A sample of sucrose, C12H22O11(s),contains 0.16 mol of oxygen, atoms(O).
a.) What amount in moles of sucrose is in the sample?
b.)How many atoms of carbon are in the sample?
a.) Well, let's break it down! The molecular formula for sucrose, C12H22O11, tells us that there are 12 carbon atoms, 22 hydrogen atoms, and 11 oxygen atoms in each molecule. We know that we have 0.16 mol of oxygen atoms, so to find the moles of sucrose, we need to multiply that by the ratio of moles of oxygen to moles of sucrose. Since there are 11 moles of oxygen for every 1 mole of sucrose in the formula, we can calculate the amount of sucrose as (0.16 mol) / (11 mol O/1 mol sucrose). Multiply those numbers together, and you'll have your answer!
b.) Now, for the number of carbon atoms! We already established that there are 12 carbon atoms in each molecule of sucrose. And since we have the moles of sucrose from part a, we can use Avogadro's number (6.02214076 x 10^23) to calculate the number of atoms of carbon. Just multiply the moles of sucrose by Avogadro's number and by the number of carbon atoms per molecule (12). Voila!
To determine the amount in moles of sucrose in the sample, we need to find the molar mass of sucrose and divide the given amount of oxygen by the number of moles of oxygen in one mole of sucrose.
a.) The molar mass of sucrose, C12H22O11, can be calculated as follows:
C: 12 g/mol
H: 1 g/mol (x 22) = 22 g/mol
O: 16 g/mol (x 11) = 176 g/mol
Adding up the molar masses of each element in sucrose:
12 + 22 + 176 = 210 g/mol
Now, we can calculate the amount of sucrose in moles:
0.16 mol O / (1 mol O2 / 12 mol sucrose) = 0.16 mol O / (1/12) = 0.16 mol O x 12 = 1.92 mol sucrose
b.) The number of atoms of carbon in the sample can be found by multiplying the number of moles of sucrose by Avogadro's number.
Number of moles of sucrose: 1.92 mol
Avogadro's number: 6.022 x 10^23 mol^-1
Number of carbon atoms: 1.92 mol x 6.022 x 10^23 mol^-1 = 1.155 x 10^24 atoms of carbon
To answer these questions, we need to calculate the number of moles of sucrose and the number of atoms of carbon in the given sample. We can do this by using the molar mass of sucrose and the stoichiometry of the chemical formula.
a.) To find the amount in moles of sucrose in the sample, we need to calculate the molar mass of sucrose (C12H22O11). To do this, we sum up the masses of individual atoms in the chemical formula.
The molar mass of carbon (C) is 12.01 g/mol.
The molar mass of hydrogen (H) is 1.01 g/mol.
The molar mass of oxygen (O) is 16.00 g/mol.
So, the molar mass of sucrose (C12H22O11) is:
(12 * 12.01 g/mol) + (22 * 1.01 g/mol) + (11 * 16.00 g/mol) = 342.34 g/mol
Now, we can calculate the amount in moles (n) of sucrose in the given sample using the formula:
n = mass of the sample / molar mass
However, since the mass of the sample is not provided, we cannot calculate the exact value for moles of sucrose. The question only states that there are 0.16 moles of oxygen. Without the mass of the sample, we cannot calculate the moles of sucrose accurately.
b.) To calculate the number of atoms of carbon in the sample, we need to know how many moles of sucrose are in the sample. Since we do not have the information about the mass of the sample, we cannot directly calculate the moles of sucrose and, consequently, the number of atoms of carbon in the sample.
Without the mass of the sample, we cannot calculate the moles of sucrose or the number of atoms of carbon accurately.
0.16 mol O2 x (2 mol O/1 mol O2) x ( mol C12H22O11/11 mol O)
b is the same concept.