Question

The rate constant $\left(k\right)$ of a reaction is measured at different temperature $\left(T\right)$, and the data are plotted in the given figure. the activation energy of the reaction in ${\mathrm{kJmol}}^{-1}$ is : $(\mathrm{R}$ is gas constant)

JEE Main 2020 (05 Sep Shift 2)

Options

• A: $2/R$
• B: $1/R$
• C: $R$
• D: $2R$

Question

Consider the following reactions
$\mathrm{A}\to \mathrm{P}1;\mathrm{B}\to \mathrm{P}2;\mathrm{C}\to \mathrm{P}3;\mathrm{D}\to \mathrm{P}4$
The order of the above reactions are $\mathrm{a}, \mathrm{b}, \mathrm{c} \mathrm{and} \mathrm{d},$respectively. The following graph is obtained when log[rate] vs.log[conc.] are plotted:

  
Among the following, the correct sequence for the order of the reactions is :

JEE Main 2020 (06 Sep Shift 1)

Options

• A: $\mathrm{d}>\mathrm{a}>\mathrm{b}>\mathrm{c}$
• B: $\mathrm{a}>\mathrm{b}>\mathrm{c}>\mathrm{d}$
• C: $\mathrm{c}>\mathrm{a}>\mathrm{b}>\mathrm{d}$
• D: $\mathrm{d}>\mathrm{b}>\mathrm{a}>\mathrm{c}$

Question

The rate of a reaction decreased by $3.555$ times when the temperature was changed from $40 °\mathrm{C} \mathrm{to} 30 °\mathrm{C}$. the activation energy (in $\mathrm{kJ} {\mathrm{mol}}^{-1}$) of the reaction is ________ .

JEE Main 2020 (06 Sep Shift 2)

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Question

Which one of the following given graphs represents the variation of rate constant $\left(\mathrm{k}\right)$ with temperature $\left(\mathrm{T}\right)$ for an endothermic reaction?

JEE Main 2021 (01 Sep Shift 2)

Options

• A:
• B:
• C:
• D:

Question

For the following graphs, 

Choose from the options given below, the correct one regarding order of reaction is :

JEE Main 2021 (25 Jul Shift 1)

Options

• A: (b) zero order (c) and (e) First order
• B: (a) and (b) Zero order (e) First order
• C: (b) and (d) Zero order (e) First order
• D: (a) and (b) Zero order (c) and (e) First order

Question

The decomposition of formic acid on gold surface follows first order kinetics. If the rate constant at $300 \mathrm{K}$ is $1.0\times {10}^{-3}{ \mathrm{s}}^{-1}$ and the activation energy ${\mathrm{E}}_{\mathrm{a}}=11.488 \mathrm{kJ}{ \mathrm{mol}}^{-1}$, the rate constant at $200 \mathrm{K}$ is _________ $\times {10}^{-5}{ \mathrm{s}}^{-1}$. (Round of to the Nearest Integer).

(Given $\mathrm{R}=8.314 \mathrm{J}{ \mathrm{mol}}^{-1}{ \mathrm{K}}^{-1}$)

JEE Main 2021 (16 Mar Shift 1)

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Question

$2\mathrm{NO}\left(\mathrm{g}\right)+{\mathrm{Cl}}_2( \mathrm{g})\rightleftharpoons 2\mathrm{NOCl}\left(\mathrm{s}\right)$
This reaction was studied at $-10°\mathrm{C}$ and the following data was obtained

$\begin{array}{cccc}\mathrm{run}& [\mathrm{NO}{]}_0& {\left[{\mathrm{Cl}}_2\right]}_0& \hspace{0.25em}\hspace{0.25em}\hspace{0.25em}{\mathrm{r}}_0\\ 1& 0.10& 0.10& 0.18\\ 2& 0.10& 0.20& 0.35\\ 3& 0.20& 0.20& 1.40\end{array}$

$[\mathrm{NO}{]}_0$ and ${\left[{\mathrm{Cl}}_2\right]}_0$ are the initial concentrations and ${\mathrm{r}}_0$ is the initial reaction rate. The overall order of the reaction is
(Round off to the Nearest Integer).

JEE Main 2021 (18 Mar Shift 1)

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Question

A reaction has a half life of $1 \min$. The time required for $99.9\%$ completion of the reaction is ___ min. (Round off to the Nearest integer)
[Use : $\ln 2=0.69,\ln 10=2.3$]

JEE Main 2021 (18 Mar Shift 2)

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Question

For the reaction, $\mathrm{aA}+\mathrm{bB}\to \mathrm{cC}+\mathrm{dD},$ the plot of $\log \mathrm{k}$ v/s $\frac{1}{ \mathrm{T}}$ is given below:

The temperature at which the rate constant of the reaction is ${10}^{-4} {\mathrm{s}}^{-1}$ is _____ $\mathrm{K}.$
(Rounded-off to the nearest integer) [Given : The rat5e constant of the reaction is ${10}^{-5} {\mathrm{s}}^{-1}$ at $500 \mathrm{K}$.]

JEE Main 2021 (25 Feb Shift 1)

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Question

The following data was obtained for chemical reaction given below at $975 \mathrm{K}$.

$2{\mathrm{NO}}_{\left(\mathrm{g}\right)}+2{\mathrm{H}}_{2( \mathrm{g})}\to {\mathrm{N}}_{2( \mathrm{g})}+2{\mathrm{H}}_2{\mathrm{O}}_{\left(\mathrm{g}\right)}$

$\begin{array}{cccc} & \left[\mathrm{NO}\right]& \left[{\mathrm{H}}_2\right]& \mathrm{Rate}\\ & \text{ mol }{\mathrm{L}}^{-1}& \text{ mol }{\mathrm{L}}^{-1}& {\mathrm{molL}}^{-1}{ \mathrm{s}}^{-1}\\ \left(A\right)& 8\times {10}^{-5}& 8\times {10}^{-5}& 7\times {10}^{-9}\\ \left(B\right)& 24\times {10}^{-5}& 8\times {10}^{-5}& 2.1\times {10}^{-8}\\ \left(C\right)& 24\times {10}^{-5}& 32\times {10}^{-5}& 8.4\times {10}^{-8}\end{array}$

The order of the reaction with respect to $\mathrm{NO}$_____ is [Integer answer]

JEE Main 2021 (26 Aug Shift 1)

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Question

The rate constants for decomposition of acetaldehyde have been measured over the temperature range $700-1000 \mathrm{K}$. The data has been analysed by plotting $\mathrm{lnk}$ vs $\frac{{10}^3}{ \mathrm{T}}$ graph. The value of activation energy for the reaction is ${\mathrm{kJmol}}^{-1}$. (Nearest integer) (Given : $\mathrm{R}=8.31 \mathrm{J}{\mathrm{K}}^{-1}{ \mathrm{mol}}^{-1}$)

JEE Main 2022 (24 Jun Shift 1)

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Question

The half life for the decomposition of gaseous compound $\mathrm{A}$ is $240 \mathrm{s}$ when the gaseous pressure was $500$ Torr initially. When the pressure was $250$ Torr, the half life was found to be $4.0 \min$. The order of the reaction is _____ (Nearest integer)

JEE Main 2022 (25 Jul Shift 1)

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Question

The reaction between $\mathrm{X}$ and $\mathrm{Y}$ is first order with respect to $\mathrm{X}$ and zero order with respect to $\mathrm{Y}$.

Examine the data of table and calculate ratio of numerical values of $\mathrm{M}$ and $\mathrm{L}$.

JEE Main 2022 (29 Jul Shift 1)

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Question

An organic compound undergoes first order decomposition. If the time taken for the $60\%$ decomposition is $540 \mathrm{s}$, then the time required for $90\%$ decomposition will be is _____ s. (Nearest integer).

Given : $\ln 10=2.3;\log 2=0.3$

JEE Main 2023 (30 Jan Shift 2)

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Question

For the adsorption of hydrogen on platinum, the activation energy is $30 \mathrm{kJ} {\mathrm{mol}}^{–1}$ and for the adsorption of hydrogen on nickel, the activation energy is $41.4 \mathrm{kJ} {\mathrm{mol}}^{–1}.$ The logarithm of the ratio of the rates of chemisorption on equal areas of the metals at $300 \mathrm{K}$ is $\_\_\_\_\_\_\_$ (Nearest integer)

Given: $\mathrm{In}10=2.3$

$\mathrm{R}=8.3 \mathrm{J} {\mathrm{K}}^{-1} {\mathrm{mol}}^{-1}$

JEE Main 2023 (06 Apr Shift 1)

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Question

Consider the following reaction, the rate expression of which is given below \[ \begin{aligned} & \mathrm{A}+\mathrm{B} \rightarrow \mathrm{C} \\ & \text { rate }=\mathrm{k}[\mathrm{A}]^{1 / 2}[\mathrm{~B}]^{1 / 2} \end{aligned} \] The reaction is initiated by taking \(1 \mathrm{M}\) concentration of \(\mathrm{A}\) and \(\mathrm{B}\) each. If the rate constant \((\mathrm{k})\) is \(4.6 \times 10^{-2} \mathrm{~s}^{-1}\), then the time taken for \(\mathrm{A}\) to become \(0.1 \mathrm{M}\) is ______ sec. (nearest integer)

JEE Main 2024 (04 Apr Shift 2)

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Question

During Kinetic study of reaction \(2 A+B \rightarrow C+D\), the following results were obtained : \(\begin{array}{llll} & \text { A [M] } & \text { B [M] } & \text { initial rate of formation of D } \\ \text { I } & 0.1 & 0.1 & 6.0 \times 10^{-3} \\ \text { II } & 0.3 & 0.2 & 7.20 \times 10^{-2} \\ \text { III } & 0.3 & 0.4 & 2.88 \times 10^{-1} \\ \text { IV } & 0.4 & 0.1 & 2.40 \times 10^{-2} \\ \end{array}\) Based on above data, overall order of the reaction is ______

JEE Main 2024 (05 Apr Shift 1)

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Question

Consider the following reaction \[ \mathrm{A}+\mathrm{B} \rightarrow \mathrm{C} \] The time taken for \(\mathrm{A}\) to become \(1 / 4^{\text {th }}\) of its initial concentration is twice the time taken to become \(1 / 2\) of the same. Also, when the change of concentration of \(B\) is plotted against time, the resulting graph gives a straight line with a negative slope and a positive intercept on the concentration axis. The overall order of the reaction is _______

JEE Main 2024 (08 Apr Shift 1)

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Question

${\mathrm{NO}}_2$ required for a reaction is produced by decomposition of ${\mathrm{N}}_2{\mathrm{O}}_5$ in ${\mathrm{CCl}}_4$ as by equation $2{\mathrm{N}}_2{\mathrm{O}}_{5( \mathrm{g})}\to 4{\mathrm{NO}}_{2( \mathrm{g})}+{\mathrm{O}}_{2( \mathrm{g})}$
The initial concentration of ${\mathrm{N}}_2{\mathrm{O}}_5$ is $3 \mathrm{mol} {\mathrm{L}}^{-1}$ and it is $2.75 \mathrm{mol} {\mathrm{L}}^{-1}$ after $30$ minutes.
The rate of formation of ${\mathrm{NO}}_2$ is $\mathrm{x}\times {10}^{-3} \mathrm{mol} {\mathrm{L}}^{-1}$ $\min -1$, value of $\mathrm{x}$ is ________.

JEE Main 2024 (30 Jan Shift 2)

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Question

$\mathrm{r}=\mathrm{k}\left[\mathrm{A}\right]$ for a reaction, $50\%$ of $\mathrm{A}$ is decomposed in $120$ minutes. The time taken for $90\%$ decomposition of $\mathrm{A}$ is ______ minutes.

JEE Main 2024 (31 Jan Shift 2)

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Question

The following data were obtained during the first order thermal decomposition of a gas $\mathrm{A}$ at constant volume:

$\mathrm{A}\left(\mathrm{g}\right)\to 2 \mathrm{B}\left(\mathrm{g}\right)+\mathrm{C}\left(\mathrm{g}\right)$

S. No                 Time/s                 Total pressure/(atm)

$1.$                        $0$                        $0.1$

 $2.$                      $115$                     $0.28$

The rate constant of the reaction is _______ $\times {10}^{-2}{\mathrm{s}}^{-1}$ (nearest integer)       

JEE Main 2024 (01 Feb Shift 2)

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Question

Time required for completion of $99.9\%$ of first order reaction is ________ times of half life $\left({\mathrm{t}}_{1/2}\right)$ of the reaction

JEE Main 2024 (27 Jan Shift 2)

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Question

The rate of first order reaction is $0.04 \mathrm{mol} {\mathrm{L}}^{-1} {\mathrm{s}}^{-1}$ at $10$ minutes and $0.03 \mathrm{mol} {\mathrm{L}}^{-1} {\mathrm{s}}^{-1}$ at $20$ minutes after initiation. Half life of the reaction is ______ minutes. (Given $\log 2=0.3010,\log 3=0.4771)$

Round off your answer to the nearest integer.

JEE Main 2024 (30 Jan Shift 1)

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Question

Integrated rate law equation for a first order gas phase reaction is given by (where $P_i$ is initial pressure and $P_t$ is total pressure at time $t$)

JEE Main 2024 (31 Jan Shift 1)

Options

• A: $k=\frac{2.303}{t}\times \log \frac{P_i}{\left(2P_i-P_t\right)}$
• B: $k=\frac{2.303}{t}\times \log \frac{2P_i}{\left(2P_i-P_t\right)}$
• C: $k=\frac{2.303}{t}\times \log \frac{\left(2P_i-P_t\right)}{P_i}$
• D: $k=\frac{2.303}{t}\times \frac{P_i}{\left(2P_i-P_t\right)}$

Question

Consider the following data for the given reaction
$2{\mathrm{HI}}_{\left(\mathrm{g}\right)}\to {\mathrm{H}}_{2( \mathrm{g})}+{\mathrm{I}}_{2( \mathrm{g})}$

$\begin{array}{llll}\mathrm{HI}\left({\mathrm{molL}}^{-1}\right)& 0.005& 0.01 & 0.02\end{array}$

Rate $\left({\mathrm{molL}}^{-1} {\mathrm{s}}^{-1}\right) 7.5\times {10}^{-4} 3.0\times {10}^{-3} 1.2\times {10}^{-2}$

The order of the reaction is __________.

JEE Main 2024 (27 Jan Shift 1)

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