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 determine the number of atoms of gold needed to balance the quantity of silver, you can use the concept of molar ratios and Avogadro's number.
1. Determine the molar mass of silver (Ag):
The molar mass of silver is approximately 107.87 g/mol.
2. Convert the given quantity of silver (4.75 * 10^23 atoms) to moles:
To convert atoms to moles, divide the given quantity of atoms by Avogadro's number (6.022 * 10^23 atoms/mol):
(4.75 * 10^23) / (6.022 * 10^23) = 0.790 mol (approx.)
3. Determine the molar ratio between silver and gold:
According to the balanced chemical equation, the ratio of silver to gold is 1:1.
4. Determine the molar mass of gold (Au):
The molar mass of gold is approximately 196.97 g/mol.
5. Convert the number of moles of silver to the number of moles of gold:
Since the ratio between silver and gold is 1:1, the number of moles of gold will also be 0.790 mol.
6. Convert the number of moles of gold to atoms of gold:
To convert moles to atoms, multiply the number of moles by Avogadro's number:
0.790 mol * (6.022 * 10^23) = 4.75 * 10^23 atoms
Therefore, to balance 4.75 * 10^23 atoms of silver, you would need 4.75 * 10^23 atoms of gold.
To solve this problem, you can use the concept of molar mass and Avogadro's number.
1. Determine the molar mass of silver (Ag) and gold (Au). The molar mass of silver is approximately 107.87 grams per mole, and the molar mass of gold is approximately 196.97 grams per mole.
2. Convert the given quantity of silver atoms to moles. Since Avogadro's number states that 1 mole of any substance contains 6.022 * 10^23 atoms, you can divide the given quantity of silver atoms by Avogadro's number.
Number of moles of silver = (4.75 * 10^23 atoms) / (6.022 * 10^23 atoms/mole)
3. Now, you need to find the equivalent number of gold atoms that would balance the given quantity of silver in moles.
Number of moles of gold = Number of moles of silver (since the balance is between atoms)
4. Convert the number of moles of gold to atoms using Avogadro's number.
Number of gold atoms = Number of moles of gold * Avogadro's number
Note: When converting between atoms and moles, you need to use Avogadro's number (6.022 * 10^23 atoms/mole) as a conversion factor.
Let's calculate it step-by-step:
Number of moles of silver = (4.75 * 10^23 atoms) / (6.022 * 10^23 atoms/mole)
Number of moles of gold = Number of moles of silver
Number of gold atoms = Number of moles of gold * Avogadro's number
By following these steps, you will be able to calculate how many atoms of gold should be placed on the other side of the platform balance to balance the quantity of silver given.