Certainly! Let's solve this step-by-step using the provided information and the formula for molarity.
1. Understand the Given Information:
- Molarity (M) is given as [tex]\(2.00 \ M \)[/tex] (Moles per Liter).
- Volume (V) is given as [tex]\(0.25 \ L \)[/tex].
2. Recall the Formula for Molarity:
[tex]\[
\text{Molarity (M)} = \frac{\text{moles of solute}}{\text{liters of solution}}
\][/tex]
3. Rearrange the Formula to Solve for Moles of Solute:
[tex]\[
\text{Moles of solute} = \text{Molarity (M)} \times \text{Volume (V)}
\][/tex]
4. Substitute the Given Values into the Equation:
[tex]\[
\text{Moles of } Ba(NO_3)_2 = 2.00 \ M \times 0.25 \ L
\][/tex]
5. Perform the Multiplication:
[tex]\[
\text{Moles of } Ba(NO_3)_2 = 0.50 \ moles
\][/tex]
6. Conclusion:
Therefore, the number of moles of [tex]\( Ba(NO_3)_2 \)[/tex] in [tex]\( 0.25 \ L \)[/tex] of a [tex]\( 2.00 \ M \)[/tex] solution is [tex]\( 0.50 \ moles \)[/tex].
So, the correct answer is:
[tex]\[
0.50 \ mol
\][/tex]
