12.) If 4.75 * 10^23 atoms of silver are placed on one side of a platform balance, how many atoms of gold should be placed on the other side to balance this quantity of silver?
Atoms to Atoms? How would I convert that. It's kind of live a division problem too but how to convert?
To convert atoms of silver to atoms of gold, we need to use the atomic masses of each element and Avogadro's number.
1. Find the molar mass of silver and gold:
The molar mass of silver (Ag) is approximately 107.87 g/mol, and the molar mass of gold (Au) is approximately 196.97 g/mol.
2. Calculate the number of moles of silver:
Divide the given number of atoms of silver (4.75 * 10^23 atoms) by Avogadro's number, which is approximately 6.022 * 10^23 atoms per mole, to get the number of moles of silver.
moles of silver = (4.75 * 10^23 atoms) / (6.022 * 10^23 atoms/mol)
3. Use the molar ratio between silver and gold:
Since we want to find the number of atoms of gold, we need to use the molar ratio of gold to silver. From the periodic table, we know that the ratio of molar masses of gold to silver is approximately 196.97 g/mol / 107.87 g/mol.
4. Calculate the number of moles of gold:
Multiply the number of moles of silver by the molar ratio of gold to silver to obtain the number of moles of gold.
moles of gold = moles of silver * (molar ratio of gold to silver)
5. Convert moles of gold to atoms of gold:
Multiply the number of moles of gold by Avogadro's number to get the number of atoms of gold.
atoms of gold = moles of gold * (6.022 * 10^23 atoms/mol)
By following these steps, you can calculate the number of atoms of gold required to balance the quantity of silver.
To convert the quantity of atoms of silver to atoms of gold, we need to determine the ratio between the two elements based on their atomic masses.
Step 1: Find the atomic masses of silver and gold.
The atomic mass of silver (Ag) is approximately 107.87 g/mol.
The atomic mass of gold (Au) is approximately 196.97 g/mol.
Step 2: Set up the ratio using the atomic masses.
The ratio of silver to gold is given by:
(atomic mass of silver) : (atomic mass of gold)
107.87 g/mol : 196.97 g/mol
Step 3: Calculate the conversion factor.
To convert the quantity of silver to gold, we need to divide the quantity of silver by the ratio of silver to gold:
Conversion factor = (atomic mass of silver) / (atomic mass of gold)
= 107.87 g/mol / 196.97 g/mol
Step 4: Calculate the quantity of gold atoms.
To find the number of atoms of gold that should be placed on the other side of the balance, multiply the conversion factor by the quantity of silver atoms given:
Quantity of gold atoms = (Conversion factor) * (Quantity of silver atoms)
= (107.87 g/mol / 196.97 g/mol) * (4.75 * 10^23 atoms of silver)
By performing these calculations, you will find the number of atoms of gold that should be placed on the other side of the platform balance to balance the quantity of silver.