we first need to find the number of moles of gas at the conditions given. we have to apply ideal gas law equation to find the number of moles
PV = nRT
where
P - pressure - 97 kPa
V - volume - 0.140 x 10⁻³ m³
n - number of moles
R - universal gas constant - 8.314 Jmol⁻¹K⁻¹
T - temperature - 273 + 35 = 308 K
substituting these values in the equation
97 000 Pa x 0.140 x 10⁻³ m³ = n x 8.314 Jmol⁻¹K⁻¹ x 308 K
n = 5.30 x 10⁻³ mol
at standard pressure and temperature conditions,
1 mol of gas occupies 22.4 L
therefore 0.00530 mol - 22.4 L/mol x 0.00530 mol
the volume occupied - 0.1187 L
volume of gas at STP is 118.7 mL
