Answer :

To find out how many grams of methane ([tex]\( CH_4 \)[/tex]) are in 4.3 moles, we need to use its molar mass. Here's how you can calculate it:

1. Determine the Molar Mass of Methane ([tex]\( CH_4 \)[/tex]):
- Carbon ([tex]\( C \)[/tex]) has an atomic mass of approximately 12.01 g/mol.
- Hydrogen ([tex]\( H \)[/tex]) has an atomic mass of approximately 1.01 g/mol.
- Methane ([tex]\( CH_4 \)[/tex]) consists of 1 carbon atom and 4 hydrogen atoms.

The molar mass of methane is calculated as follows:
[tex]\[
\text{Molar mass of } CH_4 = 12.01 \, \text{g/mol (for C)} + 4 \times 1.01 \, \text{g/mol (for H)} = 16.05 \, \text{g/mol}
\][/tex]

2. Calculate the Mass of 4.3 Moles of [tex]\( CH_4 \)[/tex]:
To find the mass in grams, multiply the number of moles by the molar mass of methane:
[tex]\[
\text{Mass of } CH_4 = \text{Number of moles} \times \text{Molar mass}
\][/tex]
[tex]\[
\text{Mass of } CH_4 = 4.3 \, \text{moles} \times 16.05 \, \text{g/mol} = 69.015 \, \text{grams}
\][/tex]

Therefore, there are 69.015 grams of methane in 4.3 moles of [tex]\( CH_4 \)[/tex].

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