Do both flasks contain the same number of atoms?

Question

If two identical sealed flasks, one containing He and one containing Ne, are at the same temperature (298 K) but the pressure of He is 1atm and the pressure of Ne is 0.5 atm, will both flasks contain the same number of atoms?

Answer 1

Subscript 1 - He

Subscript 2 - Ne

 

P₁V₁ = n₁RT₁

 

P₂V₂ = n₂RT₂

 

V₁ = V₂ = V

T₁ = T₂ = T

 

P₁V = n₁RT

P₂V = n₂RT

 

Divide top equation by bottom equation and get

 

P₁/P₂ = n₁/n₂

 

P₁/P₂ = 1/0.5 = 2 ⇒

 

n₁/n₂ = 2

 

n₁ ≠ n₂ ⇒ different number of moles of each gas, and therefore different number of atoms

 

Short answer: No