Which of the following statement$(s)$ is (are) correct?

  • A
    $A$ plot of $\log \, K_p$ versus $1/T$ is linear.
  • B
    $A$ plot of $\log \, [X]$ versus time is linear for a first order reaction $X \to P$.
  • C
    $A$ plot of $P$ versus $1/V$ is linear at constant temperature.
  • D
    All of the above.

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In the phenomenon of autocatalysis,......

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Match the column $I$ with column $II$ :
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$b$. Molarity$ii$. $\frac{k \times 1000}{M}$
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$d$. Limiting molar conductivity$iv$. $\frac{\text{moles of solute}}{\text{Volume of solution (lit)}}$

Under the same reaction conditions, initial concentration of $1.386 \ mol \ dm^{-3}$ of a substance becomes half in $40 \ s$ and $20 \ s$ through first-order and zero-order kinetics respectively. Ratio $\left(\frac{k_{1}}{k_{0}}\right)$ of the rate constants for first-order $\left(k_{1}\right)$ and zero-order $\left(k_{0}\right)$ of the reactions is

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