Question

How many moles of the gas are in 100.0 g of SO2? (Round to the hundredths place)

a) 1.61 moles
b) 0.45 moles
c) 4.50 moles
d) 0.50 moles

Answer 1

To find the number of moles of SO2 in 100.0 g of the gas, the molar mass of SO2 (64.07 g/mol) is determined and then used to convert the mass to moles, yielding approximately 1.56 moles.Answer is option (a).

Step-by-step explanation:

To calculate the number of moles of sulfur dioxide (SO2) in 100.0 g of the gas, we must first determine the molar mass of SO2. The molar mass of an SO2 molecule is calculated by adding the molar masses of one sulfur atom and two oxygen atoms:

• Molar mass of S (sulfur) = 32.07 g/mol
• Molar mass of O (oxygen) = 16.00 g/mol

Therefore, the molar mass of SO2 is:

Molar mass of SO2 = 32.07 g/mol (for S) + 2 × 16.00 g/mol (for O) = 64.07 g/mol

Next, we use this molar mass to convert the mass of SO2 into moles:

Number of moles of SO2 = Mass of SO2 / Molar mass of SO2

Number of moles of SO2 = 100.0 g / 64.07 g/mol

Number of moles of SO2 = 1.56 moles (rounded to the hundredths place)

Therefore, the answer is approximately 1.56 moles, which most closely aligns with answer option a) 1.61 moles.