Question

2.04 x 10^23 atoms of carbon to grams

Answer 1

Mass of carbon = 4.069 g

Step-by-step explanation

Given:

Number of atoms = 2.04x10^23 atoms

Required: Mass of carbon

Solution

Step 1: Find the number of moles of carbon

1 mole = 6.022x10^23 atoms

x moles = 2.04x10^23 atoms

Solve for x

x = (2.04x10^23 atoms x 1 mole)/6.022x10^23 atoms

x = 0.339 mol

Step 2: From the moles, calculate the mass of carbon

m = n x M where m is the mass, n is the moles and M is the molar mass of carbon

m = 0.339 mol x 12,011 g/mol

m = 4.069 g