Ideal gas law states
PV = n(RT)
V is volume (L), P is pressure (atm), R is universal gas constant: 0.0821 L·atm/mol· K, n is number of moles, T is temperature in Kelvin
Here given:
[tex]\blacksquare[/tex] mass of O₂ : 100 gram
[tex]\blacksquare[/tex] moles: mass/molar mass = 100/32 = 3.125 moles
[tex]\blacksquare[/tex] 25.0 °C = (25+273.15) = 298.15 K
[tex]\blacksquare[/tex] pressure: 1.25 atm
Volume:
[tex]\boxed{\sf V=\dfrac{nRT}{P}}[/tex]
[tex]\Rightarrow \sf V=\dfrac{(3.125 \ x \ 0.0821 \ x \ 298.15 )}{1.25}[/tex]
[tex]\Rightarrow \sf V=61.195 \ L[/tex]
[tex]\Rightarrow \sf V=61.2 \ L \ \ \ (rounded \ to \ nearest \ tenth)[/tex]
Additional Explanation:
- Volume can be counted in multiple units.
In Liters: 61.2 Liters
In cubic meter: 0.061163 m³
In cubic centimeter: 61,163.5 cm³
