Question

The pressure and temperature are ________

(a) directly proportional to each other

(b) inversely proportional to each other

(c) equal

(d) independent of each other

The question was asked by my college director while I was bunking the class.

Origin of the question is Pressure Coefficient topic in section Inviscid & Incompressible Flow of Aerodynamics

Answer 1

Correct option is (a) directly proportional to each other

To explain: Gay-Lussac’s law states the relationship between temperature and pressure. They are directly proportional to each other. Increase in temperature increases the pressure and vice versa. When the temperature increases, the gas molecules move faster and hence the pressure increases.