1.

Compounds A and B react according to the following chemical equation : A(g) + 2B(g) rarr2C(g) Concentration of either A or B were changed keeping the concentrations of one of the reactantconstants and rates were measured as a function of initial concentration, Following results were obtained. Choose the correct option for the rate equations for this reaction.

Answer»

Rate = `k[A]^(2)[B]`
Rate = `k[A][B]^(2)`
Rate = `k[A][B]`
Rate = `k[A]^(2)[B]^(0)`

Solution :Let Rate law, `r=k[A]^(x)[B]^(y)""....(i)`
On putting values, we get
`0.10 = K [0.30]^(x)[0.30]^(y) ""....(ii)`
`0.40 = K[0.30]^(x)[0.60]^(y)""....(iii)`
`0.20=K[0.60]^(x)[0.30]^(y)""....(iv)`
From EQS. (ii) and (iii), we get
`(0.1)/(0.4)=[(0.30)/(0.30)]^(x)[(0.30)/(0.60)]^(y)`
`(1)/(4)=[(1)/(2)]^(y)implies y = 2`
From Eqs.(iii) and (iv), we get
`(0.40)/(0.20)=((0.30)/(0.60))^(x)((0.60)/(0.30))^(y)`
`2=((1)/(2))^(x)(2)^(y)`
On putting the values of y, we get
`2=((1)/(2))^(x)(2)^(2)`
`implies ""x=1`
On putting the values of x and y in Eq. (i), we get
`r=k[A]^(1)[B]^(2)=k[A][B]^(2)`


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