90 g of Cr(ClO4)2 is dissolved in water to produce a solution with a concentration of 0.154 M. What is the volume of this solution in liters?
Question
90 g of Cr(ClO4)2 is dissolved in water to produce a solution with a concentration of 0.154 M. What is the volume of this solution in liters?
Solution
Sure, here's how you can solve this problem:
Step 1: Determine the molar mass of Cr(ClO4)2. The molar mass of Cr is approximately 52 g/mol, Cl is approximately 35.5 g/mol, and O is approximately 16 g/mol. Since there are 2 Cl and 8 O atoms in Cr(ClO4)2, the molar mass is 52 + 2*(35.5 + 416) = 52 + 299 = 250 g/mol.
Step 2: Convert the mass of Cr(ClO4)2 to moles using the molar mass. 90 g / 250 g/mol = 0.36 moles.
Step 3: Use the definition of molarity (moles of solute / volume of solution in liters) to find the volume. 0.154 M = 0.36 moles / volume. Solving for volume gives volume = 0.36 moles / 0.154 M = 2.34 liters.
So, the volume of the solution is approximately 2.34 liters.
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