Final answer:
To find the mass of 14.600 moles of CH4, you multiply the number of moles by the molar mass of methane (16.04 g/mol), resulting in 234.184 grams.
Step-by-step explanation:
To calculate the mass of a given amount of CH4 (methane), we start by determining its molar mass. One mole of CH4 has a molar mass of approximately 16.04 g/mol (12.01 g for carbon and 1.01 g/mol for each of the four hydrogens).
Step 1: Write the given quantity of CH4.
Given: 14.600 mol CH4
Step 2: Write the molar mass of CH4.
Molar mass of CH4 = 16.04 g/mol
Step 3: Use the molar mass to convert moles to grams.
Mass = moles × molar mass
Mass = 14.600 mol × 16.04 g/mol
Mass = 234.184 g
Therefore, 14.600 moles of CH4 has a mass of 234.184 grams.