we have to first find the number of moles of Freon-12 in the sample using the ideal gas law equation
PV = nRT
n = [tex] \frac{PV}{RT} [/tex]
since the number of moles at both conditions given and at stp we can write the following formula
[tex] \frac{P1V1}{RT1} = \frac{P2V2}{RT2} [/tex]
where parameters for the given conditions are on the left side and parameters for STP conditions are on the right side of the equation
where P1 - pressure - 252.5 kPa
V1 - volume - 28.42 x 10⁻³ m³
R - universal gas constant
T1 - 331 K
STP conditions
P2 - 101 325 Pa
T2 - 273 K
substituting these values in the equation
[tex] \frac{252 500Pa*28.42*10 ^{-3}m^{3} }{R*331K} = \frac{101325 Pa*V}{R*273 K} [/tex]
V = 58.41 L
Volume at STP is 58.41 L
