So, um, at this point, we just need to lugging all the numbers and our calculator, and that should give us 17 percent. Okay, And that is our answer for this problem.

In this problem Given that a reaction has an activist and energy E equals two. 363 kilo jule. Mhm I don't think. Yeah. Mhm. And the rate constant has to increase tenfold. Then we have to calculate activation energy of the catalyzed reaction. Suppose kevin and K two are but it constant. Yeah for activation. Mhm. Thank you. Mhm. Energy. Mhm. E even and E. Two respectively. Given temperature D equals two 25° C. Which is equal to 25 plus 270 three Calvin equals two 298 Kelvin mm from are chinese equation moving over Ellen kevin equals two Ln a minus E. Even the wild way. Are the Yeah. Mhm. Okay Consider this ad equation one And then K two equals 2 Ln A. Here is frequency factor minus E A two divided by rT Consider that this education two given mr care to equals two. 10 times of Cuban. Mhm. Now subtract. Mhm. Yeah, equation one from equation two. Mhm justification. They get Ellen K to minus Ellen Keelan equals two. Uh huh. E one divided by Rt minus E. A. Two divide way. Artie. Okay Here given that EJ one equals 2. 363 kilo june. Mhm. Yeah. Yeah. Now this Can be arranged as Ellen K two by Kevin Equals two. One by RT times EA 1 -1 E. Two. Mhm. Here EJ one is activist energy for and catty blazed reaction. And E. A. To his activism Jersey. For catalyzed the accent we get Ellen 10 times of Okay. one divide by Given equals to one divide while 8.314 jule Permal car Calvin Into 2 98 Calvin times E. A. One is equal to 363 kilo jule minus E. Two. No. So we get 363. Kill A june minus E. Two is equal to 2 98 into 8131 four into Ellen then. Yeah jule mhm Baltimore. And this is also kilo june formal. We get 363 Into 10 days to the power tree jules minus E. A. Two. Yeah. Yeah. Mhm. Mhm equals two. 5.7-10 days to the power three jule formal we could E. A two equals two. 363 5.7 In. To tenders to the power three jules formal. So we get e. two equals 2. 300 50 7.3. Mhm. Mhm kilo june Which is nearly equal to 300 57 kilo two. Yeah. Therefore mhm activism inanity. That's stupid. For catalyzed criminal reaction is equal to 357 kilo jule permanent. Okay. Yeah. Mhm. This is your final answer for this problem


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