Determine the number of grams found in 4.3 mol of [tex]CO_2[/tex].

Hint: You must first calculate the molar mass of the compound.

A. [tex]\frac{4.3}{44.01} \, g[/tex]
B. [tex]\frac{44.01}{4.3} \, g[/tex]
C. 44.01 g
D. [tex]4.3 \cdot 44.01 \, g[/tex]



Answer :

To determine the number of grams found in 4.3 moles of [tex]\( \text{CO}_2 \)[/tex], you need to follow these steps:

1. Identify the number of moles: You have 4.3 moles of [tex]\( \text{CO}_2 \)[/tex].

2. Determine the molar mass of [tex]\( \text{CO}_2 \)[/tex]: The molar mass of [tex]\( \text{CO}_2 \)[/tex] is calculated by summing the atomic masses of its constituent atoms:
- Carbon (C) has an atomic mass of about 12.01 g/mol.
- Oxygen (O) has an atomic mass of about 16.00 g/mol.

Since [tex]\( \text{CO}_2 \)[/tex] consists of one carbon atom and two oxygen atoms, its molar mass is:
[tex]\[ \text{Molar Mass of CO}_2 = 12.01 \, \text{g/mol} + (2 \times 16.00 \, \text{g/mol}) = 12.01 \, \text{g/mol} + 32.00 \, \text{g/mol} = 44.01 \, \text{g/mol} \][/tex]

3. Calculate the mass: Use the following relationship to find the mass of [tex]\( \text{CO}_2 \)[/tex]:
[tex]\[ \text{Mass of CO}_2 = \text{Number of moles} \times \text{Molar mass} \][/tex]

Plugging in the values:
[tex]\[ \text{Mass of CO}_2 = 4.3 \, \text{mol} \times 44.01 \, \text{g/mol} \][/tex]

4. Perform the multiplication:
[tex]\[ \text{Mass of CO}_2 = 4.3 \times 44.01 = 189.243 \, \text{grams} \][/tex]

Hence, the number of grams found in 4.3 moles of [tex]\( \text{CO}_2 \)[/tex] is [tex]\( \boxed{189.243} \)[/tex] grams.