JEE Main 2020 — Chemistry Inorganic Chemistry

2020mcqeasy

The first and second ionisation enthalpies of a metal are $496$ and $4560kJmo{l}^{-1}$ , respectively. How many moles of $HCl$ and ${H}_{2}S{O}_{4},$ respectively, will be needed to react completely with $1$ mole of the metal hydroxide?

Official previous-year question

Held on 9 Jan 2020 · Verified 6 Jul 2026.

Options

A
$1$ and $1$
B
$2$ and $0.5$
C
$1$ and $2$
D
$1$ and $0.5$

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Solution

Ionization Enthalpy values indicate that the metal belongs to ${I}^{\mathrm{st}}$ group, since the second ionization enthalpy is very high.

(Q - only one valence electron)

Metal hydroxide will be of the type, $\mathrm{MOH}$ .

$\underset{ ( 1 \text{mol})}{ \text{MOH}} +\underset{ ( 1 \text{mol})}{ \text{HCl}} \rightarrow \text{MCl}+{\text{H}}_{\text{2}} \text{O}$

$\text{MOH}+\frac{1}{2} {\text{H}}_{2} { \text{SO}}_{4} \rightarrow \frac{1}{2} {\text{M}}_{2} { \text{SO}}_{4} +{\text{H}}_{2} \text{O}$

$(1\text{mol})( \frac{1}{2} \text{mol})$ So, one mole of $\mathrm{HCl}$ is required to react with one mole of $\mathrm{MOH}$ .

So, $\frac{1}{2}$ mole of ${\text{H}}_{\text{2}} { \text{SO}}_{\text{4}}$ is required to react with one mole of $\mathrm{MOH}$ .

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Solution

Ionization Enthalpy values indicate that the metal belongs to ${I}^{\mathrm{st}}$ group, since the second ionization enthalpy is very high.

(Q - only one valence electron)

Metal hydroxide will be of the type, $\mathrm{MOH}$ .

$\underset{ ( 1 \text{mol})}{ \text{MOH}} +\underset{ ( 1 \text{mol})}{ \text{HCl}} \rightarrow \text{MCl}+{\text{H}}_{\text{2}} \text{O}$

$\text{MOH}+\frac{1}{2} {\text{H}}_{2} { \text{SO}}_{4} \rightarrow \frac{1}{2} {\text{M}}_{2} { \text{SO}}_{4} +{\text{H}}_{2} \text{O}$

$(1\text{mol})( \frac{1}{2} \text{mol})$ So, one mole of $\mathrm{HCl}$ is required to react with one mole of $\mathrm{MOH}$ .

So, $\frac{1}{2}$ mole of ${\text{H}}_{\text{2}} { \text{SO}}_{\text{4}}$ is required to react with one mole of $\mathrm{MOH}$ .

JEE Main 2020 — Chemistry Inorganic Chemistry

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JEE Main 2020 — Chemistry Inorganic Chemistry

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