In Carius method for estimation of halogens, 180 mg of an organic compound produced 143.5 mg of AgCl. The percentage composition of chlorine in the compound is ___________%. [Given: Molar mass in g mol\(^{-1}\) of Ag = 108, Cl = 35.5]
Consider the following reaction occurring in the blast furnace. \[ {Fe}_3{O}_4(s) + 4{CO}(g) \rightarrow 3{Fe}(l) + 4{CO}_2(g) \] ‘x’ kg of iron is produced when \(2.32 \times 10^3\) kg \(Fe_3O_4\) and \(2.8 \times 10^2 \) kg CO are brought together in the furnace.
The value of ‘x’ is __________ (nearest integer).
The center of a disk of radius $ r $ and mass $ m $ is attached to a spring of spring constant $ k $, inside a ring of radius $ R>r $ as shown in the figure. The other end of the spring is attached on the periphery of the ring. Both the ring and the disk are in the same vertical plane. The disk can only roll along the inside periphery of the ring, without slipping. The spring can only be stretched or compressed along the periphery of the ring, following Hooke’s law. In equilibrium, the disk is at the bottom of the ring. Assuming small displacement of the disc, the time period of oscillation of center of mass of the disk is written as $ T = \frac{2\pi}{\omega} $. The correct expression for $ \omega $ is ( $ g $ is the acceleration due to gravity): 
Let $ a_0, a_1, ..., a_{23} $ be real numbers such that $$ \left(1 + \frac{2}{5}x \right)^{23} = \sum_{i=0}^{23} a_i x^i $$ for every real number $ x $. Let $ a_r $ be the largest among the numbers $ a_j $ for $ 0 \leq j \leq 23 $. Then the value of $ r $ is ________.
Chemical Reactions go with the breaking and bonding of covalent bonds which involve of exchange of electrons. The functional groups of Organic compounds play a consequential role in the process. Based on the above theory, reactions can be classified into five main groups:
Rearrangement Reactions are the type of reactions in which products get formed simply by the rearrangement of atoms and electrons in the reactant molecules.
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NH4CNO → NH2 –C – NH2
Substitution Reactions are the reactions in which an atom or group of atoms is replaced by some other atom or group of atoms without any change in the structure of the remaining part of the molecule.
CH3Br + KOH (aqueous) → CH3OH + KBr
Addition Reactions are the reactions in which products get formed by the addition of some reagent to an unsaturated compound.
CH2 = CH2 + HCl → CH5Cl
Elimination Reactions are the reactions in which the products get formed by the loss of simple molecules like HX from the reactant molecules.
C2H5OH → C2H4
A polymerization Reaction is the union of two or more molecules of a substance that form a single molecule with higher molecular weight.
n (CH = CH2) → (-CH2 – CH2 -) n