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At 400 K oxalic acid decomposes according to the reaction: H2C2O4( g )CO2( g )+H

ID: 549535 • Letter: A

Question

At 400 K oxalic acid decomposes according to the reaction:
H2C2O4(g)CO2(g)+HCOOH(g)
In three separate experiments, the intial pressure of oxalic acid and final total pressure after 20,000 s is measured.






Find the rate law of the reaction.

At 400  oxalic acid decomposes according to the reaction:

In three separate experiments, the intial pressure of oxalic acid and final total pressure after 20,000  is measured.






Find the rate law of the reaction.

Experiment 1 2 3 P H2C2O4 at t = 0 65.8 92.1 111 PTotal at t = 20,000 s 96.4 135 163

Explanation / Answer

given data points suggests that Ptotal/Pat t=0 = 96.8/65.4= 1.465 from 1st data point

from 2nd data point, Ptotal/P at t=0 = 135/92.1= 1.465, for the 3rd data point, Ptotal/P at t=0 is = 163/111=1.465

so the all the data points sasity the equal ratio and hence the reaction is 1st order for 1st order reaction given

H2C2O4(g)CO2(g)+HCOOH(g)

let Po= initial pressure and change= x

hence pressrue at any time , H2C2O4= Po-x, CO2= x and HCOOH=x

hence total presure = Po-x+x+x= Po+x= 1.465Po

x=0.465Po , Po-x =0.535Po

hecne the integrated expression for -dP/dt= K becomes

ln(P/Po)= -Kt

P=0.465P0, Po=Po=initial presure , t= 20000sec

K=- ln(0.465)/20000= 3.82*10-5/sec

hence the rate expression beomes rate= 3.82*10-5PH2C2O4. ( B is correct)

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