Using Toussaint's formula, what is the temperature of air at a geopotential altitude of 4 km?

Correct Answer : Option (D) :   262 K

Explanation : Toussaint’s formula is given by T = 15 – 0.0065h
Where, T is the temperature in Celsius and h is the geopotential altitude in metres.
Therefore, T = 15 – 0.0065*(4000)
= – 11°C
= -11 + 273 K
= 262 K

Correct Answer : Option (A) :   Karman line

Explanation : The beginning of space is officially denoted at an altitude of 100 km which is also known as the Kármán line. After this line the aerodynamic effects are minimal. Cold gas thrusters are used to correct orientation after this line as aerodynamic control surfaces are useless.

Correct Answer : Option (D) :   390 ⁰R

Explaination : Given,
Pressure (p) = 629.66 lb/ft²
Density (ρ) = 0.9408 x 10^-3 slug/ft³
Specific gas constant (R) = 1716 lb.ft/slug.⁰R
Using equation of state,
Temperature, T = p/(ρR)
= 629.66/(0.9408*10^-3*1716)
= 390 ⁰R