Calculate the following in 32 g of ozone [03]:
a) The number of gram - atoms of oxygen,
b) The number of atoms of oxygen.
c) The number of molecules of ozone
Answers
Answer:
512 g
Explanation:
because O3 is oxygen
Given: 32g of O₃
To Find:
a) The number of gram-atoms of oxygen
b) the number of atoms of oxygen = N
c) the number of molecules of O₃ = N'
Solution:
Formula used:
- number of gram-atoms = number of moles (n) × atomicity (number of O present in ozone molecule)
- n = given mass (m)/Molecular mass (M), where M of ozone = 3 × 16 = 48g
- Number of atoms (N) = n × Nₐ × atomicity of ozone(Nₐ = Avagadro number = 6.023 × 10²³)
- Number of molecules = n × Nₐ
Calculating the number of moles of O₃, using the above formula:
n = m/M
n = 32/48
n = 0.67 moles
a) Applying the above formula to calculate the n number of gram-atoms of oxygen
number of gram - atoms of oxygen = n × atomicity
= 0.67 × 3
= 2 gram atoms of O
b) Calculating the number of atoms of O:
N = n × Nₐ × atomicity
N = 0.67 × 6.023 × 10²³ × 3
N = 12.12 × 10²³ atoms of Oxygen
c) Applying the above formula to calculate the number of molecules of ozone - N:
N' = n × Nₐ
N' = 0.67 × 6.023 × 10²³
N' = 4.04 × 10²³ molecules of ozone (O₃)