Practice Questions

Q57.Consider the following first order gas phase reaction at constant temperature A(g) →2 B( g) + C(g) If the total pressure of the gases is found to be 200 torr after 23sec. and 300 torr upon the complete decomposition of A after a very long time, then the rate constant of the given reaction is ______ ×10−2 s−1 (nearest integer) [Given : log10(2) = 0.301]

Q57.Consider the following transformation involving first order elementary reaction in each step at constant Step 2 −temperature as shown below. A + B Step 1C → P Some details of the above reactions are listed below. Step 3 Step Rate constant (sec−1) Activation energy (kJ mol−1) 1 k1 300 If the overall rate constant of the above 2 k2 200 3 k3 Ea3 transformation (k) is given as k = k1k2 and the overall activation energy (Ea) is 400 kJ mol−1 , then the value k3 of Ea3 is kJmol−1 (nearest integer)

Q57.Consider the following redox reaction: MnO4- + H+ + H2C2O4 ⇌Mn2 + + H2O + CO2 The standard reduction potentials are given as below Ered° E0 = + 1 . 51 V; E0 = - 0 . 49 V CO2 / H2C2O4 MnO4- / Mn2 + If the equilibrium constant of the above reaction is given as Keq = 10x, then the value of x = _______ (nearest integer)

Q57.The fusion of chromite ore with sodium carbonate in the presence of air leads to the formation of products A and B along with the evolution of CO2 . The sum of spin-only magnetic moment values of A and B is ______ B.M. (Nearest integer) [Given atomic number : C : 6, Na : 11, O : 8, Fe : 26, Cr : 24]

Q58. The total number of hydrogen atoms in product 𝐴 and product 𝐵 is__________.

Q58.Major product B of the following reaction has _______ π-bond.

Q58.The following data were obtained during the first order thermal decomposition of a gas A at constant volume: Ag →2 Bg + Cg S. No Time/s Total pressure/(atm) 1 . 0 0 . 1 2 . 115 0 . 28 The rate constant of the reaction is _______ × 10-2s-1 (nearest integer)

Q58.The number of halobenzenes from the following that can be prepared by Sandmeyer's reaction is _______

Q58.Phthalimide is made to undergo following sequence of reactions. Total number of π bonds present in product 'P' is/are ______

Q59.Number of metal ions characterized by flame test among the following is _________. Sr2 + , Ba2 + , Ca2 + , Cu2 + , Zn2 + , Co2 + , Fe2 +

Q59.The number of the correct reaction(s) among the following is ______

Q59.For a reaction taking place in three steps at same temperature, overall rate constant K = K1K2 . If Ea1, Ea2 and K3 Ea3 are 40, 50 and 60 kJ / mol respectively, the overall Ea is _________ kJ / mol .

Q59.A transition metal ' M ' among Sc, Ti, V, Cr, Mn and Fe has the highest second ionisation enthalpy. The spin- only magnetic moment value of M+ ion is _______. BM (Near integer) (Given atomic number Sc : 21, Ti : 22, V : 23, Cr : 24, Mn : 25, Fe : 26)

Q60. The ratio of number of oxygen atoms to bromine atoms in the product Q is ______ ×10−1 .

Q60.The total number of carbon atoms present in tyrosine, an amino acid, is _______

Q60. Xg of ethanamine was subjected to reaction with NaNO2/HCl followed by hydrolysis to liberate N2 and HCl. The HCl generated was completely neutralised by 0.2 moles of NaOH. X is ______ g. ∈C : Im and S3 = {z ∈C : Re(z) ≥0}. Then the

Q60. M2+ + H2 S →A (Black precipitate) + by product Consider the following test for a group-IV cation. A + aqua regia →B + NOCl + S + H2O The B + KNO2 + CH3COOH →C + by product spin-only magnetic moment value of the metal complex C is ______ BM (Nearest integer)

Q61.If z = x + iy, xy ≠0, satisfies the equation z2 + iz = 0, then z2 is equal to : (1) 9 (2) 1 (3) 4 (4) 14

Q61.Consider the following two statements : Statement I : For any two non-zero complex numbers z1, z2 , (|z1| + |z2|) z1 + z2 ≤2 (|z1| + |z2|), and |z1| |z2| Statement II : If x, y, z are three distinct complex numbers and a, b, c are three positive real numbers such that |y−z| a = |z−x|b = |x−y|c , then y−za2 + z−xb2 + x−yc2 = 1. Between the above two statements, (1) Statement I is correct but Statement II is (2) both Statement I and Statement II are correct. incorrect. (3) both Statement I and Statement II are incorrect. (4) Statement I is incorrect but Statement II is correct.

Q81.Let α, β ∈ be roots of equation x2 −70x + λ = 0, where λ2 , λ3 ∉ . If λ assumes the minimum possible value, (√α−1+√β−1)(λ+35) then is equal to : |α−β|

Q81.Let the set C = {(x, y) ∣x2 −2y = 2023, x, y ∈N}. Then ∑(x,y)∈C(x y)

Q81.Let x1, x2, x3, x4 be the solution of the equation 4x4 + 8x3 −17x2 −12x + 9 = 0 and (4 + x21) (4 + x22) (4 + x23) (4 + x24) = 12516 m. Then the value of m is

Q81.Let a = 1 + 2C23! + 3C24! + 4C25! + … 1! + 2! + 3! + … Then 2b is equal to a2

Q82.The remainder when 4282024 is divided by 21 is__________

Q82.Let the first term of a series be T1 = 6 and its rth term Tr = 3Tr−1 + 6r, r = 2, 3, n. If the sum of the first n terms of this series is 1 (n2 −12n + 39) (4 ⋅6n −5 ⋅3n + 1), then n is equal to______ 5 JEE Main 2024 (06 Apr Shift 1) JEE Main Previous Year Paper