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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.
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.
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