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Practice QuestionsMCQ (Single Correct Answer)
1
For the gaseous reaction, $\mathrm{N}_{2} \mathrm{O}_{5} \longrightarrow 2 \mathrm{NO}_{2}+\frac{1}{2} \mathrm{O}_{2}$
the rate can be expressed as
$ \begin{array}{l} -\frac{d\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]}{d t}=K_{1}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right] \\\\ +\frac{d\left[\mathrm{NO}_{2}\right]}{d t}=K_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right] \\\\ +\frac{d\left[\mathrm{O}_{2}\right]}{d t}=K_{3}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right] \end{array} $
The correct relation between $K_{1}, K_{2}$ and $K_{3}$
TG EAPCET 2024 (Online) 11th May Morning Shift
2
For a first order reaction, the graph between $\log \frac{a}{(a-x)}$ (on $y$-axis) and time (in min, on $x$-axis) gave a straight line passing through origin. The slope is $2 \times 10^{-3} \mathrm{~min}^{-1}$. What is the rate constant (in $\mathrm{min}^{-1}$ )?
TG EAPCET 2024 (Online) 10th May Evening Shift
3
The decomposition of benzene diazonium chloride is a first order reaction. The time taken for its decomposition to $\frac{1}{4}$ and $\frac{1}{10}$ of its initial concentration are $t_{\frac{1}{4}}$ and $t_{\frac{1}{4}}^{10}$ respectively. The value of $\frac{t_{\frac{1}{4}}^4}{t_1} \times 100$ is (Give: $\log 2=0.3$ )
TG EAPCET 2024 (Online) 10th May Morning Shift
4
Consider the gaseous reaction,
$$
A_2+B_2 \longrightarrow 2 A B
$$
The following data was obtained for the above reaction.
The value of rate constant for the above reaction is
| [A₂]₀ | [B₂]₀ | Initial rate of formation of AB (mol L⁻¹ s⁻¹) |
| 0.1 M | 0.1 M | 2.5 × 10⁻⁴ |
| 0.2 M | 0.1 M | 5.0 × 10⁻⁴ |
| 0.2 M | 0.1 M | 1.0 × 10⁻³ |
TG EAPCET 2024 (Online) 9th May Evening Shift
5
For a first order reaction, a plot of $\ln k\left(Y\right.$-axis) and $\frac{1}{T}$ $(X$-axis) gave the straight line with slope equal to $-10^3 \mathrm{~K}$ and intercept equal to 2.303 ( on $Y$-axis). What is the activation energy ( $E_a$ in $\mathrm{kJ} \mathrm{mol}^{-1}$ ) of the reaction? (Given, $R=8314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}$ )
TG EAPCET 2024 (Online) 9th May Morning Shift
6
If benzene diazonium chloride undergoes first order decomposition at $T(\mathrm{~K})$ with a rate constant of $6.93 \times 10^{-2} \mathrm{~min}^{-1}$, the time for completion of $90 \%$ of the reaction (in min ) is (nearest integer) $(\log 2=0.30$, $\log 3=0.477$ )
TS EAMCET 2023 (Online) 12th May Morning Shift