Chemistry, 23.09.2019 14:10 jayla69

From the following data for the first-order gas-phase isomerization of ch3nc at 215 c, calculate the first-order rate constant and half-life for the reaction:
time (s) pressure ch3nc(torr)
0 502
2000 335
5000 180
8000 95.5
12000 41.7
15000 22.4
k = ?
t1/2 = ?

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Where..
[At] = concentration of component "A" after time = t has elapsed
k = rate constant
t = time elapsed
[Ao] = concentration at time = 0.. i.e.. the concentration you started with.

now... you have pressure.. not concentration right?

if your gas is an ideal gas, then
PV = nRT
P = (n/V) x (RT)

and since "concentration" = moles / volume.. i.e.. [A] = n/v
and since "R" is a constant
and since "T" is a constant

[A] = P / (RT)

so we can either do this..
ln( Pt/(RT) ) = -kt + ln( Po/(RT))

and since Pt and "t" vary and Po and R and T are constant

this is of the form
y = mx + b

if we let
.. y = ln( Pt / (RT) )
.. m = -k
.. .x = time
.. b = ln( Po / (RT))

i.e.. a plot of ln(P / RT) on the y-axis versus time on the x-axis will have a slope = -k

so..
open up an excel spreadsheet
make three columns starting with T =

.. .. .. .. ..col A.. . .col B.. .. ,.Col C
row 1 . t.. ... .P(torr)... . .ln[P/RT (M)].
row 2.. 0... .. . .502... .. .+ln(B2/760/0.08206/(273.15+215))
row 3.. 2000 . .335... .. .+ln(B3/760/0.08206/(273.15+215))
etc..

mouse to A2
left click and hold
drag highlight to A7
press and hold ctrl
release mouse (keep holding ctrl
mouse to c2
left click and hold
drag to c7
release ctrl
release mouse
left click insert
left click scatter
choose the upper left one with just the data points by left clicking on it
right click on any data point on the plot
left click add trendline
left click the two boxes to display equation on chart and display r^2
close
right click on the equation that appeared on the plot
left click format trendline label
sent number format to display 8 decimal points

and... TADA.. you have..
(1).. plotted ln(P/RT) vs time
(2).. fitted the data points with the equation y = -0.00020775x - 4.0986

meaning..
k in your rate equation
ln[At] = -kt + ln[Ao]
is...
k = +0.00020775 /s

Answer from: Quest

1.solid

2.carbon dioxide

3.helium

Answer from: Quest

Answer; carbon monoxide (co);

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From the following data for the first-order gas-phase isomerization of ch3nc at 215 c, calculate the...

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