Calculate the number of oxygen atoms in the following compound:
a. 20g of CaCO3
b. 10 moles of CaCO3
Answers
Answer:
a) 3.6132*10²³ b) 1.8066*10²5
Explanation:
a) no. of O atoms
=no.of molecules*total no. of oxygen atoms
=moles*NA*total no. of oxygen atoms
=20/100*6.022*10²³*3
=1/5*6.022*10²³*3
=6.022*10²³*3/5
=18.066*10²³/5
=3.6132*10²³
b) no. of O atoms
=no.of molecules*total no. of O atoms
=moles*NA*total no. of molecules
=10*6.022*10²³*3
=6.022*3*10²³*10
=18.066*10²⁴
=1.8066*10²5
We have to calculate the number of oxygen atoms in the following compound
(a) 20g of CaCO3
(b) 10 moles of CaCO3
Solution : we see in one molecule of CaCO3 compound, three atoms of oxygen is present.
(a) 20g of CaCO3
Given weight of CaCO3 = 20g
Molecular weight of CaCO3 = 100g/mol
so, no of moles of CaCO3 = 20/100 = 0.2
so no of moles of Oxygen atom in CaCO3 = 3 × 0.2 = 0.6
no of oxygen atoms in CaCO3 = no of moles × Avogadro's number
= 0.6 × 6.022 × 10²³
= 3.6132 × 10²³
(b) 10 moles of CaCO3
so, no of moles of oxygen atoms in CaCO3 = 3 × 10 = 30 moles
no of oxygen atoms in CaCO3 = no of moles of oxygen atoms × Avogadro's number
= 30 × 6.022 × 10²³
= 180.66 × 10²³
= 1.8066 × 10²⁵