A gas container was filled with 2.3 moles of nitrogen gas. If the original volume was 3.4 what would be the new volume if the container ended with 5.7 moles of
nitrogen?

V₂ =  8.43 L

Explanation:

Given data:

Initial number of moles = 2.3 mol

Initial volume = 3.4 L

Final volume = ?

Final number of moles = 5.7 mol

Solution:

According to Avogadro law,

The number of moles of gas is directly proportional to its volume. By increasing the number of moles volume also goes to increase.

Mathematical relationship:

    V₁ / n₁     =    V₂ / n₂

By putting values,

3.4 L / 2.3 mol =  V₂ / 5.7 mol

V₂ =  3.4 L× 5.7 mol / 2.3 mol

V₂ =  19.38 L.mol / 2.3 mol

V₂ =  8.43 L