We can use the ideal gas law equation, PV = nRT, where p is pressure, v is volume, n is mols, R is a gas constant (8.3145) and t is temperature.
We can rearrange the equation to solve for pressure: P = nRT/V
- We were given n = 0.055 mol
- We know the value of R (8.3145)
- We were given T in celsius which we can convert to kelvin (just add 273.15): 188 + 273.15 = 461.15
- We were given v = 0.57 L
We can now plug in all of these values: (P = 0.055 x 8.3145 x 461.15)/0.57 =369.97 Pa
We can convert to kPa, 369.97 x 10^-3 (final answer)