Final answer:
To find out how many grams of tin are in 3.5 E24 atoms, we need to convert atoms to moles and then multiply by tin's molar mass. The calculation shows that there are approximately 689.767 grams of tin in 3.5 E24 atoms.
Step-by-step explanation:
To calculate the mass of tin in grams, we must first determine the number of moles that 3.5 E24 atoms of tin represent.
The provided reference states that 118.7 g of tin equals 1 mole, which contains 6.022 × 1023 atoms. Thus, we can calculate the number of moles as follows:
Number of moles of tin = 3.5 E24 atoms ÷ (6.022 × 1023 atoms/mole)
= 5.81 moles (approximately).
Next, we multiply the number of moles by the molar mass of tin:
Mass of tin = 5.81 moles × 118.7 g/mole
= 689.767 g of tin.
Therefore, there are approximately 689.767 grams of tin in 3.5 E24 atoms of tin.