Answer:
[tex]0.26\text{ mol}[/tex]Explanation:
Here, we want to get the number of moles of oxygen that will occupy the given volume
To calculate that, we are going to use the ideal gas equation
Mathematically:
[tex]\begin{gathered} PV\text{ = nRT} \\ n\text{ = }\frac{PV}{RT} \end{gathered}[/tex]where:
V is the volume which is given as 2.54L
P is the pressure which is given as 2.56 atm
n is the number of moles that we want to calculate
T is the temperature which we would convert to Kelvin by adding 273 (273 + 28 = 301 K)
R is the molar gas constant which is 0.0821 L.atm/mol.K
Substituting the values, we have it that:
[tex]n\text{ = }\frac{2.56\times2.54}{301\times0.0821}\text{ = 0.26 mol}[/tex]