Answer
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Step 1:
Bromine is a chemical element with the atomic number 35, and its atomic mass is approximately 79.904 atomic mass units (amu). The molar mass of a substance is defined as the mass of one mole of that substance, expressed in grams per mole (g/mol). Therefore, to find the molar mass of bromine, we simply need to convert its atomic mass to grams per mole.
Step 2:
We know that 1 atomic mass unit is equal to approximately 1.66054 x 10^- 24 grams. So, to find the molar mass of bromine, we can multiply its atomic mass (79.904 amu) by the conversion factor: "Molar mass of bromine" = "Atomic mass of bromine" imes "Conversion factor" "Molar mass of bromine" = 79.904 mathrm{~amu} imes frac{1.66054 imes 10^{- 24} mathrm{~g}}{1 mathrm{~amu}}
Step 3:
Performing the calculation, we get: "Molar mass of bromine" = 79.904 imes 1.66054 imes 10^{- 24} mathrm{~g} "Molar mass of bromine" approx 130.0 imes 10^{- 24} mathrm{~g}
Step 4:
To express the molar mass in grams per mole, we need to divide the result by Avogadro's number (6.02214076 x 10^23), which is the number of atoms or molecules in one mole of a substance: "Molar mass of bromine" = frac{130.0 imes 10^{- 24} mathrm{~g}}{6.02214076 imes 10^{23}}
Step 5:
Performing the calculation, we get: "Molar mass of bromine" approx 2.159 imes 10^{- 2} mathrm{~g/mol}
Final Answer
The molar mass of bromine is approximately 2.159 x 10^- 2 g/mol.
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