How many moles of steric acid are contained in 0.25mL of a hexane solution containing 5.4x10^-4 grams of steric acid/L? (Hint: g/L x L = g/ (g/mol)=mol).
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7.6x10E-3
To determine the number of moles of stearic acid in the given volume of solution, we need to convert the concentration from grams per liter (g/L) to moles.
Step 1: Convert grams per liter (g/L) to grams per milliliter (g/mL):
We have the concentration in grams per liter (g/L) and the volume in milliliters (mL). Since 1 liter is equal to 1000 milliliters, we can convert the concentration to grams per milliliter (g/mL) as follows:
5.4 x 10^-4 g/L x 1 g / 1000 mL = 5.4 x 10^-7 g/mL
Step 2: Calculate the total grams of stearic acid:
We have the concentration in grams per milliliter (g/mL) and the volume in milliliters (mL). By multiplying these values, we can calculate the total grams of stearic acid in the given volume of solution:
5.4 x 10^-7 g/mL x 0.25 mL = 1.35 x 10^-7 grams
Step 3: Convert grams to moles:
To convert grams to moles, we need to know the molar mass of stearic acid. The molar mass of stearic acid is approximately 284.48 g/mol. Using this value, we can calculate the number of moles:
1.35 x 10^-7 g / (284.48 g/mol) = 4.74 x 10^-10 mol
Therefore, there are approximately 4.74 x 10^-10 moles of stearic acid in 0.25 mL of the hexane solution.
To find the number of moles of stearic acid in the given hexane solution, we can use the formula:
moles of stearic acid = (grams of stearic acid / (grams per mole)) x (milliliters of solution / 1000 L)
First, convert 0.25 mL to liters:
0.25 mL = (0.25 mL) / (1000 mL/L) = 0.00025 L
Next, we need to find the grams of stearic acid in 1 liter of the solution.
Given:
grams of stearic acid per liter = 5.4 x 10^-4 g/L
Now, we can calculate the grams of stearic acid in 0.00025 L of the solution:
grams of stearic acid = (grams of stearic acid per liter) x (0.00025 L)
grams of stearic acid = 5.4 x 10^-4 g/L x 0.00025 L
grams of stearic acid = 1.35 x 10^-7 g
Lastly, we need to convert the grams of stearic acid to moles. To do this, we need to know the molar mass of stearic acid.
The molar mass of stearic acid (C18H36O2) can be found by summing the atomic masses of each element.
C: 12.01 g/mol
H: 1.008 g/mol
O: 16 g/mol
molar mass of stearic acid = (12.01 g/mol x 18) + (1.008 g/mol x 36) + (16 g/mol x 2) = 284.49 g/mol
Now, we can calculate the moles of stearic acid:
moles of stearic acid = (grams of stearic acid) / (molar mass of stearic acid)
moles of stearic acid = (1.35 x 10^-7 g) / (284.49 g/mol)
moles of stearic acid ≈ 4.74 x 10^-10 mol
Therefore, there are approximately 4.74 x 10^-10 moles of stearic acid in 0.25 mL of the hexane solution.
I hope this explanation helps! Let me know if you have any further questions.