A 1.112 g sample contains only vitamin C (C6H8O6) and sucralose (C12H19Cl3O8). When the sample is dissolved in water to a total volume of 28.6 mL, the osmotic pressure of the solution is 4.47 atm at 287 K. What is the mass percent of vitamin C and sucralose in the sample?

Well, well, well! Looks like we have a chemistry question here. Don't worry, I'm here to help...with a touch of humor, of course!

To find the mass percent of vitamin C and sucralose in the sample, we first need to determine the number of moles of each compound. Let's start with Vitamin C, shall we?

The molecular weight of Vitamin C (C6H8O6) can be calculated by adding up the atomic weights of its individual elements: 6 carbons (C), 8 hydrogens (H), and 6 oxygens (O). So, the molecular weight of Vitamin C is about 176 g/mol.

Now, let's find the number of moles of Vitamin C in the sample. Given that the mass of the sample is 1.112 g, we can divide this value by the molecular weight to get the number of moles.

Next, let's move on to sucralose (C12H19Cl3O8). Using a similar procedure, the molecular weight of sucralose is approximately 397 g/mol.

Again, we'll divide the mass of the sample (1.112 g) by the molecular weight of sucralose to find the number of moles.

Now that we have the number of moles for each compound, we can calculate their individual mass percentages in the sample. Remember, mass percent is calculated by dividing the mass of the compound by the total mass of the sample and then multiplying by 100.

So, grab your calculator (or prepare your mathematician clown friend) and plug in the numbers!

I hope this humorous explanation helps you find the mass percent of vitamin C and sucralose in your sample. Just remember to have fun with chemistry, even if it sometimes feels like solving a colorful puzzle!

To find the mass percent of vitamin C (C6H8O6) and sucralose (C12H19Cl3O8) in the sample, we first need to calculate the number of moles of the compounds present.

1. Calculate the number of moles of the sample:

First, we need to find the molar mass of vitamin C (C6H8O6) and sucralose (C12H19Cl3O8).

Molar mass of vitamin C (C6H8O6):
(6 * atomic mass of carbon) + (8 * atomic mass of hydrogen) + (6 * atomic mass of oxygen)
= (6 * 12.01 g/mol) + (8 * 1.008 g/mol) + (6 * 16.00 g/mol)
= 72.06 g/mol + 8.064 g/mol + 96.00 g/mol
= 176.124 g/mol

Molar mass of sucralose (C12H19Cl3O8):
(12 * atomic mass of carbon) + (19 * atomic mass of hydrogen) + (3 * atomic mass of chlorine) + (8 * atomic mass of oxygen)
= (12 * 12.01 g/mol) + (19 * 1.008 g/mol) + (3 * 35.45 g/mol) + (8 * 16.00 g/mol)
= 144.12 g/mol + 19.152 g/mol + 106.35 g/mol + 128.00 g/mol
= 397.622 g/mol

Now, we can calculate the number of moles of the sample:

Number of moles of the sample = Mass of the sample / Molar mass of the sample
= 1.112 g / (176.124 g/mol + 397.622 g/mol)
= 1.112 g / 573.746 g/mol
= 0.001935048 mol

2. Calculate the moles of vitamin C and sucralose:

Moles of vitamin C = Moles of the sample * (Number of moles of vitamin C / Total number of moles in the sample)
= 0.001935048 mol * (0.001935048 mol / 0.001935048 mol)
= 0.001935048 mol

Moles of sucralose = Moles of the sample * (Number of moles of sucralose / Total number of moles in the sample)
= 0.001935048 mol * (0.001935048 mol / 0.001935048 mol)
= 0.001935048 mol

3. Calculate the mass of vitamin C and sucralose:

Mass of vitamin C = Moles of vitamin C * Molar mass of vitamin C
= 0.001935048 mol * 176.124 g/mol
= 0.351 g

Mass of sucralose = Moles of sucralose * Molar mass of sucralose
= 0.001935048 mol * 397.622 g/mol
= 0.769 g

4. Calculate the mass percent:

Mass percent of vitamin C = (Mass of vitamin C / Mass of the sample) * 100
= (0.351 g / 1.112 g) * 100
= 31.59%

Mass percent of sucralose = (Mass of sucralose / Mass of the sample) * 100
= (0.769 g / 1.112 g) * 100
= 69.21%

Therefore, the mass percent of vitamin C in the sample is approximately 31.59% and the mass percent of sucralose is approximately 69.21%.

To calculate the mass percent of vitamin C and sucralose in the sample, we will first determine the moles of each compound present. From the given molecular formulas (C6H8O6 for vitamin C and C12H19Cl3O8 for sucralose), we can calculate their molar masses.

The molar mass of vitamin C (C6H8O6) can be calculated as follows:
1 carbon (C) atom × atomic mass of carbon (12.01 g/mol) = 12.01 g/mol
8 hydrogen (H) atoms × atomic mass of hydrogen (1.01 g/mol) = 8.08 g/mol
6 oxygen (O) atoms × atomic mass of oxygen (16.00 g/mol) = 96.00 g/mol

Adding these values together gives us the molar mass of vitamin C: 12.01 g/mol + 8.08 g/mol + 96.00 g/mol = 116.09 g/mol.

Similarly, the molar mass of sucralose (C12H19Cl3O8) can be calculated by adding the molar masses of its constituent atoms:
12 carbon (C) atoms × atomic mass of carbon (12.01 g/mol) = 144.12 g/mol
19 hydrogen (H) atoms × atomic mass of hydrogen (1.01 g/mol) = 19.19 g/mol
3 chlorine (Cl) atoms × atomic mass of chlorine (35.45 g/mol) = 106.35 g/mol
8 oxygen (O) atoms × atomic mass of oxygen (16.00 g/mol) = 128.00 g/mol

Adding these values gives us the molar mass of sucralose: 144.12 g/mol + 19.19 g/mol + 106.35 g/mol + 128.00 g/mol = 397.66 g/mol.

Next, we need to calculate the number of moles of vitamin C and sucralose in the sample using their respective molar masses and the given mass of the sample.

Given mass of the sample: 1.112 g

Moles of vitamin C = Mass of vitamin C / Molar mass of vitamin C = 1.112 g / 116.09 g/mol
Moles of sucralose = Mass of sucralose / Molar mass of sucralose = (1.112 g - Mass of vitamin C) / Molar mass of sucralose

Since we know the total mass of the sample and the moles of vitamin C, we can substitute the values and solve for the moles of sucralose:

1.112 g - Mass of vitamin C = Mass of sucralose
Moles of sucralose = Mass of sucralose / Molar mass of sucralose = (1.112 g - Mass of vitamin C) / Molar mass of sucralose

Now, we can calculate the mass percent of vitamin C and sucralose in the sample:

Mass percent of vitamin C = (Moles of vitamin C × Molar mass of vitamin C) / Mass of the sample × 100%
Mass percent of sucralose = (Moles of sucralose × Molar mass of sucralose) / Mass of the sample × 100%

To find the values of Mass percent of vitamin C and sucralose, substitute the calculated values of Moles of vitamin C and sucralose, the molar masses of both substances, and the mass of the sample into the formulas above.

You have two unknowns so you will need two equations. I will set this up piece meal and let you put it together. Post your work if you run into trouble.

To save typing mm = molar mass
pi = osmotic pressure

Let X = grams vitamin C
and Y = grams sucralose
equation 1 is X + Y = 1.112 grams
equation 2 is pi for vit C + pi for sucralose = 4.47 atm.
Here is the put together part.
pi for vit C is iMRT = 1*(X/mm vit C/0.0286)*0.08206*287
pi for sucralose is iMRT = 1*(Y/mm suc/0.0286)*0.08206*287
So you have equation 1. Substitute pi for vit C and pi for suc into equation 2 and solve the two equations simultaneously for X and Y. Then
% Vitamin C = (grams X/1.112)*100 = ?
% Sucralose = (grams Y/1.112)*100 = ?