The new volume is 15.59L
Explanation:
Given:
Initial volume, V₁ = 4L
Initial number of moles, n₁ = 0.975 mol
Final number of moles, n₂ = 3.8 mol
New volume, V₂ = ?
According to Avogadro's law:
[tex]\frac{V_1}{n_1} = \frac{V_2}{n_2}[/tex]
Substituting the values we get:
[tex]\frac{4}{0.975} = \frac{V_2}{3.8} \\\\V_2 = \frac{3.8 X 4}{0.975} \\\\V_2 = 15.59 L[/tex]
Therefore, the new volume is 15.59L