College

How many moles of tin atoms are in a pure tin cup with a mass of 38.1 g?

Answer :

To determine the number of moles of tin atoms in a pure tin cup with a mass of 38.1 grams, we can use the formula for converting mass to moles:

[tex]\[ \text{Number of moles} = \frac{\text{mass of substance (grams)}}{\text{molar mass of substance (g/mol)}} \][/tex]

Here's how we can solve the problem step-by-step:

1. Identify the given information:
- Mass of the tin cup = 38.1 grams
- Molar mass of tin (Sn) = 118.71 g/mol

2. Use the formula for moles:
- Calculate the number of moles by dividing the mass of the tin by its molar mass.

[tex]\[ \text{Number of moles of tin} = \frac{38.1 \text{ grams}}{118.71 \text{ g/mol}} \][/tex]

3. Calculate the result:
- When you divide 38.1 by 118.71, you get approximately 0.321 moles.

So, there are about 0.321 moles of tin atoms in the 38.1-gram tin cup.