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What is the chemical formula for Y and O?

Answer
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Hint: We know that the symbolic representation of the composition of the chemical compound is known as chemical formula. For example: $ HCl $ is the chemical formula of hydrochloric acid, this gives us the information that one hydrogen atom is bonded to a chlorine atom chemically.

Complete answer:
As we know that the chemical formula gives us information about the number of particular elements and helps us exactly figure out the kind of element present in what proportion, etc. in the compound. If there were no thing like chemical formulas, understanding chemistry would be very difficult as there would be no chemical equation, so understanding a reaction will be still tougher. It is very important to know about valence electrons and valances. Valence electrons are the electrons present in the outermost shell of an atom.
The valence electrons can easily react with the electrons in the outermost shell of another atom. The valency is the capacity of an atom to make bonds. Capacity to make bonds depends on the number of valence electrons. To write chemical formulas, it is very important to know the valency. The symbolic representation of the composition of the chemical compound is known as chemical formula. Here Y is yttrium which is rare earth, and commonly forms $ {{Y}^{3+}}~ $ ions and oxygen, a Group $ 16 $ element, commonly forms $ {{O}_{2}} $ ions. When yttrium metal, and oxygen gas combine, the simple oxide is of course neutral with respect to charge. $ 2\left( {{Y}^{3+}} \right)+3\left( {{O}_{2}} \right)\to \underset{yttria}{\mathop{{{Y}_{2}}{{O}_{3}}}}\, $ ​
Therefore, the chemical formula for Y and O is $ \underset{yttria}{\mathop{{{Y}_{2}}{{O}_{3}}}}\, $ .

Note:
Remember that to write chemical formulas, it is very important to know the valency. The symbolic representation of the composition of the chemical compound is known as chemical formula.