Question

How many atoms are in 250amu of nitrogen? (recall sig figs)

Option 1: 3,502 atoms
Option 2: 3,500 atoms
Option 3: 17 atoms
Option 4: 18 atoms

Answer 1

The number of atoms in 250 amu of nitrogen is approximately 1.07 x 10^25 atoms.

Step-by-step explanation:

The number of atoms in 250 amu of nitrogen can be calculated by dividing the given mass by the molar mass of nitrogen, which is approximately 14.01 g/mol. First, convert the given mass to grams:

250 amu x (1 g/1 amu) = 250 g

Next, calculate the number of moles of nitrogen:

250 g x (1 mol/14.01 g) = 17.84 mol

Finally, use Avogadro's number, which is approximately 6.02 x 10^23 atoms/mol, to calculate the number of atoms:

17.84 mol x (6.02 x 10^23 atoms/mol) = 1.07 x 10^25 atoms

Therefore, the correct answer is Option 4: 1.07 x 10^25 atoms.