Calculate the mass of glucose C6H12O6 that contains a trillion 1.000 x 10^12 carbon atoms.

Question

Calculate the mass of glucose C6H12O6 that contains a trillion 1.000 x 10^12 carbon atoms.

Be sure your answer has a unit symbol if necessary, and round it to 4 significant digits.

Answer 1

We can use dimensional analysis (unit factor method) to approach this problem.

1.000x10¹² C atoms x 1 molecule glucose/6 C atoms = 01.6667x10¹¹ molecules of glucose

1.6667x10¹¹ molecules glucose x 1 mole glucose/6.02x10²³ molecules = 2.7685x10^-13 moles glucose

2.7685x10^-13 moles glucose x 180.2 g glucose/mol = 4.989x10^-11 g glucose