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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/ $m L$ ?

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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,

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

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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/ $m L$ ?