## Related questions with answers

A certain element $X$ forms a compound with oxygen in which there are two atoms of $X$ for every three atoms of $\mathrm{O}$. In this compound, $1.125 \mathrm{~g}$ of $X$ are combined with $1.000$ $\mathrm{g}$ of oxygen. Use the average atomic mass of oxygen to calculate the average atomic mass of $X$. Use your calculated atomic mass to identify the element $X$.

Solution

VerifiedIn this problem, we have been asked to calculate the atomic mass and then accordingly predict the unknown element X, given that :

- X forms a compound with oxygen in which there are two atoms of X for every three atoms of O
- 1.125 g of X are combined with 1.000 g of oxygen

In order to solve the above, we can use the below relation (Assume the formula of compound is : X$_2$O$_3$) :

$\begin{equation} \text{\small{$\dfrac{\text{Number of atoms of X in X$_2$O$_3$}}{\text{Number of atoms of O in X$_2$O$_3$}}$ = $\dfrac{\text{Moles of X}}{\text{Moles of O}}$}}\tag{1} \end{equation}$

Putting **moles = atomic mass/molecular weight** in above relation, we get :

$\begin{equation} \text{\scriptsize{Atomic mass of X = $\dfrac{\text{(atomic wt. of O in X$_2$O$_3$) $\times$ (weight of X in X$_2$O$_3$) $\times$ (no. of atoms of O in X$_2$O$_3$)}}{\text{no. of atoms of X in X$_2$O$_3$ $\times$ weight of O in X$_2$O$_3$}}$}}\tag{2} \end{equation}$

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