What is the temperature of air, given P= 90 kPA and the pressure is 1.0 kg(m^-3)?
Thanks!
To determine the temperature of the air, you would need to know the specific gas constant of air or the specific gas constant of a specific gas. Unfortunately, you have provided the pressure and density values, but not the specific gas constant.
The relationship between pressure, density, and temperature in gases is given by the Ideal Gas Law, which states:
P = ρRT
Where:
P = Pressure
ρ = Density
R = Specific gas constant
T = Temperature
Without knowing R, it is not possible to calculate the temperature using the information provided.
To find the temperature of air given the pressure and the density, we can use the ideal gas law equation:
P = ρRT
Where:
P = Pressure (in kPA)
ρ = Density (in kg/m^3)
R = Gas constant (in kPA·m^3/kg·K)
T = Temperature (in Kelvin)
Let's rearrange the equation to solve for T:
T = P / (ρR)
Now we can substitute the given values into the equation:
P = 90 kPA
ρ = 1.0 kg/m^3
To find the gas constant (R), we need to know the specific gas constant for air. The gas constant for air (R) is 0.287 kPa·m^3/kg·K.
Substituting the values into the equation:
T = 90 kPA / (1.0 kg/m^3 * 0.287 kPa·m^3/kg·K)
Now we can simplify the equation:
T = 90 / (1.0 * 0.287)
T ≈ 312.38 K
Therefore, the temperature of the air is approximately 312.38 Kelvin.