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Multiple Choice
2.64 grams of an unknown compound was dissolved in water to yield 150 mL of solution. The concentration of the solution was 0.075 M. What was the molecular weight of the substance?
A
190 g/mol
B
30 g/mol
C
90 g/mol
D
230 g/mol
E
320 g/mol
Verified step by step guidance
1
Start by understanding the relationship between molarity, moles, and volume. Molarity (M) is defined as moles of solute per liter of solution. The formula is: \( M = \frac{n}{V} \), where \( n \) is the number of moles and \( V \) is the volume in liters.
Convert the volume of the solution from milliliters to liters. Since there are 1000 mL in a liter, divide 150 mL by 1000 to get 0.150 L.
Use the molarity formula to find the number of moles of the unknown compound. Rearrange the formula to solve for \( n \): \( n = M \times V \). Substitute the given values: \( n = 0.075 \text{ M} \times 0.150 \text{ L} \).
Calculate the number of moles using the values from the previous step. This will give you the moles of the unknown compound present in the solution.
Finally, determine the molecular weight of the compound using the formula: \( ext{Molecular Weight} = \frac{ ext{mass}}{ ext{moles}} \). Substitute the mass of the compound (2.64 grams) and the moles calculated in the previous step to find the molecular weight.