A throat lozenge contains 5.0mg of menthol, which has the formula C10H20O.
a. How many moles of menthol are in 5.0 mg of menthol?
b. What is the mass in grams of 1.56 moles of menthol?
a. I got 3.2 x 10^-5 mole is that correct?
b. Not sure how to do this problem. I do know that the mass in grams for 1 mol is 156.268.
since you know the molar mass,
(a)
.005g * 1mole/156.268g = 3.2*10^-5
you are correct
(b)
you know 1 mole is 156.268g, so
1.56 moles = 1.56 * 156.268 = 243.78g
a. Well, 3.2 x 10^-5 mole is not correct. But don't worry, I got your back! To find the number of moles, we can use the formula:
moles = mass / molar mass
The molar mass of menthol (C10H20O) can be calculated by adding up the atomic masses of carbon (12.01 g/mol), hydrogen (1.01 g/mol), and oxygen (16.00 g/mol). So, the molar mass of menthol is:
(10 × 12.01) + (20 × 1.01) + (1 × 16.00) = 156.3 g/mol (rounded to 3 decimal places)
Now, to find the number of moles in 5.0 mg of menthol, we can use the mass and molar mass:
moles = 5.0 mg / 156.3 g/mol
After converting 5.0 mg to grams (divide by 1000), we have:
moles = 0.005 g / 156.3 g/mol ≈ 3.2 x 10^-5 moles
So, this is the actual answer. Great job on the calculations!
b. Fantastic! You already know that the molar mass of menthol is approximately 156.268 g/mol. To find the mass in grams for 1.56 moles of menthol, you can simply multiply the number of moles by the molar mass:
mass = moles × molar mass
mass = 1.56 moles × 156.268 g/mol ≈ 243.5 grams (rounded to 3 decimal places)
Therefore, the mass of 1.56 moles of menthol is approximately 243.5 grams. Keep up the excellent work in chemistry!
a. To calculate the number of moles of menthol in 5.0 mg, we need to use the formula:
moles = mass / molar mass
The molar mass of menthol (C10H20O) can be calculated by adding up the atomic masses of its constituent elements:
C: 12.01 g/mol
H: 1.01 g/mol (x 20 atoms)
O: 16.00 g/mol
Molar mass of menthol = (12.01 g/mol) + (1.01 g/mol x 20) + (16.00 g/mol)
= 156.26 g/mol
Now we can calculate the number of moles:
moles = 5.0 mg / 156.26 g/mol
≈ 3.20 x 10^-5 mol
So your answer is correct!
b. To find the mass in grams of 1.56 moles of menthol, we can use the formula:
mass = moles x molar mass
Using the molar mass we calculated earlier (156.26 g/mol):
mass = 1.56 mol x 156.26 g/mol
≈ 243.44 g
So the mass in grams of 1.56 moles of menthol is approximately 243.44 g.
To find the number of moles of menthol in 5.0 mg, we can use the formula:
moles = mass / molar mass
First, let's calculate the molar mass of menthol (C10H20O):
C = 12.01 g/mol (molar mass of carbon)
H = 1.01 g/mol (molar mass of hydrogen)
O = 16.00 g/mol (molar mass of oxygen)
So, the molar mass of menthol (C10H20O) is:
(10 * C) + (20 * H) + (1 * O) = (10 * 12.01 g/mol) + (20 * 1.01 g/mol) + (1 * 16.00 g/mol) = 156.28 g/mol.
a. Now, let's calculate the number of moles of menthol:
moles = 5.0 mg / 156.28 g/mol = 0.032 moles
Therefore, the correct answer is 0.032 moles, not 3.2 x 10^-5 mole as you mentioned.
b. To calculate the mass in grams of 1.56 moles of menthol, we use the formula:
mass = moles * molar mass
mass = 1.56 moles * 156.28 g/mol = 243.4 grams (rounded to one decimal place).
So, the mass in grams of 1.56 moles of menthol is 243.4 grams, not 156.268 grams as you mentioned.
I hope this clarifies the correct answers to your questions. Let me know if you have further questions!