What mass of iodine contains the same number of atoms at 25.0 g of chlorine?
89.52
To find the mass of iodine that contains the same number of atoms as 25.0 g of chlorine, we need to use the concept of molar mass and Avogadro's number.
1. Find the molar mass of chlorine (Cl) using the periodic table. The molar mass of chlorine is 35.45 g/mol.
2. Convert the mass of chlorine (25.0 g) to moles by dividing by its molar mass:
Moles of chlorine = 25.0 g / 35.45 g/mol
3. Use Avogadro's number to determine the number of atoms in 25.0 g of chlorine:
Number of atoms of chlorine = Moles of chlorine × Avogadro's number
4. Now, we need to find the mass of iodine (I) that contains the same number of atoms as 25.0 g of chlorine.
Mass of iodine = (Number of atoms of chlorine × Molar mass of iodine) / Number of atoms of iodine
We need the molar mass of iodine and the number of atoms per iodine molecule.
The molar mass of iodine is 126.90 g/mol.
There are two iodine atoms in each iodine molecule.
5. Substitute the values into the formula:
Mass of iodine = (Number of atoms of chlorine × Molar mass of iodine) / (Number of atoms of iodine per molecule × Avogadro's number)
Mass of iodine = (Number of atoms of chlorine × 126.90 g/mol) / (2 × 6.022 × 10^23 mol^-1)
Calculate the mass of iodine using the values calculated in step 2 and the given molar mass and Avogadro's number.
Let's calculate the mass of iodine using a calculator.
To determine the mass of iodine that contains the same number of atoms as 25.0 g of chlorine, we need to use the concept of molar mass and Avogadro's number.
1. Start by finding the molar mass of both chlorine and iodine.
- The molar mass of chlorine (Cl₂) is approximately 35.45 g/mol.
- The molar mass of iodine (I₂) is approximately 253.8 g/mol.
2. Use Avogadro's number (6.022 × 10²³ atoms/mol) to find the number of atoms in 25.0 g of chlorine.
- Convert grams to moles by dividing the mass by the molar mass of chlorine:
Number of moles of chlorine = mass of chlorine / molar mass of chlorine
= 25.0 g / 35.45 g/mol
- Multiply the number of moles of chlorine by Avogadro's number to find the number of atoms:
Number of atoms of chlorine = number of moles of chlorine × Avogadro's number
3. Now, we want to find the mass of iodine that contains the same number of atoms.
- Use Avogadro's number to convert the number of atoms of chlorine to the number of moles of iodine:
Number of moles of iodine = Number of atoms of chlorine / Avogadro's number
- Multiply the number of moles of iodine by the molar mass of iodine to find the mass:
Mass of iodine = Number of moles of iodine × molar mass of iodine
By following these steps, you can calculate the mass of iodine that contains the same number of atoms as 25.0 g of chlorine.
I assume that you mean Cl2 gas, and molecular (solid) I2. 25 g of chlorine would be 25/71 or 35.2% of a mole. (The molar mass of Cl is 35.5; double that for Cl2)
1 mole of I2 has a mass of
0.352*2*126.9 g = 89.34 g