The density of oxygen contained in a tank is 2.0 kg/m3 when the temperature is 25 °C. Determine the gage pressure of the gas if the atmospheric pressure is 97 kPa.

57.8408 kPa

Explanation:

Data provided in the question:

Density of oxygen contained, ρ = 2.0 kg/m³

Temperature, T = 25 °C = 25 + 273 = 298 K

Atmospheric pressure = 97 kPa.

Now,

Pressure due to gas = ρRT

Here,

R is the gas constant = 259.8 J/kg. K

Thus,

Absolute Pressure due to oxygen = 2 * 259.8 * 298

= 154840.8 Pa

= 154840.8 * 10⁻³ kPa

= 154.84 kPa

Thus,

Gage pressure = Absolute Pressure - Atmospheric pressure

= 154.84 kPa - 97 kPa

= 57.8408 kPa