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## Numerical

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Assuming $$1 \,\mu \mathrm{g}$$ of trace radioactive element X with a half life of 30 years is absorbed by a growing tre...
JEE Main 2022 (Online) 29th July Evening Shift
The reaction between X and Y is first order with respect to X and zero order with respect to Y. .tg {border-collapse:c...
JEE Main 2022 (Online) 29th July Morning Shift
For a reaction, given below is the graph of $$\ln k$$ vs $${1 \over T}$$. The activation energy for the reaction is equa...
JEE Main 2022 (Online) 28th July Evening Shift
For the given first order reaction $$\mathrm{A} \rightarrow \mathrm{B}$$ the half life of the reaction is $$0.3010 \math... JEE Main 2022 (Online) 28th July Morning Shift$$\mathrm{K}_{\mathrm{a}}$$for butyric acid$$\left(\mathrm{C}_{3} \mathrm{H}_{7} \mathrm{COOH}\right)$$is$$2 \times ...
JEE Main 2022 (Online) 28th July Morning Shift
$$\matrix{ {[A]} & \to & {[B]} \cr {{\mathop{\rm Reactant}\nolimits} } & {} & {{\mathop{\rm Product}\nolimits}... JEE Main 2022 (Online) 27th July Evening Shift$$2 \mathrm{NO}+2 \mathrm{H}_{2} \rightarrow \mathrm{N}_{2}+2 \mathrm{H}_{2} \mathrm{O}$$The above reaction has been st... JEE Main 2022 (Online) 27th July Morning Shift For a reaction$$\mathrm{A} \rightarrow 2 \mathrm{~B}+\mathrm{C}$$the half lives are$$100 \mathrm{~s}$$and$$50 \math...
JEE Main 2022 (Online) 26th July Morning Shift
For the decomposition of azomethane. CH3N2CH3(g) $$\to$$ CH3CH3(g) + N2(g), a first order reaction, the variation in par...
JEE Main 2022 (Online) 25th July Evening Shift
The half life for the decomposition of gaseous compound $$\mathrm{A}$$ is $$240 \mathrm{~s}$$ when the gaseous pressure ...
JEE Main 2022 (Online) 25th July Morning Shift
For the reaction P $$\to$$ B, the values of frequency factor A and activation energy EA are 4 $$\times$$ 1013 s$$-$$1 an...
JEE Main 2022 (Online) 30th June Morning Shift
The rate constants for decomposition of acetaldehyde have been measured over the temperature range 700 - 1000 K. The dat...
JEE Main 2022 (Online) 24th June Morning Shift
For a given chemical reaction $$\gamma$$1A + $$\gamma$$2B $$\to$$ $$\gamma$$3C + $$\gamma$$4D Concentration of C changes...
JEE Main 2022 (Online) 25th June Morning Shift
At 345 K, the half life for the decomposition of a sample of a gaseous compound initially at 55.5 kPa was 340 s. When th...
JEE Main 2022 (Online) 25th June Evening Shift
Catalyst A reduces the activation energy for a reaction by 10 kJ mol$$-$$1 at 300 K. The ratio of rate constants, $${{{}... JEE Main 2022 (Online) 26th June Evening Shift A flask is filled with equal moles of A and B. The half lives of A and B are 100 s and 50 s respectively and are indepen... JEE Main 2022 (Online) 26th June Morning Shift The rate constant for a first order reaction is given by the following equation:$$\ln k = 33.24 - {{2.0 \times {{10}^4}...
JEE Main 2022 (Online) 27th June Morning Shift
It has been found that for a chemical reaction with rise in temperature by 9 K the rate constant gets doubled. Assuming ...
JEE Main 2022 (Online) 27th June Evening Shift
pH value of 0.001 M NaOH solution is ____________.
JEE Main 2022 (Online) 27th June Evening Shift
For a first order reaction A $$\to$$ B, the rate constant, k = 5.5 $$\times$$ 10$$-$$14 s$$-$$1. The time required for 6...
JEE Main 2022 (Online) 28th June Morning Shift
The solubility product of a sparingly soluble salt A2X3 is 1.1 $$\times$$ 10$$-$$23. If specific conductance of the solu...
JEE Main 2022 (Online) 28th June Morning Shift
A radioactive element has a half life of 200 days. The percentage of original activity remaining after 83 days is ______...
JEE Main 2022 (Online) 28th June Evening Shift
The equation k = (6.5 $$\times$$ 1012s$$-$$1)e$$-$$26000K/T is followed for the decomposition of compound A. The activat...
JEE Main 2022 (Online) 29th June Evening Shift
The activation energy of one of the reactions in a biochemical process is 532611 J mol$$-$$1. When the temperature falls...
JEE Main 2022 (Online) 29th June Morning Shift
For the reaction A $$\to$$ B, the rate constant k(in s$$-$$1) is given by$${\log _{10}}k = 20.35 - {{(2.47 \times {{10}^... JEE Main 2021 (Online) 31st August Evening Shift According to the following figure, the magnitude of the enthalpy change of the reactionA + B$$\to$$M + N in kJ mol$$-$... JEE Main 2021 (Online) 31st August Morning Shift For a first order reaction, the ratio of the time for 75% completion of a reaction to the time for 50% completion is ___... JEE Main 2021 (Online) 31st August Morning Shift The first order rate constant for the decomposition of CaCO3 at 700 K is 6.36 $$\times$$ 10$$-$$3s$$-$$1 and activation ... JEE Main 2021 (Online) 27th August Evening Shift The reaction that occurs in a breath analyser, a device used to determine the alcohol level in a person's blood stream i... JEE Main 2021 (Online) 27th August Morning Shift The reaction rate for the reaction[PtCl4]2$$-$$ + H2O $$\rightleftharpoons$$ [Pt(H2O)Cl3]$$-$$ + Cl$$-$$was measured as ... JEE Main 2021 (Online) 26th August Evening Shift The overall stability constant of the complex ion [Cu(NH3)4]2+ is 2.1 $$\times$$ 1013. The overall dissociations constan... JEE Main 2021 (Online) 26th August Evening Shift The following data was obtained for chemical reaction given below at 975 K.2NO(g) + 2H2(g) $$\to$$ N2(g) + 2H2O(g)The or... JEE Main 2021 (Online) 26th August Morning Shift For the first order reaction A $$\to$$ 2B, 1 mole of reactant A gives 0.2 moles of B after 100 minutes. The half life of... JEE Main 2021 (Online) 27th July Evening Shift For a chemical reaction A $$\to$$ B, it was found that concentration of B is increased by 0.2 mol L$$-$$ in 30 min. The ... JEE Main 2021 (Online) 25th July Evening Shift $${N_2}{O_{5(g)}} \to 2N{O_{2(g)}} + {1 \over 2}{O_{2(g)}}$$In the above first order reaction the initial concentration ... JEE Main 2021 (Online) 22th July Evening Shift $$PC{l_5}(g) \to PC{l_3}(g) + C{l_2}(g)$$In the above first order reaction the concentration of PCl5 reduces from initia... JEE Main 2021 (Online) 20th July Evening Shift The inactivation rate of a viral preparation is proportional to the amount of virus. In the first minute after preparati... JEE Main 2021 (Online) 20th July Morning Shift A reaction has a half life of 1 min. The time required for 99.9% completion of the reaction is _________ min. (Round off... JEE Main 2021 (Online) 18th March Evening Shift 2NO(g) + Cl2(g) $$\rightleftharpoons$$ 2NOCl(s) This reaction was studied at $$-$$10$$^\circ$$ and the following data w... JEE Main 2021 (Online) 18th March Morning Shift The reaction 2A + B2 $$\to$$ 2AB is an elementary reaction.For a certain quantity of reactants, if the volume of the r... JEE Main 2021 (Online) 17th March Evening Shift For a certain first order reaction 32% of the reactant is left after 570s. The rate constant of this reaction is _______... JEE Main 2021 (Online) 17th March Morning Shift A and B decompose via first order kinetics with half-lives 54.0 min and 18.0 min respectively. Starting from an equimola... JEE Main 2021 (Online) 16th March Evening Shift The decomposition of formic acid on gold surface follows first order kinetics. If the rate constant at 300 K is 1.0 $$\t... JEE Main 2021 (Online) 16th March Morning Shift If the activation energy of a reaction is 80.9 kJ mol$$-$$1, the fraction of molecules at 700 K, having enough energy to... JEE Main 2021 (Online) 26th February Evening Shift The rate constant of a reaction increases by five times on increase in temperature from 27$$^\circ$$C to 52$$^\circ$$C. ... JEE Main 2021 (Online) 25th February Evening Shift For the reaction, aA + bB$$ \to $$cC + dD, the plot of log k vs$${1 \over T}$$is given below :The temperature at whi... JEE Main 2021 (Online) 25th February Morning Slot Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with a half-life of 3.33 h ... JEE Main 2021 (Online) 24th February Evening Slot Gaseous cyclobutene isomerises to butadiene in a first order process which has a 'k' value of 3.3$$ \times $$10-4 s-1 ... JEE Main 2021 (Online) 24th February Morning Slot The rate of a reaction decreased by 3.555 times when the temperature was changed from 40oC to 30oC. The activation energ... JEE Main 2020 (Online) 6th September Evening Slot If the solubility product of AB2 is 3.20$$ \times $$10–11 M3, then the solubility of AB2 in pure water is _____$$ \ti... JEE Main 2020 (Online) 6th September Evening Slot The number of molecules with energy greater than the threshold energy for a reaction increases five fold by a rise of te... JEE Main 2020 (Online) 4th September Evening Slot If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximate... JEE Main 2020 (Online) 4th September Morning Slot During the nuclear explosion, one of the products is 90Sr with half life of 6.93 years. If 1 $$\mu$$ g of 90Sr was abso... JEE Main 2020 (Online) 7th January Morning Slot ## MCQ (Single Correct Answer) More At $$30^{\circ} \mathrm{C}$$, the half life for the decomposition of $$\mathrm{AB}_{2}$$ is $$200 \mathrm{~s}$$ and is i... JEE Main 2022 (Online) 26th July Evening Shift $${K_{{a_1}}}$$, $${K_{{a_2}}}$$ and $${K_{{a_3}}}$$ are the respective ionization constants for the following reactions... JEE Main 2022 (Online) 25th July Evening Shift The equilibrium constant for the reversible reaction 2A(g) $$\rightleftharpoons$$ 2B(g) + C(g) is K1 $${3 \over 2}$$A(g)... JEE Main 2022 (Online) 30th June Morning Shift For a first order reaction, the time required for completion of 90% reaction is 'x' times the half life of the reaction.... JEE Main 2022 (Online) 24th June Evening Shift The solubility of AgCl will be maximum in which of the following? JEE Main 2022 (Online) 29th June Morning Shift Which one of the following given graphs represents the variation of rate constant (k) with temperature (T) for an endoth... JEE Main 2021 (Online) 1st September Evening Shift For a reaction of order n, the unit of the rate constant is : JEE Main 2021 (Online) 27th July Morning Shift For the following graphs,Choose from the options given below, the correct one regarding order of reaction is :... JEE Main 2021 (Online) 25th July Morning Shift Isotope(s) of hydrogen which emits low energy $$\beta$$$$-$$ particles with t1/2 value &gt; 12 years is/are... JEE Main 2021 (Online) 22th July Evening Shift Given below are two statements :Statement I : The pH of rain water is normally $$-$$ 5.6.Statement II : If the pH of rai... JEE Main 2021 (Online) 25th February Evening Shift The value of KC is 64 at 800 K for the reaction N2(g) + 3H2(g) ⇌ 2NH3(g) The value of KC for the following reaction is :... JEE Main 2020 (Online) 6th September Evening Slot Consider the following reactions A $$\to$$ P1 ; B $$\to$$ P2 ; C $$\to$$ P3 ; D $$\to$$ P4, The order of the abo... JEE Main 2020 (Online) 6th September Morning Slot The rate constant (k) of a reaction is measured at differenct temperatures (T), and the data are plotted in the given fi... JEE Main 2020 (Online) 5th September Evening Slot A flask contains a mixture of compounds A and B. Both compounds decompose by first-order kinetics. The half-lives for A ... JEE Main 2020 (Online) 5th September Morning Slot For the reaction 2A + 3B + $${3 \over 2}$$C $$\to$$ 3P, which statement is correct ? JEE Main 2020 (Online) 3rd September Evening Slot It is true that : JEE Main 2020 (Online) 3rd September Morning Slot The results given in the below table were obtained during kinetic studies of the following reaction 2A + B $$\to$$ C +... JEE Main 2020 (Online) 2nd September Evening Slot For the following reactions $$A\buildrel {700K} \over \longrightarrow {\mathop{\rm Product}\nolimits}$$ $$A\mathrel{\m... JEE Main 2020 (Online) 9th January Morning Slot Consider the following plots of rate constant versus$${1 \over T}$$for four different reactions. Which of the followin... JEE Main 2020 (Online) 8th January Evening Slot The rate of a certain biochemical reaction at physiological temperature (T) occurs 106 times faster with enzyme than wit... JEE Main 2020 (Online) 8th January Morning Slot For the reaction 2H2(g) + 2NO(g)$$ \to $$N2(g) + 2H2O(g) the observed rate expression is, rate = Kf[NO]2[H2]. The rate... JEE Main 2020 (Online) 7th January Evening Slot NO2 required for a reaction is produced by the decomposition of N2O5 in CCl4 as per the equation, 2N2O5(g)$$ \to $$4NO... JEE Main 2019 (Online) 12th April Evening Slot In the following reaction; xA$$ \to $$yB$${\log _{10}}\left[ { - {{d\left[ A \right]} \over {dt}}} \right] = {\log _{... JEE Main 2019 (Online) 12th April Morning Slot For the reaction of H2 with I2, the rate constant is 2.5 × 10–4 dm3 mol–1s–1 at 327°C and 1.0 dm3 mol–1 at 527°C. Th... JEE Main 2019 (Online) 10th April Evening Slot A bacterial infection in an internal wound grows as N'(t) = N0 exp(t), where the time t is in hours. A does of antibioti... JEE Main 2019 (Online) 10th April Morning Slot The given plots represent the variation of the concentration of a reactant R with time for two different reactions (i) a... JEE Main 2019 (Online) 9th April Morning Slot For a reaction scheme $$A\buildrel {{k_1}} \over \longrightarrow B\buildrel {{k_2}} \over \longrightarrow C$$, if the... JEE Main 2019 (Online) 8th April Evening Slot If solublity product of Zr3(PO4)4 is denoted by Ksp and its molar solubility is denoted by S, then which of the followin... JEE Main 2019 (Online) 8th April Morning Slot For the reaction 2A + B $$\to$$ C, the values of initial rate at diffrent reactant concentrations are given in the tab... JEE Main 2019 (Online) 8th April Morning Slot For a reaction consider the plot of $$\ell$$n k versus 1/T given in the figure. If the rate constant of this reaction a... JEE Main 2019 (Online) 12th January Evening Slot Decomposition of X exhibits a rate constant of 0.05 $$\mu$$g/year. How many year are required for the decomposition of ... JEE Main 2019 (Online) 12th January Morning Slot The reaction 2X $$\to$$ B is a zeroth order reaction. If the initial concentration of X is 0.2 M, the half-life is 6 h... JEE Main 2019 (Online) 11th January Evening Slot $$\underline A \,\,\buildrel {4KOH,{O_2}} \over \longrightarrow \,\,\mathop {2\underline B }\limits_{\left( {Green} \ri... JEE Main 2019 (Online) 11th January Evening Slot If a reaction follows the Arrhenius equation, the plot ln k vs$${1 \over {\left( {RT} \right)}}$$gives straight line w... JEE Main 2019 (Online) 11th January Morning Slot For an elementary chemical reaction, the expression for$${{d\left[ A \right]} \over {dt}}$$is ... JEE Main 2019 (Online) 10th January Evening Slot Consider the given plots for a reaction obeying Arrhenius equation (0oC &lt; T &lt; 300oC) : (K and Ea are rate constant... JEE Main 2019 (Online) 10th January Morning Slot Which of the graphs shown below does not represent the relationship between incident light and the electron ejected from... JEE Main 2019 (Online) 10th January Morning Slot Consider the following reversible chemical reactions : The relation between K1 and K2 is : ... JEE Main 2019 (Online) 9th January Evening Slot For the reaction, 2A + B$$ \to $$&nbsp;products, when the concentrations of A and B both were doubled, the rate of the ... JEE Main 2019 (Online) 9th January Evening Slot The following results were obtained during kinetic studies of the reaction ; 2A + B$$ \to $$&nbsp;Products .tg {bord... JEE Main 2019 (Online) 9th January Morning Slot If 50% of a reaction occurs in 100 second and 75% of the reaction occurs in 200 secod, the order of this reaction is : JEE Main 2018 (Online) 16th April Morning Slot For a first order reaction, A$$ \to $$P, t1/2 (half-life) is 10 days The time required for$${1 \over 4}$$th conversio... JEE Main 2018 (Online) 15th April Evening Slot N2O5 decomposes to NO2 and O2 and follows first order kinetics. After 50 minutes, the pressure inside the vessel increas... JEE Main 2018 (Online) 15th April Morning Slot At 518oC the rate of decomposition of a sample of gaseous acetaldehyde initially at a pressure of 363 Torr, was 1.00 Tor... JEE Main 2018 (Offline) The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction... JEE Main 2017 (Online) 9th April Morning Slot The rate of a reaction A doubles on increasing the temperature from 300 to 310 K. By how much, the temperature of reacti... JEE Main 2017 (Online) 8th April Morning Slot Two reactions R1 and R2 have identical pre-exponential factors. Activation energy of R1 exceeds that of R2 by 10 kJ mol–... JEE Main 2017 (Offline) The rate law for the reaction below is given by the expression k [A] [B] A + B$$ \to $$Product If the concentration of... JEE Main 2016 (Online) 10th April Morning Slot The reaction of ozone with oxygen atoms in the presence of chlorine atoms can occur by a two step process shown below : ... JEE Main 2016 (Online) 9th April Morning Slot Decomposition of H2O2 follows a first order reaction. In fifty minutes the concentration of H2O2 decreases from 0.5 to 0... JEE Main 2016 (Offline) Higher order (&gt;3) reactions are rare due to JEE Main 2015 (Offline) For the non – stoichiometre reaction 2A + B$$\to$$C + D, the following kinetic data were obtained in three separate ex... JEE Main 2014 (Offline) The rate of a reaction doubles when its temperature changes from 300K to 310K. Activation energy of such a reaction will... JEE Main 2013 (Offline) For a first order reaction, (A)$$\to$$products, the concentration of A changes from 0.1 M to 0.025 M in 40 minutes. Th... AIEEE 2012 The rate of a chemical reaction doubles for every 10oC rise of temperature. If the temperature is raised by 50oC , the r... AIEEE 2011 The time for half life period of a certain reaction A$$\to$$products is 1 hour. When the initial concentration of the ... AIEEE 2010 Consider the reaction : Cl2(aq) + H2S(aq) → S(s) + 2H+ (aq) + 2Cl– (aq) The rate equation for this reaction is rate = k ... AIEEE 2010 The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of ... AIEEE 2009 For a reaction$${1 \over 2}A \to 2B$$rate of disappearance of ‘A’ is related to the rate of appearance of ‘B’ by the ... AIEEE 2008 Which of the following nuclear reactions will generate an isotope? AIEEE 2007 A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is... AIEEE 2007 Consider the reaction, 2A + B$$\to$$products. When concentration of B alone was doubled, the half-life did not change.... AIEEE 2007 The energies of activation for forward and reverse reactions for A2 + B2$$\leftrightharpoons$$2AB are 180 kJ mol−1 and... AIEEE 2007 The following mechanism has been proposed for the reaction of NO with Br2 to form NOBr: NO(g) + Br2 (g)$$\leftrighthar... AIEEE 2006 In the transformation of $${}_{92}^{238}U$$ to $${}_{92}^{234}U$$, if one emission is an α-particle, what should be the ... AIEEE 2006 A reaction was found to be second order with respect to the concentration of carbon monoxide. If the concentration of ca... AIEEE 2006 Rate of a reaction can be expressed by Arrhenius equation as: $$k = A\,{e^{ - E/RT}}$$$ In this equation, E represents...
AIEEE 2006
A schematic plot of $$ln$$ $${K_{eq}}$$ versus inverse of temperature for a reaction is shown below The reaction must ...
AIEEE 2005
t1/4 can be taken as the time taken for the concentration of a reactant to drop to $$3 \over 4$$ of its initial value. I...
AIEEE 2005
The photon of hard gamma radiation knocks a proton out of $${}_{12}^{24}Mg$$ nucleus to form
AIEEE 2005
A reaction involving two different reactants can never be
AIEEE 2005
Hydrogen bomb is based on the principle of
AIEEE 2005
The half – life of a radioisotope is four hours. If the initial mass of the isotope was 200 g, the mass remaining after ...
AIEEE 2004
Consider the following nuclear reactions $${}_{92}^{238}M \to {}_y^xN + {}_2^4He$$ $${}_y^xN \to {}_B^AL + 2{\beta ^ + }... AIEEE 2004 The rate equation for the reaction 2A + B$$\to$$C is found to be: rate k[A][B]. The correct statement in relation to t... AIEEE 2004 In a first order reaction, the concentration of the reactant decreases from 0.8 M to 0.4 M in 15 minutes. The time taken... AIEEE 2004 For the reaction system: 2NO(g) + O2(g)$$\to$$2NO2(g) volume is suddenly reduce to half its value by increasing the p... AIEEE 2003 The rate law for a reaction between the substances A and B is given by Rate = k[A]n [B]m On doubling the concentration o... AIEEE 2003 In respect of the equation k = Ae-Ea/RT in chemical kinetics, which one of the following statements is correct?... AIEEE 2003 The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g, the mass of it rem... AIEEE 2003 The radionucleide$${}_{90}^{234}Th$$undergoes two successive$$\beta$$-decays followed by one$$\alpha$$-decay. The a... AIEEE 2003 The integrated rate equation is Rt = log C0 - log Ct . The straight line graph is obtained by plotting... AIEEE 2002$$\beta$$- particle is emitted in radioactivity by AIEEE 2002 If half-life of a substance is 5 yrs, then the total amount of substance left after 15 years, when initial amount is 64 ... AIEEE 2002 The differential rate law for the reaction H2 + I2$$\to$$2HI is AIEEE 2002 For the reaction A + 2B$$\to C, rate is given by R = [A] [B]2 then the order of the reaction is
AIEEE 2002
Units of rate constant of first and zero order reactions in terms of molarity M unit are respectively
AIEEE 2002

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