Question

a sample of ethanol (c2h60) contains 3.024 g of hydrogen. how many moles of carbon are in the sample? (molar mass ofczh60 = 46.07 g·mol-1 )

Answer 1

To find the number of moles of carbon in the ethanol sample, first calculate the total mass of ethanol using the mass of hydrogen. Then, divide the total mass of ethanol by the molar mass to get the moles of ethanol, which equals the moles of carbon since each ethanol molecule contains two carbon atoms.

Step-by-step explanation:

The question is asking how to calculate the number of moles of carbon in a sample of ethanol (C2H5OH or C2H6O) given that there are 3.024 grams of hydrogen in the sample. The molar mass of ethanol is provided as 46.07 grams per mole.

First, we need to calculate the total mass of the ethanol sample using the mass of hydrogen. Since ethanol contains 6 hydrogen atoms (with each hydrogen atom having an approximate atomic mass of 1 g/mol), we can say that 6 moles of hydrogen have a mass of 6 grams. Therefore, we can calculate the total sample mass using proportions:

Total mass of ethanol = (Total mass of hydrogen / Mass of hydrogen in one mole of ethanol) * Molar mass of ethanol

Total mass of ethanol = (3.024 g / 6 g/mol) * 46.07 g/mol = 23.24 grams of ethanol

Next, we calculate the moles of ethanol in the sample, and since ethanol has two carbon atoms, this will give us the moles of carbon directly:

Moles of ethanol = Total mass of ethanol / Molar mass of ethanol

Moles of ethanol = 23.24 g / 46.07 g/mol ≈ 0.504 moles of ethanol

Since there are two moles of carbon in every mole of ethanol:

Moles of carbon = Moles of ethanol * 2

Moles of carbon ≈ 0.504 * 2 ≈ 1.008 moles of carbon

Answer 2

To calculate the moles of carbon in ethanol from the given mass of hydrogen, you convert the mass of hydrogen to moles, use the ratio of hydrogen to ethanol to find the moles of ethanol, and then use the stoichiometry of ethanol to find moles of carbon, which is 1.008 moles.

Step-by-step explanation:

Calculating the Number of Moles of Carbon in a Sample of Ethanol

To find the number of moles of carbon in a sample of ethanol (C2H6O) containing 3.024g of hydrogen, we need to start by calculating the total mass of the ethanol sample based on the given hydrogen content. Since hydrogen has a molar mass of approximately 1g/mol and there are 6 atoms of hydrogen in each molecule of ethanol, we have:

1. Divide the mass of hydrogen by the molar mass of hydrogen to get moles of hydrogen: 3.024g / 1g/mol = 3.024 moles of hydrogen.
2. Because there are 6 hydrogens in a molecule of ethanol, we divide the moles of hydrogen by 6 to get moles of ethanol: 3.024 moles H / 6 = 0.504 moles of ethanol.
3. Knowing that each molecule of ethanol contains 2 carbon atoms, to find the moles of carbon we multiply the moles of ethanol by 2: 0.504 moles ethanol x 2 = 1.008 moles of carbon.

Therefore, the sample of ethanol contains 1.008 moles of carbon.