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The amount of oxalic acid required to pr...

The amount of oxalic acid required to prepare 300 mL of 2.5 M solution is : (molar mass of oxalic acid = 90 g `mol^(–1)`) :

A

67.5 g

B

9.45 g

C

6.75 g

D

94.5 g

Text Solution

AI Generated Solution

The correct Answer is:
To calculate the amount of oxalic acid required to prepare 300 mL of a 2.5 M solution, we can follow these steps: ### Step 1: Understand the formula for molarity Molarity (M) is defined as the number of moles of solute divided by the volume of the solution in liters. \[ \text{Molarity (M)} = \frac{\text{moles of solute}}{\text{volume of solution in liters}} \] ### Step 2: Convert the volume from mL to L We need to convert the volume of the solution from milliliters to liters. Since there are 1000 mL in 1 L: \[ \text{Volume in liters} = \frac{300 \text{ mL}}{1000} = 0.3 \text{ L} \] ### Step 3: Calculate the number of moles of oxalic acid Using the molarity formula, we can rearrange it to find the moles of solute: \[ \text{moles of solute} = \text{Molarity} \times \text{Volume in liters} \] Substituting the values: \[ \text{moles of oxalic acid} = 2.5 \, \text{M} \times 0.3 \, \text{L} = 0.75 \, \text{moles} \] ### Step 4: Calculate the mass of oxalic acid required To find the mass of oxalic acid, we use the formula: \[ \text{mass} = \text{moles} \times \text{molar mass} \] Given that the molar mass of oxalic acid is 90 g/mol: \[ \text{mass of oxalic acid} = 0.75 \, \text{moles} \times 90 \, \text{g/mol} = 67.5 \, \text{g} \] ### Final Answer The amount of oxalic acid required to prepare 300 mL of a 2.5 M solution is **67.5 g**. ---
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