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Question

How is the molar mass of SO3 determined using atomic weights?

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Solution

VerifiedVerified Solution by Proprep Tutor

 

The molar mass of sulfur trioxide (SO₃) is determined to be 80.06 g/mol. Here is the step-by-step process to calculate this value using atomic weights:

 

1. Identify the Composition:

  • Sulfur trioxide is composed of one sulfur atom (S) and three oxygen atoms (O).

 

  • Sulfur trioxide is composed of one sulfur atom (S) and three oxygen atoms (O).

 

2. Atomic Weights:

  • The atomic weight of sulfur is approximately 32.07 g/mol.
  • The atomic weight of oxygen is approximately 16.00 g/mol.

 

3. Calculation:

Multiply the atomic weight of sulfur by the number of sulfur atoms:

1×32.07g/mol=32.07g/mol.

 

4. Multiply the atomic weight of oxygen by the number of oxygen atoms:

 

3×16.00g/mol=48.00g/mol.

 

5. Summation:

Add the contributions from sulfur and oxygen to get the total molar mass:

 

32.07g/mol+48.00g/mol=80.07g/mol.

 

6. Result:

The molar mass of SO₃ is therefore 80.06 g/mol, which is the sum of the atomic weights of its constituent atoms.

 

Understanding the molar mass of a compound like sulfur trioxide is crucial for stoichiometric calculations in chemical reactions, allowing chemists to predict yields and reactant consumption.

It also plays a role in determining the physical properties of the substance, such as density and vapor pressure.

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