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Multiple Choice
Calculate the mass of malonic acid, CH₂(COOH)₂, required to make 25 mL of a solution that is 0.15 M in malonic acid.
A
0.75 g
B
0.39 g
C
0.25 g
D
0.15 g
Verified step by step guidance
1
First, understand that molarity (M) is defined as moles of solute per liter of solution. Here, you need to find the mass of malonic acid required for a 0.15 M solution in 25 mL.
Convert the volume of the solution from milliliters to liters. Since 1 L = 1000 mL, divide 25 mL by 1000 to get the volume in liters.
Use the molarity formula: \( M = \frac{n}{V} \), where \( n \) is the number of moles and \( V \) is the volume in liters. Rearrange the formula to solve for \( n \): \( n = M \times V \). Substitute the values for molarity and volume to find the number of moles of malonic acid needed.
Calculate the molar mass of malonic acid, CH₂(COOH)₂. Add the atomic masses of all atoms in the formula: 2 carbon (C), 4 hydrogen (H), and 4 oxygen (O) atoms. Use the periodic table for atomic masses: C = 12.01 g/mol, H = 1.01 g/mol, O = 16.00 g/mol.
Finally, use the formula \( ext{mass} = ext{moles} \times ext{molar mass} \) to find the mass of malonic acid required. Multiply the number of moles calculated in step 3 by the molar mass calculated in step 4.