Question

12 g of coal contains approximately 6 × 1023 atoms of carbon.

How many atoms would be in 1 kg of carbon?
Show your working.

Answer 1

5*10^25 atoms of carbon

Step-by-step explanation:

Check from the periodic table:

M(carbon) = 12.01 g/mol

Convert kg into g:

1 kg = 1000 g

Calculate the number of moles of carbon:

n(carbon) = (1000 g) ÷ (12.01 g/mol) = 83.26 mol

Convert moles into number of particles:

#(carbon) = n × NA = 83.26 mol × 6*10^23

= 5*10^25 particles

Note: NA represents the Avogadro's Number, which has the value 6.02*10^23 particles/mol.