Certainly! To convert moles of a substance to grams, we use the formula:
\[
\text{mass (grams)} = \text{number of moles} \times \text{molar mass (grams/mole)}
\]
First, we need to identify the compound "carbon tetrahydride." This common name refers to methane, which has the chemical formula CH₄.
Next, let's calculate the molar mass of methane (CH₄). We do this by adding the molar mass of one carbon atom to the molar mass of four hydrogen atoms:
- The molar mass of carbon (C) is approximately 12.01 grams/mole.
- The molar mass of hydrogen (H) is approximately 1.008 grams/mole.
Therefore, the molar mass of CH₄ is:
\[
\text{Molar mass of CH₄} = (1 \times 12.01) + (4 \times 1.008) \text{ grams/mole}
\]
\[
\text{Molar mass of CH₄} = 12.01 + 4.032 \text{ grams/mole}
\]
\[
\text{Molar mass of CH₄} = 16.042 \text{ grams/mole}
\]
Now we can use the number of moles of methane that we want to convert to grams, which is 36 moles:
\[
\text{mass (grams)} = 36 \text{ moles} \times 16.042 \text{ grams/mole}
\]
\[
\text{mass (grams)} = 577.512 \text{ grams}
\]
So, 36 moles of methane (carbon tetrahydride) is equal to 577.512 grams.
