Write general equation of reaction and explain - what is order of reaction ? Which is its value ?

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General Reaction : $a \mathrm{~A}+b \mathrm{~B} \rightarrow c \mathrm{C}+d \mathrm{D}$

The differential rate expression of reaction is as under.

Rate $=-\frac{\mathrm{d}[\mathrm{R}]}{\mathrm{dt}}=k[\mathrm{~A}]^{x}[\mathrm{~B}]^{y}$

Where, the value of $x$ and $y$ are determine experimentally which are same or not to $a$ and $b$.

Where, $x$ and $y$ indicate how sensitive the rate is to the change in concentration of $\mathrm{A}$ and $\mathrm{B}$.

$(i)$ $x$ represent the order with respect to the reactant $\mathrm{A}$.

$(ii)$ $y$ represent the order with respect to the reactant $\mathrm{B}$.

$(iii)$ $(x+y)=$ Overall order of a reaction.

Order of Reaction : The sum of powers of the concentration of the reactants in the rate law expression is called the order of that chemical reaction.

Order of a reaction can be $0,1,2,3$ and even a fraction, these values are always determined by experimentally.

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In a reaction $A_2B_3(g) \to A_2(g) + \frac{3}{2}B_2(g)$, the pressure increases from $60$ torr to $75$  torr in $2.5\, minutes$. The rate of disappearance of $A_2B_3$ is ........ $torr\, min^{-1}$

Write differential rate expression of following reaction and give its order of reaction :

$5 B r^{-}+B r O_{3}^-+6 H^{+} \rightarrow 3 B r_{2}+3 H_{2} O$

The alkaline hydrolysis of ethyl acetate is represented by the equation$C{H_3}COO{C_2}{H_5} + NaOH \to C{H_3}COONa + {C_2}{H_5}OH$ Experimentally it is found that for this reaction$\frac{{dx}}{{dt}} = k[C{H_3}COO{C_2}{H_5}]\,[NaOH]$ Then the reaction is

The conversion of $A \to B$ follows second order kinetics. Doubling the concentration of $A$ will increase the rate of formation of $B$ by a factor

Assertion : The kinetics of the reaction -

$mA + nB + pC \to m' X + n 'Y + p 'Z$

obey the rate expression as $\frac{{dX}}{{dt}} = k{[A]^m}{[B]^n}$.

Reason : The rate of the reaction does not depend upon the concentration of $C$.

  • [AIIMS 2017]