Question

A gas cylinder is filled with 4.00 moles of oxygen gas at 300.0 k. the piston is compressed to yield a pressure of 400.0 kpa. what is the volume inside the cylinder? a 3.19 dm3 b 6.25 dm3 c 24.9 dm3 d 31.5 dm3 c

Answer 1

We can use the ideal gas law equation to find the volume of the gas.
PV = nRT
P - pressure - 400 kPa
V - volume 
n - number of moles - 4.00 mol
R - universal gas constant  - 8.314 Jmol⁻¹K⁻¹
T - temperature - 300.0 K
substituting these values in the equation
400 000 Pa x V = 4.00 mol x 8.314 Jmol⁻¹K⁻¹ x 300.0 K 
V = 24.9 dm³
Volume is 24.9 dm³