Answer :
- Calculate the number of moles of LiCl: $moles =
\frac{39.4 \text{ g}}{42.39 \text{ g/mol}} \approx 0.9294 \text{ mol}$.
- Calculate the molarity: $molarity = \frac{0.9294 \text{ mol}}{1.59 \text{ L}} \approx 0.5845688656248283 \text{ mol/L}$.
- The molarity of the solution is approximately 0.585 mol/L.
- Final Answer: $\boxed{0.585 \frac{mol}{L}}$
### Explanation
1. Understanding the Problem
We are asked to find the molarity of a lithium chloride (LiCl) solution. Molarity is defined as the number of moles of solute (LiCl in this case) per liter of solution. We are given the mass of LiCl dissolved (39.4 g), the volume of the solution (1.59 L), and the molar mass of LiCl (42.39 g/mol).
2. Calculating Moles of LiCl
First, we need to calculate the number of moles of LiCl using the formula:
$$moles = \frac{mass}{molar\_mass}$$
Substituting the given values:
$$moles = \frac{39.4 \text{ g}}{42.39 \text{ g/mol}}$$
$$moles \approx 0.9294 \text{ mol}$$
3. Calculating Molarity
Next, we calculate the molarity of the solution using the formula:
$$molarity = \frac{moles\_of\_solute}{volume\_of\_solution}$$
Substituting the calculated moles of LiCl and the given volume of the solution:
$$molarity = \frac{0.9294 \text{ mol}}{1.59 \text{ L}}$$
$$molarity \approx 0.5845688656248283 \text{ mol/L}$$
4. Final Answer
Therefore, the molarity of the LiCl solution is approximately 0.585 mol/L.
### Examples
Molarity is a crucial concept in chemistry, especially when preparing solutions for experiments. For instance, if you're conducting a reaction that requires a specific concentration of LiCl, knowing how to calculate molarity allows you to accurately prepare the solution. This ensures the reaction proceeds as expected, highlighting the importance of molarity in quantitative chemical analysis and experimental reproducibility.
\frac{39.4 \text{ g}}{42.39 \text{ g/mol}} \approx 0.9294 \text{ mol}$.
- Calculate the molarity: $molarity = \frac{0.9294 \text{ mol}}{1.59 \text{ L}} \approx 0.5845688656248283 \text{ mol/L}$.
- The molarity of the solution is approximately 0.585 mol/L.
- Final Answer: $\boxed{0.585 \frac{mol}{L}}$
### Explanation
1. Understanding the Problem
We are asked to find the molarity of a lithium chloride (LiCl) solution. Molarity is defined as the number of moles of solute (LiCl in this case) per liter of solution. We are given the mass of LiCl dissolved (39.4 g), the volume of the solution (1.59 L), and the molar mass of LiCl (42.39 g/mol).
2. Calculating Moles of LiCl
First, we need to calculate the number of moles of LiCl using the formula:
$$moles = \frac{mass}{molar\_mass}$$
Substituting the given values:
$$moles = \frac{39.4 \text{ g}}{42.39 \text{ g/mol}}$$
$$moles \approx 0.9294 \text{ mol}$$
3. Calculating Molarity
Next, we calculate the molarity of the solution using the formula:
$$molarity = \frac{moles\_of\_solute}{volume\_of\_solution}$$
Substituting the calculated moles of LiCl and the given volume of the solution:
$$molarity = \frac{0.9294 \text{ mol}}{1.59 \text{ L}}$$
$$molarity \approx 0.5845688656248283 \text{ mol/L}$$
4. Final Answer
Therefore, the molarity of the LiCl solution is approximately 0.585 mol/L.
### Examples
Molarity is a crucial concept in chemistry, especially when preparing solutions for experiments. For instance, if you're conducting a reaction that requires a specific concentration of LiCl, knowing how to calculate molarity allows you to accurately prepare the solution. This ensures the reaction proceeds as expected, highlighting the importance of molarity in quantitative chemical analysis and experimental reproducibility.