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. 102 grams of a gas contains 6 moles. What is its molar mass?1 point17 g/mol0.059 g/mol0.059 mol/g17 mol/g

Question

What is the molar mass of a gas if 102 grams contains 6 moles?

  1. Options:
    • 17 g/mol
    • 0.059 g/mol
    • 0.059 mol/g
    • 17 mol/g
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Solution

1. Break Down the Problem

To find the molar mass of the gas, we need to use the formula for molar mass:

Molar Mass=Mass of the gas (in grams)Number of moles \text{Molar Mass} = \frac{\text{Mass of the gas (in grams)}}{\text{Number of moles}}

2. Relevant Concepts

Given:

  • Mass of the gas = 102 grams
  • Number of moles = 6 moles

3. Analysis and Detail

Substituting the given values into the molar mass formula:

Molar Mass=102grams6moles=17g/mol \text{Molar Mass} = \frac{102 \, \text{grams}}{6 \, \text{moles}} = 17 \, \text{g/mol}

4. Verify and Summarize

We calculated the molar mass as 17g/mol17 \, \text{g/mol}. The calculation checks out since substituting the values gives us a consistent result.

Final Answer

The molar mass of the gas is 17g/mol17 \, \text{g/mol}.

This problem has been solved

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