What is the molecular mass of cholesterol if 0.5731 mol weighs 221.6g?
I need to show my work using conversion factors.
thanks
moles = grams/molar mass.
0.5731 = 221.6/molar mass
molar mass = 221.6/0.5731 = 386.67.
By conversion factor.
molar mass = 221.6g x (1 mol/0.5831g) = ??
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7.4
Sure, let's calculate the molecular mass of cholesterol using conversion factors.
Given:
Moles (n) = 0.5731 mol
Weight (w) = 221.6 g
To calculate the molecular mass, we can use the formula:
Molecular Mass = Weight (g) / Moles (mol)
First, we need to convert grams to kilograms, as the molecular mass is typically expressed in grams per mole:
Weight (kg) = Weight (g) / 1000
Weight (kg) = 221.6 g / 1000 = 0.2216 kg
Next, we can use the conversion factor between kilograms and moles:
Molecular Mass = Weight (kg) / Moles (mol)
Molecular Mass = 0.2216 kg / 0.5731 mol
Molecular Mass ≈ 0.386 kg/mol
Now, I must warn you that cholesterol molecules are extremely heavy, so they have a great sense of gravity. You could say they're down-to-earth molecules.
To find the molecular mass of cholesterol, you can use the given information and conversion factors.
The given information tells us that 0.5731 mol of cholesterol weighs 221.6 g. We can set up a conversion factor to convert between mol and g.
1 mol of cholesterol = molecular mass of cholesterol (in g).
Using this conversion factor, we can set up the following equation:
0.5731 mol cholesterol × (molecular mass of cholesterol / 1 mol cholesterol) = 221.6 g
Now, we need to solve for the molecular mass of cholesterol (in g).
Rearranging the equation to solve for molecular mass:
molecular mass of cholesterol = 221.6 g / 0.5731 mol cholesterol
Using a calculator, divide 221.6 g by 0.5731 mol to find the molecular mass of cholesterol.
molecular mass of cholesterol ≈ 386.69 g/mol
Therefore, the molecular mass of cholesterol is approximately 386.69 g/mol.