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Chemical Kinetics
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Q. Thermal decomposition of azo – isopropane to hexane and nitrogen follows a first order kinetics. If Pi is the initial pressure of arz – isopropane and the pressure after time t sec is P, then the expression for rate constant 'k' can be given by: a) 1/t ln p/2pi b) 1/t ln pi/p c) 1/t ln pi/(2pi-p) d) 1/t ln p/(2pi-p)?
Let p ibe the initial pressure of azoisopropane and at time t, p atm of azoisopropane decomposes. (CH 3) 2CHNH=NHCH(CH 3) 2⟶N 2+C 6H 14At time, t=0 P azoisopropane=P iP N 2=0 P C 6H 14=0 At time, t P azoisopropane=P i−p P N 2=p P C 6H 14=p (The pressure is in atm.) Total pressure, P t=(P i−p)+p+p p=P t−P iP azoisopropane=2P i−P tk= t 2.303log [A] [A] 0k− t 2.303log 2P i−P tP iWhen time is 360 s, k= 360 2.303log 2×35.0−54 35.0k=2.17×10 −3 /s When time is 720 s, k= 720 2.303log 2×35.0−63.0 35.0k=2.24×10 −3 /s Average value of k =2.20×10 −3 /s