Question

in the summer of 2010, platinum (195.078 g/mol) sold for $1,500/oz. one ounce is equal to 28.35 g. how many platinum atoms could you buy with a penny ($0.01)?

Answer 1

To find out how many platinum atoms could be bought with a penny, we need to calculate the number of platinum atoms in one ounce. We can then divide the price per ounce by the price per penny and multiply it by the number of atoms in one ounce.

Step-by-step explanation:

To answer this question, we need to find out how many platinum atoms are in one ounce. We know that the molar mass of platinum is 195.078 g/mol and one ounce is equal to 28.35 grams. First, we need to find the number of moles in one ounce by dividing the mass of one ounce by the molar mass of platinum:

Number of moles = mass / molar mass = 28.35 g / 195.078 g/mol = 0.1453 moles

Next, we can use Avogadro's number, which tells us that there are 6.022 × 10^23 atoms in one mole of a substance. We multiply the number of moles by Avogadro's number to find the number of platinum atoms in one ounce:

Number of platinum atoms = number of moles * Avogadro's number = 0.1453 moles * 6.022 × 10^23 atoms/mol = 8.749 × 10^22 atoms

Finally, we can calculate how many platinum atoms could be bought with a penny by dividing the price of one ounce of platinum by the price of a penny:

Number of platinum atoms per penny = (Price per ounce / Price per penny) * Number of platinum atoms in one ounce = ($1500 / $0.01) * 8.749 × 10^22 atoms = 1.312 × 10^29 atoms

Answer 2

Answer: 1.14 × 10^20 platinum atoms

Explaination:

$1,500/oz ÷ 28.35 g/oz = $52.96/g

$0.01 ÷ $52.96/g = 0.000189 moles

use Avogadro's number (6.022 × 10^23 atoms/mole) to calculate the number of platinum atoms in 0.000189 moles:

0.000189 moles × 6.022 × 10^23 atoms/mole = 1.14 × 10^20 atoms