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For the reaction $H_2(g) + O_2(g) \rightleftharpoons 2H_2O(g)$ at 500 K, the equilibrium constant $K_c = 2.4 \times 10^{47}$. If, at a certain instant, the concentration quotient $Q_c$ is $1.0 \times 10^{40}$, in which direction will the reaction proceed?

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Explanation

The NCERT states that the direction of reaction can be predicted by the reaction quotient ($Q_c$) which is equal to $K_c$ at equilibrium. If $Q_c < K_c$, the reaction will proceed in the forward direction to reach equilibrium. Here, $1.0 \times 10^{40} < 2.4 \times 10^{47}$, so the reaction will proceed in the forward direction.

How does the equilibrium constant for the reverse reaction relate to the equilibrium constant for the forward reaction?

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Explanation

The NCERT states, 'The equilibrium constant for the reverse reaction is equal to the inverse of the equilibrium constant for the forward reaction.'

If a reaction has an equilibrium constant $K_c = 1.0$, what can be inferred about the relative amounts of reactants and products at equilibrium?

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Explanation

A $K_c$ value of 1.0 falls between $10^{-3}$ and $10^3$. As per the NCERT, in this range, 'the concentrations of the reactants and products are comparable, when the system is in equilibrium.'

When does the expression for the equilibrium constant become applicable?

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Explanation

The NCERT lists as an important feature: 'Expression for equilibrium constant is applicable only when concentrations of the reactants and products have attained constant value at equilibrium state.'

Which of the following conditions is essential for an elimination reaction to occur in a haloalkane?

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Explanation

According to the NCERT text, 'When a haloalkane with $\beta$-hydrogen atom is heated with alcoholic solution of potassium hydroxide, there is elimination of hydrogen atom from $\beta$-carbon and a halogen atom from the $\alpha$-carbon atom.' Thus, the presence of a $\beta$-hydrogen atom is essential for elimination.

In an elimination reaction of a haloalkane, what is the role of alcoholic potassium hydroxide?

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Explanation

The NCERT text states, 'When a haloalkane with $\beta$-hydrogen atom is heated with alcoholic solution of potassium hydroxide, there is elimination of hydrogen atom from $\beta$-carbon and a halogen atom from the $\alpha$-carbon atom.' Alcoholic KOH functions as a strong base, promoting the elimination of a $\beta$-hydrogen and a halogen, leading to an alkene.

Consider the following haloalkane: $\text{CH}_3\text{CH}_2\text{CH}_2\text{Br}$. Which carbons are designated as $\alpha$ and $\beta$ respectively for elimination?

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Explanation

As per the NCERT definition, 'Carbon on which halogen atom is directly attached is called $\alpha$-carbon and the carbon atom adjacent to this carbon is called $\beta$-carbon.' In $\text{CH}_3\text{CH}_2\text{CH}_2\text{Br}$, the bromine is attached to C1, making it the $\alpha$-carbon. The carbon adjacent to C1 (C2) is the $\beta$-carbon.

Which of the following haloalkanes would NOT undergo elimination reaction when treated with alcoholic KOH?

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Explanation

For an elimination reaction to occur, there must be at least one $\beta$-hydrogen atom. Bromomethane ($\text{CH}_3\text{Br}$) has only an $\alpha$-carbon (the carbon bonded to bromine) but no $\beta$-carbon, and therefore no $\beta$-hydrogen atoms. All other options have $\beta$-hydrogens.

Which type of reaction generally competes with elimination reactions for haloalkanes?

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Explanation

The NCERT text lists 'Nucleophilic substitution' and 'Elimination reactions' as two main categories of reactions for haloalkanes, often occurring simultaneously or in competition depending on reaction conditions (e.g., strength of base/nucleophile, temperature, solvent).

What is the primary product formed during the elimination reaction of a haloalkane?

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Explanation

The NCERT states, 'When a haloalkane with $\beta$-hydrogen atom is heated with alcoholic solution of potassium hydroxide, there is elimination of hydrogen atom from $\beta$-carbon and a halogen atom from the $\alpha$-carbon atom.' This process leads to the formation of a carbon-carbon double bond, thus producing an alkene.

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