Question

The isothermal compressibility is given as___________

(a) Same as isentropic compressibility

(b) \(\frac {1}{p}\)

(c) \(\frac {1}{\gamma p}\)

(d) \(\frac {\rho }{p}\)

This question was addressed to me in exam.

I need to ask this question from The Basic Normal Shock Equations topic in section Normal Shock Waves of Aerodynamics

Answer 1

Correct option is (b) \(\frac {1}{p}\)

The explanation is: The isothermal compressibility differs from the isentropic compressibility by a factor of gamma. The isothermal compressibility is given as τt=\(\frac {1}{p}\) while the isentropic compressibility is given as τs=\(\frac {1}{\gamma p}\).