For a reaction involving substances $x$,$y$,and $z$,if the overall order of the reaction is $0.5$,which of the following rate laws is applicable?

  • A
    Rate $= K [C_x] [C_y] [C_z]$
  • B
    Rate $= K [C_x]^{0.5} [C_y]^{0.5} [C_z]^{0.5}$
  • C
    Rate $= K [C_x]^{1.5} [C_y]^{-1} [C_z]^0$
  • D
    Rate $= K [C_x] [C_z]^0 / [C_y]^2$

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The results given in the below table were obtained during kinetic studies of the following reaction:
$2 A + B \longrightarrow C + D$
Experiment $[A] / mol \ L^{-1}$ $[B] / mol \ L^{-1}$ Initial rate / $mol \ L^{-1} \ min^{-1}$
$I$ $0.1$ $0.1$ $6.00 \times 10^{-3}$
$II$ $0.1$ $0.2$ $2.40 \times 10^{-2}$
$III$ $0.2$ $0.1$ $1.20 \times 10^{-2}$
$IV$ $X$ $0.2$ $7.20 \times 10^{-2}$
$V$ $0.3$ $Y$ $2.88 \times 10^{-1}$

$X$ and $Y$ in the given table are respectively :

Which one of the following is wrong about molecularity of a reaction?

For the reaction $X_{2(g)} + Y_{2(g)} \rightarrow 2XY_{(g)}$,the following data are observed:
$[X_{2}] \ (M)$$[Y_{2}] \ (M)$Rate of appearance of $XY \ (M \ sec^{-1})$
$0.1$$0.1$$5 \times 10^{-6}$
$0.2$$0.1$$10^{-5}$
$0.2$$0.2$$4 \times 10^{-5}$

Calculate the rate constant of the reaction (in $M^{1-n} \ sec^{-1}$),where $n$ is the order of the reaction.

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By giving three examples,explain whether the exponents of the concentration terms in a rate law are the same as their stoichiometric coefficients in the balanced chemical reaction.

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The inversion of cane sugar is represented by $C_{12}H_{22}O_{11} + H_2O \to C_6H_{12}O_6 + C_6H_{12}O_6$. It is a reaction of

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