how many grams of carbon contains the same number of atoms as 40g of Neon
Convert 40 g Ne to moles. moles = grams/molar mass.
Take the same number of moles of C that you have of Ne.
To determine the number of grams of carbon that contain the same number of atoms as 40g of neon, we need to compare the number of atoms in both elements.
1. Start by finding the molar mass of each element:
- The molar mass of carbon (C) is approximately 12.01 g/mol.
- The molar mass of neon (Ne) is approximately 20.18 g/mol.
2. Calculate the number of moles for each element:
- Moles of carbon = mass of carbon (in grams) / molar mass of carbon
Moles of carbon = 40g / 12.01 g/mol ≈ 3.33 mol (rounded to two decimal places)
- Moles of neon = mass of neon (in grams) / molar mass of neon
Moles of neon = 40g / 20.18 g/mol ≈ 1.98 mol (rounded to two decimal places)
3. Determine the number of atoms in each element:
- Number of atoms in carbon = moles of carbon × Avogadro's number
Number of atoms in carbon = 3.33 mol × 6.022 × 10^23 atoms/mol ≈ 2.004 × 10^24 atoms (rounded to scientific notation)
- Number of atoms in neon = moles of neon × Avogadro's number
Number of atoms in neon = 1.98 mol × 6.022 × 10^23 atoms/mol ≈ 1.191 × 10^24 atoms (rounded to scientific notation)
4. Since we are looking for the same number of atoms in carbon as in neon, we need to find the mass of carbon that contains approximately 1.191 × 10^24 atoms. To do this, we will use the relationship between moles, grams, and Avogadro's number.
- Moles of carbon = Number of atoms / Avogadro's number
Moles of carbon = 1.191 × 10^24 atoms / 6.022 × 10^23 atoms/mol ≈ 1.98 mol (rounded to two decimal places)
- Mass of carbon = Moles of carbon × molar mass of carbon
Mass of carbon = 1.98 mol × 12.01 g/mol ≈ 23.76 g (rounded to two decimal places)
Therefore, approximately 23.76 grams of carbon contains the same number of atoms as 40 grams of neon.