Respuesta :
Answer: The element represented by M is Strontium.
Explanation:
Let us consider the molar mass of metal be 'x'.
The molar mass of MO will be = Molar mass of oxygen + Molar mass of metal = (16 + x)g/mol
It is given in the question that 15.44% of oxygen is present in metal oxide. So, the equation becomes:
[tex]\frac{15.44}{100}\times (x+16)=16g/mol\\\\(x+16)=\frac{16g/mol\times 100}{15.44}\\\\x=(103.626-16)g/mol\\\\x=87.62g/mol[/tex]
The metal atom having molar mass as 87.62/mol is Strontium.
Hence, the element represented by M is Strontium.
The metal present in the given metal oxide is strontium and its atomic symbol is [tex]\boxed{{\text{Sr}}}[/tex].
Further explanation:
Mole is the measure of the amount of substance. Mole is the relation between the mass of the substance and molar mass of a substance. It is defined as the mass of a substance in grams divided by its molar mass (g/mol).
The expresion to calculate the number of moles is as follows:
[tex]{\text{Number of moles}}\;=\;\dfrac{{{\text{Given mass}}\left( {\text{g}}\right)}}{{{\text{molar mass}}\left({{\text{g/mol}}}\right)}}[/tex] ...... (1)
The given metal oxide MO contains 15.44 % oxygen, it means that 100 g of metal oxide MO contains 15.44 g of oxygen. The amount of metal present in 100 g of metal oxide is,
[tex]\begin{aligned\text{Mass of metal}}\left( {\text{g}} \right)&=\left( {{\text{mass of metal oxide}}} \right)-\left( {{\text{mass of oxygen}}}\right)\\&=100{\text{ g}}-{\text{15}}{\text{.44 g}}\\&={\text{84}}{\text{.66 g}}\\\end{aligned}[/tex]
The number of moles of oxygen in 100 g of metal oxide can be calculated by dividing mass of oxygen with molar mass of oxygen.
[tex]\begin{aligned}{\text{Number of moles}}\;&=\;\frac{{{\text{mass}}\left( {\text{g}} \right){\text{ of }}{{\text{O}}_2}}}{{{\text{molar mass}}\left( {{\text{g/mol}}} \right){\text{ of }}{{\text{O}}_2}}}\\&=\frac{{{\text{15}}{\text{.44 g}}}}{{16{\text{ g/mol}}}}\\&=0.965{\text{ mol}}\\\end{aligned}[/tex]
According to the molecular formula of metal oxide MO, 1 mole of metal oxide contains 1 mole of oxygen and 1 mole of metal. Therefore, the number of moles of metal present in given metal oxide must be 0.965 moles.
The molar mass of metal can be calculated as follow:
[tex]\begin{aligned}{\text{Molar mass}}\left({{\text{g/mol}}}\right)&= \;\frac{{{\text{mass}}\left( {\text{g}} \right){\text{ of metal}}}}{{{\text{number of moles}}\left( {{\text{mol}}} \right)\;{\text{of metal}}}}\\&=\frac{{84.66{\text{ g}}}}{{0.965{\text{ mol}}}}\\&=87.7\,{\text{g/mol}}\\\end{aligned}[/tex]
According to the periodic table metal which has a molar mass approximately 87.7 g is strontium (Sr). Hence the metal oxide is strontium oxide.
Learn more:
1. Determine the number of atoms in a molecule of white phosphorous.:https://brainly.com/question/9202946
2. Rank the gases in decreasing order of effusion:https://brainly.com/question/1946297
Answer details:
Grade: Senior school
Subject: Chemistry
Chapter: Mole concept
Keywords: Metal oxide, formula unit, MO, metal, symbol of metal, M, strontium, Sr, number of moles and strontium oxide.
