To calculate the molarity of a solution, you need to know the amount of solute (in moles) and the volume of the solution (in liters). Here's how you can calculate the molarity for each solution:
a. 316 g of MgBr2 in 859 mL of solution:
First, convert the mass of MgBr2 to moles:
Molar mass of MgBr2 = 24.31 g/mol (for Mg) + 2 * (79.90 g/mol) (for Br) = 194.11 g/mol
Moles of MgBr2 = 316 g / 194.11 g/mol = 1.628 mol
Next, convert the volume of the solution to liters:
Volume of solution = 859 mL = 859 mL / 1000 mL/L = 0.859 L
Now, calculate the molarity:
Molarity = Moles of solute / Volume of solution
Molarity = 1.628 mol / 0.859 L = 1.894 M
b. 8.28 g of Ca(C5H9O2)2 in 414 mL of solution:
First, convert the mass of Ca(C5H9O2)2 to moles:
Molar mass of Ca(C5H9O2)2 = 40.08 g/mol (for Ca) + 2 * (5 * 12.01 g/mol) + 2 * (9 * 1.01 g/mol) + 2 * (2 * 16.00 g/mol) = 302.36 g/mol
Moles of Ca(C5H9O2)2 = 8.28 g / 302.36 g/mol = 0.0274 mol
Next, convert the volume of the solution to liters:
Volume of solution = 414 mL = 414 mL / 1000 mL/L = 0.414 L
Now, calculate the molarity:
Molarity = Moles of solute / Volume of solution
Molarity = 0.0274 mol / 0.414 L = 0.066 M
You can follow similar steps to calculate the molarity for the remaining solutions (c, d, e) using their respective masses and volumes.