To determine the number of carbon atoms present in a paper, given that the mass increased by 1.2 grams due to a signature, we need additional information such as the molecular formula or composition of the paper.
If we assume the paper consists solely of carbon (C) atoms, we can calculate the number of carbon atoms using the atomic mass of carbon.
The atomic mass of carbon (C) is approximately 12.01 grams per mole (g/mol). This means that one mole of carbon contains 6.022 x 10^23 carbon atoms (Avogadro's number).
To find the number of carbon atoms in 1.2 grams of carbon, we can use the following steps:
Calculate the number of moles of carbon using the given mass and molar mass: Number of moles = Mass / Molar mass = 1.2 g / 12.01 g/mol = 0.09991 mol (rounded to five decimal places)
Convert the number of moles to the number of carbon atoms using Avogadro's number: Number of carbon atoms = Number of moles * Avogadro's number = 0.09991 mol * 6.022 x 10^23 atoms/mol = 6.012 x 10^22 atoms
Therefore, in 1.2 grams of carbon, there are approximately 6.012 x 10^22 carbon atoms.