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For the reaction $A_2 + B_2 \to 2AB$,the experimental data is given below. Determine the order of the reaction.
Experiment No. $[A_2] \text{ (M)}$ $[B_2] \text{ (M)}$ Rate $(M \cdot s^{-1})$
$1$ $0.1$ $0.1$ $1.6 \times 10^{-4}$
$2$ $0.1$ $0.2$ $3.2 \times 10^{-4}$
$3$ $0.2$ $0.1$ $3.2 \times 10^{-4}$

For an elementary reaction,which of the following is correct?

For a hypothetical reaction $A + B \rightarrow C$,the following data is provided from three different experiments:
$1$. $[A] = 0.01 \ M$,$[B] = 0.01 \ M$ - Rate of reaction $= 1.0 \times 10^{-4} \ M \ s^{-1}$.
$2$. $[A] = 0.01 \ M$,$[B] = 0.03 \ M$ - Rate of reaction $= 9.0 \times 10^{-4} \ M \ s^{-1}$.
$3$. $[A] = 0.03 \ M$,$[B] = 0.03 \ M$ - Rate of reaction $= 2.70 \times 10^{-3} \ M \ s^{-1}$.
Determine the rate law.

Determine the order of reaction on the basis of following data for the reaction $A + B \to C$.
Exp.$[A]$$[B]$Rate of reaction $(mol \ L^{-1} \ s^{-1})$
$1$$0.1$$0.1$$2 \times 10^{-3}$
$2$$0.4$$0.1$$0.8 \times 10^{-2}$
$3$$0.1$$0.2$$1.6 \times 10^{-2}$
(in $.5$)

$2 \ NO + 2 \ H_2 \rightarrow N_2 + 2 \ H_2O$
The above reaction has been studied at $800^{\circ} C$. The related data are given in the table below.
Reaction serial number Initial pressure of $H_2$ / $kPa$ Initial Pressure of $NO$ / $kPa$ Initial rate $(-\frac{dp}{dt}) / (kPa \ s^{-1})$
$1$ $65.6$ $40.0$ $0.135$
$2$ $65.6$ $20.1$ $0.033$
$3$ $38.6$ $65.6$ $0.214$
$4$ $19.2$ $65.6$ $0.106$

The order of the reaction with respect to $NO$ is $...........$

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