To determine the number of grams of barium in 2.64 moles of barium, we can use the molar mass of barium. The molar mass of barium ([tex]$Ba$[/tex]) is given as 137.33 grams per mole ([tex]$g/mol$[/tex]).
Here's a step-by-step approach to solve this problem:
1. Identify the molar mass of barium:
The molar mass is provided as 137.33 grams per mole ([tex]$g/mol$[/tex]).
2. Identify the number of moles of barium:
The number of moles given is 2.64 moles.
3. Use the formula to calculate the mass:
The formula to calculate the mass in grams from the molar mass and the number of moles is:
[tex]\[
\text{Mass (g)} = \text{Molar Mass (g/mol)} \times \text{Number of Moles (mol)}
\][/tex]
4. Substitute the given values into the formula:
[tex]\[
\text{Mass (g)} = 137.33 \, \text{g/mol} \times 2.64 \, \text{mol}
\][/tex]
5. Calculate the result:
[tex]\[
\text{Mass (g)} = 362.5512 \, \text{g}
\][/tex]
Therefore, the number of grams of barium in 2.64 moles of barium is [tex]$362.5512$[/tex] grams.
