How much faster does helium escape through a porous container than ozone?
1 answer:
According to Graham's Law ," the rates of effusion or diffusion of two gases are inversely proportional to the square root of their molecular masses at given pressure and temperature".
r₁ / r₂ =
---- (1)
r₁ = Rate of effusion of He
r₂ = Rate of Effusion of O₃
M₁ = Molecular Mass of He = 4 g/mol
M₂ = Molecular Mass of O₃ = 48 g/mol
Putting values in eq. 1,
r₁ / r₂ =
r₁ / r₂ =
r₁ / r₂ = 3.46
Result:
Therefore, Helium will effuse 3.46 times more faster than Ozone.
r₁ / r₂ =
r₁ = Rate of effusion of He
r₂ = Rate of Effusion of O₃
M₁ = Molecular Mass of He = 4 g/mol
M₂ = Molecular Mass of O₃ = 48 g/mol
Putting values in eq. 1,
r₁ / r₂ =
r₁ / r₂ =
r₁ / r₂ = 3.46
Result:
Therefore, Helium will effuse 3.46 times more faster than Ozone.
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An isotope of ₂₀⁴⁰X ⇒₂₀⁴⁴X
<h3>Further explanation </h3>The elements in nature have several types of isotopes
Isotopes are atoms that have the same number of protons and a different number of neutrons.
So Isotopes are elements that have the same Atomic Number (Proton)
In the following element notation,
X = symbol of elemental atom
A = mass number
= number of protons + number of neutrons
Z = atomic number
= number of protons = number of electrons, on neutral elements
For symbol of isotope X :
₂₀X⁴⁰ : atomic number = 20, mass number = 40
A. ₄₀²⁰X : atomic number = 40, mass number = 20, neutrons=20
B. ₂₀⁴⁰X²⁺ : atomic number = 20, mass number = 40, neutrons=20
C. ₂₁⁴⁰X : atomic number = 21, mass number = 40, neutrons=19
D. ₂₀⁴⁴X : atomic number = 20, mass number = 44, neutrons=22