Hi this is the whole thing ----------------------I just need help with part 2 pl

Question

Hi this is the whole thing ----------------------I just need help with part 2 plase

152 Chemistry 106 Table 20.1: Data Run 5 Run 4 Run 1 Run 2 Run 3 time, A time, s LA time, s LA time, A time, s 0.606 0.607 0.607 o 0.601 0 0.611 150 0.504 150 0.524 300 0.565 50 0.513 10 0.515 300 0.427 300 0.412 600 0.529 100 0.425 20 0.426 300 0.343 450 0.357 450 0.361 900 0.498 150 0.298 600 0.305 600 0.299 1200 0.472 200 0.227 40 750 0.271 750 0.253 1800 0413 250 75 50 0.276 950 0.214 950 0.201 2400 0.356 300 149 60 0.221 1250 0151 1250 0.147 3000 0.333 3500 18 70 0.163 1550 0.103 1550 0.104 3600 0.283 400 0.101 130 0.119 Table 20.2: Conditions Run Fe(phen) lo, M H2SO4]0, M T, oC 2+ L1 40.0 0.50 7.5 x 10.5 2 7.5 x 10-5 0.050 40.0 3 7.5 x 105 0.50 30.0 7.5 x 105 0.50 50.0 7.5 x 10-5 0.50 60.0

Explanation / Answer

The graphs will be

so there is a straight line when a graph is plotted between lnA and time which shows that this is a first order reaction

The equation from graph is

y = -0.001x - 0.505

It satisfies this first order expression as

ln[At] = -Kt + ln[A0]

so slope = -K

slope = -0.001

K = 0.001 sec-1

t1/2 = 0.693 / K = 0.693 / 0.001 = 693 seconds

ln[A0] = intercept

ln[A0] = -0.505

[A0] = antilog (-0.505) = 0.603 = initial concentration

Part 2)

Run 3

y = -0.000x - 0.510

we can not determine K from here

Run 4

equation is

y=-0.004x -0.452

So rate constant at 50 C = - slope = 0.004 sec^-1

Run 5:

the equation is

y = -0.017x - 0.490

so K = -slope = 0.017 at 60 C

So we are with following data

The graph will be

As per arrhenius equation we will plot a graph between 1/T V/s LnK

The slope of the graph = -Ea /R

R = gas constant = 8.314 J / K mole

y = -14771x + 40.23 : the equation from graph

slope = -14771 = -Ea / R

Ea = 14771 X 8.314 Joules = 122806.094 Joules = 122.806 KJ

Run 1 time A lnA 1/A 0 0.607 -0.49923 1.647446 150 0.504 -0.68518 1.984127 300 0.427 -0.85097 2.34192 450 0.357 -1.03002 2.80112 600 0.305 -1.18744 3.278689 750 0.271 -1.30564 3.690037 950 0.214 -1.54178 4.672897 1250 0.151 -1.89048 6.622517 1550 0.103 -2.27303 9.708738

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