State whether the given statement is true or false:

A compound of relative molecular mass $34$ and empirical formula $H O$ has the molecular formula $H_{2} O_{2}$ .

True

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False

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Solution

The correct option is A True
$⟶$ Empirical formula of a compound is the chemical formula which expresses the simplest whole number ratio of the atoms of various elements present in a molecule of the compound.
$⟶$ Molecular formula of the compound is the chemical formula which represents true formula of a molecule. It expresses the actual number of atoms of various elements present in a molecule of a compound.
Relation between empirical formula and molecular formula:-
Molecular formula= $n \times E m p i r i c a l f o r m u l a$
$∴ H_{2} O_{2} = 2 \times H O$ [ n=number by which simplest ration of empirical formula obtained]
$= H_{2} O_{2}$
Also, $n = \frac{M o l e c u l a r f o r m u l a}{E m p i r i c a l f o r m u l a}$
Molecular weight of $H_{2} O_{2} = 2 \times 1 + 2 \times 16$
$\Rightarrow 2 + 32 = 34$ .

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State whether the given statement is true or false:A compound of relative molecular mass 34 and empirical formula HO has the molecular formula H2O2.

State whether the given statement is true or false:

A compound of relative molecular mass $34$ and empirical formula $H O$ has the molecular formula $H_{2} O_{2}$ .