Questions: 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

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

Transcript text: The chemical formula for dimethyl ether is: \[ \mathrm{CH}_{3} \mathrm{OCH}_{3} \] Calculate the molar mass of dimethyl ether. Round your answer to 2 decimal places. $\square$ $\mathrm{g} \cdot \mathrm{mol}^{-1}$ $\square$ $\times 10$

Solution

Solution Steps

Step 1: Identify the elements and their quantities

Dimethyl ether has the chemical formula \( \mathrm{CH}_{3} \mathrm{OCH}_{3} \).
It contains:
- Carbon (C): 2 atoms
- Hydrogen (H): 6 atoms
- Oxygen (O): 1 atom

Step 2: Find the atomic masses

Carbon (C): 12.01 g/mol
Hydrogen (H): 1.01 g/mol
Oxygen (O): 16.00 g/mol

Step 3: Calculate the total mass for each element

Carbon: \( 2 \times 12.01 \, \mathrm{g/mol} = 24.02 \, \mathrm{g/mol} \)
Hydrogen: \( 6 \times 1.01 \, \mathrm{g/mol} = 6.06 \, \mathrm{g/mol} \)
Oxygen: \( 1 \times 16.00 \, \mathrm{g/mol} = 16.00 \, \mathrm{g/mol} \)

Step 4: Sum the masses to find the molar mass

Total molar mass: \( 24.02 \, \mathrm{g/mol} + 6.06 \, \mathrm{g/mol} + 16.00 \, \mathrm{g/mol} = 46.08 \, \mathrm{g/mol} \)

Step 5: Round the answer

The molar mass of dimethyl ether is \( 46.08 \, \mathrm{g/mol} \)

Final Answer

\(\boxed{46.08 \, \mathrm{g} \cdot \mathrm{mol}^{-1}}\)

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