Final answer:
In 2.00 g of butane, there are approximately 8.28 x 10^22 carbon atoms.
Step-by-step explanation:
The chemical formula for butane is C4H10. To determine the number of carbon atoms in 2.00 g of butane, we need to convert the mass of butane to moles using its molar mass. The molar mass of butane can be calculated by summing the atomic masses of carbon and hydrogen in the molecule.
The atomic mass of carbon is 12.01 g/mol, and there are 4 carbon atoms in butane. The atomic mass of hydrogen is 1.01 g/mol, and there are 10 hydrogen atoms in butane. Therefore, the molar mass of butane is (4 * 12.01) + (10 * 1.01) = 58.12 g/mol. To find the number of moles in 2.00 g of butane, we divide the mass by the molar mass: 2.00 g / 58.12 g/mol = 0.0344 mol. Since there are 4 carbon atoms in 1 mole of butane, there are 4 * 0.0344 = 0.1376 moles of carbon atoms in 2.00 g of butane. Therefore, there are approximately 0.1376 moles * (6.022 x 10^23 atoms/mole) = 8.28 x 10^22 carbon atoms in 2.00 g of butane.