Final answer:
To calculate the mass of camphor (C10H16O) containing a trillion carbon atoms, we find the number of moles of carbon and then the moles of camphor, and finally multiply this by the molar mass of camphor, resulting in approximately 2.53 x 10^-11 grams.
Step-by-step explanation:
To calculate the mass of camphor (C10H16O) that contains a trillion (1.0x1012) carbon atoms, we must first determine the number of moles of carbon atoms in that quantity. A mole of any element, including carbon, contains Avogadro's number of atoms, which is approximately 6.022 x 1023 atoms. Using this value, we can find out how many moles of carbon atoms there are in a trillion carbon atoms:
1.0 x 1012 atoms × (1 mole / 6.022 x 1023 atoms) = approximately 1.66 x 10-12 moles of carbon
Since each molecule of camphor contains 10 carbon atoms, we can then find the number of moles of camphor:
1.66 x 10-12 moles of carbon × (1 mole of C10H16O / 10 moles of carbon) = 1.66 x 10-13 moles of camphor
To find the mass of camphor, we multiply the moles of camphor by its molar mass:
The molar mass of camphor (C10H16O) is 152.23 g/mol (this needs to be given or found using the periodic table to get the molar mass of each element in camphor and summing them up). The mass calculation is as follows:
1.66 x 10-13 moles of camphor × 152.23 g/mol = approximately 2.53 x 10-11 grams of camphor