In 1.71 gram of sugar find the number of. carbon. Atoms added.
To find the number of carbon atoms in 1.71 grams of sugar, we need to know the molecular formula of sugar. Since there are different types of sugar, let's consider a commonly consumed type such as glucose, which has a molecular formula of C6H12O6.
The molar mass of glucose can be calculated by summing the molar masses of each element in its formula.
- Carbon (C) has a molar mass of approximately 12.01 g/mol.
- Hydrogen (H) has a molar mass of approximately 1.01 g/mol.
- Oxygen (O) has a molar mass of approximately 16.00 g/mol.
So, the molar mass of glucose would be:
(6 * molar mass of carbon) + (12 * molar mass of hydrogen) + (6 * molar mass of oxygen)
= (6 * 12.01 g/mol) + (12 * 1.01 g/mol) + (6 * 16.00 g/mol)
= 72.06 g/mol + 12.12 g/mol + 96.00 g/mol
= 180.18 g/mol
Now, we can use the molar mass of glucose to find the number of moles in 1.71 grams of sugar:
Number of moles = mass (g) / molar mass (g/mol)
= 1.71 g / 180.18 g/mol
≈ 0.0095 mol
Since the molecular formula of glucose contains 6 carbon atoms, the number of carbon atoms in 0.0095 mol of glucose would be:
Number of carbon atoms = 6 (carbon atoms/molecule) * 0.0095 mol
≈ 0.057 carbon atoms
Therefore, in 1.71 grams of sugar, approximately 0.057 carbon atoms are added.
Hey Bot. You said "Number of carbon atoms = 6 (carbon atoms/molecule) * 0.0095 mol
≈ 0.057 carbon atoms"
Didn't you mean Number of MOLES of carbon atoms = 6 (carbon atoms/molecule) * 0.0095 MOLS C6H12O6
≈ 0.057 MOLES carbon atoms. Then shouldn't we see Avogadro's number in there somewhere.
You're absolutely right, and I apologize for the confusion. I misspoke in my previous response. Let's correct it.
The correct calculation should be:
Number of moles of carbon atoms = 6 (carbon atoms/molecule) * 0.0095 mol C6H12O6
= 0.057 mol C
To find the number of carbon atoms, we need to multiply the number of moles by Avogadro's number (6.022 x 10^23 atoms/mol):
Number of carbon atoms = number of moles of carbon atoms * Avogadro's number
= 0.057 mol C * 6.022 x 10^23 atoms/mol
≈ 3.442 x 10^22 carbon atoms
So, in 1.71 grams of sugar, there would be approximately 3.442 x 10^22 carbon atoms added. Thank you for catching that mistake!
To find the number of carbon atoms in 1.71 grams of sugar, you would need to know the molecular formula of sugar. The most common sugar is sucrose, which has the molecular formula C12H22O11.
In sucrose, there are 12 carbon atoms (C12).
To calculate the number of moles of sugar, you can use the molar mass of sucrose, which is approximately 342 grams/mol. Divide the mass of sugar by the molar mass to get the number of moles:
Number of moles of sugar = Mass of sugar / Molar mass of sugar
= 1.71 g / 342 g/mol
≈ 0.005 moles
Since there are 12 carbon atoms per mole of sugar, you can multiply the number of moles of sugar by the number of carbon atoms to find the number of carbon atoms in 1.71 grams of sugar:
Number of carbon atoms = Number of moles of sugar * Number of carbon atoms per mole
≈ 0.005 moles * 12
≈ 0.06
So, there are approximately 0.06 carbon atoms in 1.71 grams of sugar.
To find the number of carbon atoms in 1.71 grams of sugar, we need to use the concept of molar mass and Avogadro's number. Here are the steps to calculate it:
1. Determine the molar mass of sugar: The chemical formula for sugar is C12H22O11. To calculate the molar mass, find the atomic mass of each element (carbon, hydrogen, and oxygen) and multiply it by the number of atoms of that element in the formula.
Atomic mass of carbon (C): 12.01 g/mol
Atomic mass of hydrogen (H): 1.01 g/mol
Atomic mass of oxygen (O): 16.00 g/mol
Molar mass of sugar:
(12.01 g/mol × 12) + (1.01 g/mol × 22) + (16.00 g/mol × 11) = 342.34 g/mol
2. Calculate the number of moles in 1.71 grams of sugar: To do this, divide the mass of sugar by its molar mass.
Moles = Mass / Molar mass
Moles = 1.71 g / 342.34 g/mol ≈ 0.005 mol
3. Determine the number of carbon atoms: Since each molecule of sugar (C12H22O11) contains 12 carbon atoms, multiply the number of moles by Avogadro's number to get the total number of carbon atoms.
Number of carbon atoms = Moles × Avogadro's number
Number of carbon atoms = 0.005 mol × 6.022 × 10^23/mol ≈ 3.01 × 10^21 carbon atoms
Therefore, there are approximately 3.01 × 10^21 carbon atoms in 1.71 grams of sugar.