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Multiple Choice
Calculate the number of grams of KOH in 250.0 mL of a 0.189 M solution.
A
2.65 grams
B
0.95 grams
C
3.78 grams
D
1.35 grams
Verified step by step guidance
1
Start by understanding the concept of molarity, which is defined as the number of moles of solute per liter of solution. The formula for molarity (M) is: , where is the number of moles and is the volume in liters.
Convert the volume of the solution from milliliters to liters. Since there are 1000 milliliters in a liter, divide 250.0 mL by 1000 to get the volume in liters: L.
Use the molarity formula to find the number of moles of KOH in the solution. Rearrange the formula to solve for : . Substitute the given values: .
Calculate the molar mass of KOH. Potassium (K) has a molar mass of approximately 39.10 g/mol, oxygen (O) is about 16.00 g/mol, and hydrogen (H) is about 1.01 g/mol. Add these together to find the molar mass of KOH: g/mol.
Finally, convert the moles of KOH to grams using the molar mass. Use the formula: . Substitute the number of moles calculated in step 3 and the molar mass from step 4 to find the mass in grams.