In the reaction, 2 NO + Cl 2 arrow 2 NOCl, it has been found that doubling the concentration of both the reactants increases the rate by a factor of eight but doubling the chlorine concentration alone only doubles the rate. Which of the following statements is incorrect?

Question

In the reaction, 2 NO + Cl 2 arrow 2 NOCl, it has been found that doubling the concentration of both the reactants increases the rate by a factor of eight but doubling the chlorine concentration alone only doubles the rate. Which of the following statements is incorrect? (A) The reaction is first order in Cl 2. (B) The reaction is second order in NO. (C) The overall order of reaction is 2 . (D) The overall order of reaction is 3

Tardigrade Admin · Accepted Answer

(i) r=k[ NO ]α[ Cl 2]β=k aα bβ (ii) 8 r=k(2 a)α(2 b)β (iii) 2 r=k aα(2 b)β Dividing (ii) by (iii), 4=2α or α=2 Dividing (iii) by (i), 2=2β or β=1 Overall order =2+1=3

Q. In the reaction, $2 NO + C l_{2} \to 2 NOCl$ , it has been found that doubling the concentration of both the reactants increases the rate by a factor of eight but doubling the chlorine concentration alone only doubles the rate. Which of the following statements is incorrect?

The reaction is first order in $C l_{2}$ .

The reaction is second order in NO.

The overall order of reaction is 2 .

The overall order of reaction is $3$

(i) $r = k [NO]^{α} [C l_{2}]^{β} = k a^{α} b^{β}$

(ii) $8 r = k (2 a)^{α} (2 b)^{β}$

(iii) $2 r = k a^{α} (2 b)^{β}$

Dividing (ii) by (iii), $4 = 2^{α}$ or $α = 2$

Dividing (iii) by (i), $2 = 2^{β}$ or $β = 1$

Overall order $= 2 + 1 = 3$

Q. In the reaction, 2NO+Cl2​→2NOCl, it has been found that doubling the concentration of both the reactants increases the rate by a factor of eight but doubling the chlorine concentration alone only doubles the rate. Which of the following statements is incorrect?

The reaction is first order in Cl2​.