Q. What is the molar mass of \( \mathrm{Cl_2} \)?

Answer

To find the molar mass of chlorine gas, \( \mathrm{Cl_2} \):

\( \text{Molar mass} = 2 \times \text{atomic mass of Cl} \).

Using \( \mathrm{Cl} \approx 35.45\ \mathrm{g/mol} \):

\[
\text{Molar mass of } \mathrm{Cl_2} = 2 \times 35.45 = 70.90\ \mathrm{g/mol}.
\]

Final result: \(70.90\ \mathrm{g/mol}\).

Detailed Explanation

To find the molar mass of \(Cl_2\), you add the molar masses of the atoms in the chemical formula.

Step 1: Identify how many atoms are in the formula.

The formula \(Cl_2\) contains:

\(2\) atoms of chlorine, each written as \(Cl\).

Step 2: Use the atomic (molar) mass of chlorine.

The standard atomic mass of chlorine is approximately

\(\mathrm{Cl} \approx 35.45\ \text{g/mol}\).

Step 3: Multiply by the number of chlorine atoms.

Because there are \(2\) chlorine atoms:

\[
M(Cl_2) = 2 \times 35.45\ \text{g/mol}.
\]

Step 4: Calculate.

\[
M(Cl_2) = 70.90\ \text{g/mol}.
\]

Final Answer: The molar mass of \(Cl_2\) is \(70.90\ \text{g/mol}\).

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General Chemistry FAQs

What is the molar mass of \( \mathrm{Cl_2} \)?

Chlorine has atomic mass \( \approx 35.45 \,\mathrm{g/mol} \). For \( \mathrm{Cl_2} \): \( 2 \times 35.45 = 70.90 \,\mathrm{g/mol} \).

How do I calculate molar mass for a diatomic molecule like \( \mathrm{Cl_2} \)?

Multiply the atomic molar mass by the number of atoms: \( M(\mathrm{Cl_2}) = 2 \times M(\mathrm{Cl}) \).

What is the molar mass of \( \mathrm{Cl} \) atoms, and how does it relate to \( \mathrm{Cl_2} \)?

Each \( \mathrm{Cl} \) atom has molar mass \( \approx 35.45 \,\mathrm{g/mol} \). Thus \( \mathrm{Cl_2} \) is \( 70.90 \,\mathrm{g/mol} \).

Are there significant figures or rounding considerations when finding \( \mathrm{Cl_2} \) molar mass?

Use the periodic-table value for chlorine (often \(35.45\)). If you use that, then \(2 \times 35.45 = 70.90\,\mathrm{g/mol}\) with two decimal places.

What units should the molar mass of \( \mathrm{Cl_2} \) be reported in?

Molar mass is reported in \( \mathrm{g/mol} \). So \( M(\mathrm{Cl_2}) \approx 70.90 \,\mathrm{g/mol} \).

If chlorine atomic mass is \(35.46\,\mathrm{g/mol}\), what is \( M(\mathrm{Cl_2}) \)?

\( M(\mathrm{Cl_2}) = 2 \times 35.46 = 70.92 \,\mathrm{g/mol} \).

Chlorine (Cl2) molar mass is 70.90.
Use 2×35.45 for the value.

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