A student placed 12.0grams of glucose in a flask added enough water to dissolve glucose by swirling then added additional water until the .100 ml mark. A 60.0ml sample of this glucose soon was diluted to 0.500 L. How many grams of glucose are in 100. ml of the final solution.
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To solve this question, we need to follow a series of steps:
Step 1: Calculate the concentration (in mol/L) of the glucose solution that was initially prepared.
- The initial solution was prepared by dissolving 12.0 grams of glucose in enough water to reach a volume of 0.100 L.
- To calculate the concentration, we can refer to the formula: Concentration (in mol/L) = moles/volume (in L).
- First, we need to convert the mass of glucose (in grams) to moles. The molar mass of glucose is 180.18 g/mol.
- The number of moles of glucose can be calculated by dividing the mass of glucose by its molar mass: Moles = Mass/Molar mass.
- Therefore, Moles = 12.0 g / 180.18 g/mol.
- Once we have the moles of glucose, we can calculate the concentration: Concentration (in mol/L) = moles / volume (in L).
- Concentration (in mol/L) = (12.0 g / 180.18 g/mol) / 0.100 L.
- Simplifying this will give us the concentration (in mol/L).
Step 2: Calculate the number of moles of glucose in the 60.0 mL sample.
- We are given that a 60.0 mL sample of this glucose solution was taken.
- To calculate the number of moles, we will use the formula: Moles = Concentration (in mol/L) * volume (in L).
- In this case, we will use the concentration we calculated in step 1 and convert the volume to liters: 60.0 mL = 0.0600 L.
- Moles = Concentration (from step 1) * 0.0600 L.
Step 3: Calculate the concentration (in mol/L) of the final solution after dilution.
- The 60.0 mL sample was diluted to 0.500 L.
- To calculate the concentration, we will use the formula: Concentration (in mol/L) = moles / volume (in L).
- In this case, we will use the moles calculated in step 2 and the volume of the final solution: 0.500 L.
- Concentration (in mol/L) = Moles (from step 2) / 0.500 L.
Step 4: Calculate the number of moles of glucose in 100 mL of the final solution.
- We are asked to find the number of moles of glucose in 100 mL of the final solution.
- First, we need to convert 100 mL to liters: 100 mL = 0.100 L.
- To calculate the number of moles, we will use the formula: Moles = Concentration (in mol/L) * volume (in L).
- In this case, we will use the concentration calculated in step 3 and the volume of 0.100 L.
- Moles = Concentration (from step 3) * 0.100 L.
Step 5: Convert moles to grams.
- Once we have the number of moles of glucose from step 4, we can convert it to grams.
- We will use the molar mass of glucose (180.18 g/mol) to convert moles to grams.
- Grams = Moles * Molar mass.
By following these steps, we can calculate the number of grams of glucose in 100 mL of the final solution.