For this item, we assume that the gas behaves ideally such that it follows the ideal gas law and the ideal gas equation is applicable.
PV = nRT
where P is pressure, V is volume, n is number of moles, R is universal gas constant, and T is temperature. When the right-hand side of the equation is constant, there exist a relationship that,
P₁V₁ = P₂V₂
Substituting the given,
(0.410 atm)(32 L) = (P₂)(28 L)
The value of P₂ is equal to 0.4686 atm.