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The instantaneous rate of an elementary chamical reactkon aA+bBhArr cC+dD can be given by rate =K_(f)[A]^(a)[B]^(b)-K_(b)[C]^(c)[D]^(d) where K_(f) and K_(b) are rate constants for forward and backward reactions respectively for the reversiblereaction. If the reaction is an irreversible one, the rate is expressed as, rate =K[A]^(a)[B]^(b) where K is rate contant for the given irreversible rate of disappearance of A is a/b times the rate of disappearance of B. The variation of rate constant K with temperature is expressed in terms of Arrheniusequation: K=Ae^(-E_(a)//RT) whereasthe ratio (K_(f))/(K_(b)) is expressed in terms of van't Hoff isochore: (K_(f))/(K_(b))=Ae^(-DeltaH//RT), where E_(a) and DeltaH are energy of activation and heat of reaction respectively. For an elementary reaction aAto product, the graph plotted log([-d[A]])/(dt) vs log[A]_(t) gives a straight line with intercept equal to 0.6 and showing an angle of 45^(@) then

Answer»

rate constant =4`"time"^(-1)` and a=1
rate constant `=4"MOL"L^(-1)t^(-1)` and a=1
rate constant =1.99`"time"^(-1)` and a=1
rate constant `=1.99"mol"^(-1)L^(-1)` and a=2

Solution :`(-d[A])/(dt)xx1/a=K/[A]^(a),((-d[A])/(dt))axxKxx[A]^(a),LOG((-DA)/(dt))=log(axxK)+ALOG[A]`
Here `a=1,logK=log4,K=4`


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