Questions: Chemical Reactions Finding molar mass from chemical formulae The chemical formula for dimethyl ether is: CH3OCH3 Calculate the molar mass of dimethyl ether. Round your answer to 2 decimal places. g · mol^-1 × 10

Solution Steps

First, identify the elements in the chemical formula \(\mathrm{CH}_{3} \mathrm{OCH}_{3}\) and their respective atomic masses:

• Carbon (C): 12.01 g/mol
• Hydrogen (H): 1.008 g/mol
• Oxygen (O): 16.00 g/mol

Next, count the number of each type of atom in the formula:

• Carbon: 2 atoms
• Hydrogen: 6 atoms
• Oxygen: 1 atom

Calculate the total mass contribution of each element by multiplying the number of atoms by the atomic mass:

• Carbon: \(2 \times 12.01 = 24.02\) g/mol
• Hydrogen: \(6 \times 1.008 = 6.048\) g/mol
• Oxygen: \(1 \times 16.00 = 16.00\) g/mol

Sum the mass contributions of all the elements to find the molar mass of dimethyl ether: \[ \text{Molar mass} = 24.02 + 6.048 + 16.00 = 46.068 \text{ g/mol} \]

Finally, round the molar mass to two decimal places: \[ \text{Molar mass} \approx 46.07 \text{ g/mol} \]

Final Answer