Respuesta :
The molar mass of the given compound is [tex]\boxed{122.2{\text{ g/mol}}}[/tex].
Further Explanation:
Molar mass:
The molar mass is the summation of masses of all atoms or molecule present in the 1 mole of compound. In other words, molar mass of a compound is the ratio of mass of compound in grams to the number of moles present of that compound. The S.I unit of molar mass is gram per mol or g/mol.
Mass of one molecule of a given compound is [tex]2.03\times{10^{-22}}{\text{g}}[/tex].
According to Avogadro's number, the number of atoms or molecules present in the 1 mole of a substance is [tex]{\mathbf{6}}{\mathbf{.022\times1}}{{\mathbf{0}}^{{\mathbf{23}}}}[/tex].
Therefore, to calculate the mass of 1 mole of atoms, we have to multiply the mass of one molecule with the number of molecules present in 1 mole of given compound that is [tex]6.022\times{10^{23}}[/tex].
The calculation for molar mass gives as follows:
[tex]\begin{gathered} {\text{Molar mass}} = \left( {{\text{mass of 1 molecule}}\left( {\text{g}} \right)} \right)\left({{\text{number of molecules in 1 mole substance}}}\right)\\=\left({2.03\times{{10}^{-22}}{\text{g}}}\right)\left({6.022\times{{10}^{23}}{\text{ mo}}{{\text{l}}^{-1}}}\right)\\=\left({2.03\times 6.022}\right)\times{\text{1}}{{\text{0}}^{-22+23}}{\text{ g/mol}}\\=122.2{\text{ g/mol}}\\\end{gathered}[/tex]
The value mass of 1 mole of given molecule is 122.2 g/mol.
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Answer details:
Grade: Senior school
Subject: Chemistry
Chapter: Mole concept
Keywords: Potassium, molar mass, moles, atomic mass, number of moles, number of atoms, given mass, ratio, substance, g/mol grams, 78.20 grams, 2 moles, 39.098 g/mol, number of moles of potassium.
The molar mass of the compound has been 122.2 g/mol.
The molar mass of the substance has been the mass of all the molecules in a mole of a compound.
The number of molecules present in 1 mole of the compound has been equivalent to the Avagadro number.
1 mole compound = 6.023 [tex]\rm \times\;10^2^3[/tex] molecules.
The given weight has been the weight of 1 molecule.
The mass of 1 mole of compound = Mass of 1 molecule ×Number of molecules in 1 mole.
The mass of 1 mole of compound = 2.03 [tex]\rm \times\;10^2^2[/tex] g × 6.023 [tex]\rm \times\;10^2^3[/tex] molecules.
The mass of 1 mole of compound = 122.2 g/mol
The molar mass of the compound has been 122.2 g/mol.
For more information about the molar mass of the compound, refer to the link:
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