Question

Consider the low-speed flight of an aircraft as it nears a landing. If the air pressure and temperature at the nose are 1.10 atm and 285 K, respectively, what are the density and specific volume?

Answer 1

To calculate the density and specific volume of the air near the landing of an aircraft, you can use the ideal gas law:

PV = nRT

Where:
P = pressure (in atmospheres)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L atm / mol K)
T = temperature (in Kelvin)

First, we need to find the number of moles (n). To do that, we can rearrange the ideal gas law:

n = (PV) / (RT)

Now, we can calculate n:

n = (1.10 atm) * V / (0.0821 L atm / mol K * 285 K)

Now, you would need the value of V (volume) to calculate the number of moles. Once you have the number of moles, you can calculate the density and specific volume.

Density (ρ) is given by:

ρ = n / V

Specific volume (v) is the reciprocal of density:

v = 1 / ρ

Please provide the volume (V) to proceed with the calculations.