Arrange the following compounds in increasing order of their reactivity towards \( S_N2 \) displacement: 2-Bromo-2-methylbutane, 1-Bromopentane, 2-Bromopentane.
To solve the problem, we need to arrange the compounds 2-Bromo-2-methylbutane, 1-Bromopentane, and 2-Bromopentane in increasing order of their reactivity towards Sₓ2 displacement.
1. Understand Sₓ2 Reaction Mechanism:
Sₓ2 reactions involve a backside attack by the nucleophile, requiring access to the carbon attached to the leaving group (Br⁻). Reactivity decreases with increasing steric hindrance: primary (1°) > secondary (2°) > tertiary (3°).
2. Classify the Compounds:
- 2-Bromo-2-methylbutane: The carbon with Br is bonded to three other carbons (two methyl groups and one ethyl group), making it a tertiary (3°) halide.
- 1-Bromopentane: The carbon with Br is bonded to one other carbon, making it a primary (1°) halide.
- 2-Bromopentane: The carbon with Br is bonded to two other carbons, making it a secondary (2°) halide.
3. Assess Steric Hindrance:
- Tertiary (2-Bromo-2-methylbutane): High steric hindrance due to three alkyl groups, least reactive in Sₓ2.
- Secondary (2-Bromopentane): Moderate steric hindrance, more reactive than tertiary but less than primary.
- Primary (1-Bromopentane): Low steric hindrance, most reactive in Sₓ2.
4. Arrange in Increasing Order:
Reactivity increases as steric hindrance decreases: tertiary < secondary < primary.
Final Answer:
The compounds in increasing order of reactivity towards Sₓ2 displacement are: 2-Bromo-2-methylbutane < 2-Bromopentane < 1-Bromopentane.
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).

| S. No. | Particulars | Amount (in ₹ crore) |
|---|---|---|
| (i) | Operating Surplus | 3,740 |
| (ii) | Increase in unsold stock | 600 |
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| (iv) | Purchase of raw materials | 2,625 |
| (v) | Consumption of fixed capital | 500 |
| (vi) | Subsidies | 400 |
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