Answer
Molarity of the solution = 2.81 mol/L
Step-by-step explanation
Given:
Mass of lithium carbonate = 38 grams
Volume of solution = 183 mL
What to find:
Molarity of the solution.
Step-by-step solution:
The molarity of the solution can be calculated using the molarity formula, which is;
![Molarrity=\frac{Mole}{Volume\text{ }in\text{ }L}](https://img.qammunity.org/2023/formulas/chemistry/high-school/515lbg7yjvq7vt9vgzy09r42nvk42km1xx.png)
First, you need to convert 38 grams of lithium carbonate to mole using the mole formula.
Molar mass of lithium carbonate = 73.891 g/mol
![Mole=\frac{Mass}{Molar\text{ }mass}=\frac{38\text{ }g}{73.891\text{ }g\text{/}mol}=0.51427102\text{ }mol](https://img.qammunity.org/2023/formulas/chemistry/high-school/uwt6lv05g7yq7ph9ykmbc2k2sqr4ozb0zw.png)
Also, Volume in L = (183/1000) = 0.183 L
Putting the values of mole and volume in L into the molarity formula above, we have;
![Molarity=\frac{0.51427102\text{ }mol}{0.183\text{ }L}=2.81\text{ }mol\text{/}L](https://img.qammunity.org/2023/formulas/chemistry/high-school/4htgsfagm5bn7e1w7nb5ct87c7hvucndds.png)
Hence, the molarity of the solution is 2.81 mol/L.