You visited us 5 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Chemistry

Factors Affecting Rate of Reaction

For three rea...

Question

For three reactions of first, second and third order, $k_{1} = k_{2} = k_{3}$ , when concentration is expressed in $m o l / L$ . What will be relation among $k_{1}, k_{2}$ and $k_{3}$ if the concentration is expressed in mol/ $m L$ ?

Open in App

Solution

$R_{1} = K_{1} [A] \Rightarrow K_{1} = \frac{R_{1}}{[A]}$ $[A]$ is in $m o l / l i t$

$R_{2} = K_{2} [A]^{2} \Rightarrow K_{2} = \frac{R_{2}}{[A]^{2}}$ & $R_{3} = K_{3} [A]^{3} \Rightarrow K_{3} = \frac{R_{3}}{[A]^{3}}$

Given: $K_{1} = K_{2} = K_{3}$

$\frac{R_{1}}{[A]} = \frac{R_{2}}{[A]^{2}} = \frac{R_{3}}{[A]^{3}}$

Now if conc are in $m o l e / m L$
Then Replace $[A] \Rightarrow \frac{[A]}{10^{- 3}}$
From the relation between $K$ & $R$ We get,

$K_{1} = K_{2} \times 10^{- 3} = K_{3} \times 10^{- 6}$

Suggest Corrections

Similar questions

Q. For the reactions of I, II and III orders,

K_{1} = K_{2} = K_{3}

when concentrations are expressed in mol

l i t r e^{- 1}

. What will be the relation in

K_{1}, K_{2}, K_{3}

, if concentrations are expressed in mol/ml ?

Q. For a reaction taking place in three steps, the rate constants are

k_{1}, k_{2}

and

k_{3}

. The overall rate constant

k = \frac{k_{1} k_{2}}{k_{3}}

. If the energy of activation values for the first, second and third stages are

40, 50

and

60

k J

{m o l}^{- 1}

respectively, then the overall energy of activation in

k J

{m o l}^{- 1}

is:

Q. A reaction takes place in various steps. The rate constant for first, second, third and fifth steps are

k_{1}, k_{2}, k_{3}

and

k_{5}

respectively. The overall rate constant is given by,

k = \frac{k_{2}}{k_{3}} [\frac{k_{1}}{k_{5}}]^{1 / 2}

If activation energy is

40, 60, 50

and

10 k J / m o l

respectively, the overall energy of activation

(k J / m o l)

is :

For $C u^{2 +}$ ion in $[C u (H_{2} O)_{4} (e n)]^{2 +}, [C u (H_{2} O)_{2} (e n)_{2}]^{2 +}$ and $[C u (e n)_{3}]^{2 +}$ with the stability constant $k_{1}, k_{2}$ and $k_{3}$ respectively, which of the following holds true?

Q. A reactiontakes place in various steps. The rate constant for first, second, third and fifth steps are

k_{1}, k_{2}, k_{3}

and

k_{5}

respectively. The overall rate constant is given by:

k = \frac{k_{2}}{k_{3}} \times (\frac{k_{1}}{k_{5}})^{0.5}

If the activation energies are 40, 60, 50 and 10 kJ/mol respectively, the overall activation energy (kJ/mol) is:

Join BYJU'S Learning Program

For three reactions of first, second and third order, k1=k2=k3, when concentration is expressed in mol/L. What will be relation among k1,k2 and k3 if the concentration is expressed in mol/mL?

R1=K1[A]⇒K1=R1[A] [A] is in mol/litR2=K2[A]2⇒K2=R2[A]2 & R3=K3[A]3⇒K3=R3[A]3Given: K1=K2=K3R1[A]=R2[A]2=R3[A]3Now if conc are in mole/mLThen Replace [A]⇒[A]10−3From the relation between K & R We get,K1=K2×10−3=K3×10−6

For three reactions of first, second and third order, $k_{1} = k_{2} = k_{3}$ , when concentration is expressed in $m o l / L$ . What will be relation among $k_{1}, k_{2}$ and $k_{3}$ if the concentration is expressed in mol/ $m L$ ?