What is the relation between pressure and density in an adiabatic air flow?(a) \(\frac{p_1}{p_2}\)=(\(\frac{\rho_1}{\rho_2}\))^\(\frac{1}{\gamma}\)(b) \(\frac{p_1}{p_2}\)=(\(\frac{\rho_1}{\rho_2}\))^γ(c) \(\frac{p_1}{p_2}\)=(\(\frac{\rho_1}{\rho_2}\))^γ+1(d) \(\frac{p_1}{p_2}\)=(\(\frac{\rho_1}{\rho_2}\))^γ-1This question was addressed to me during an internship interview.My question is from Measurement of Airflow Characteristics in section Atmosphere and Air Data Measurement of Aircraft Performance

What is the relation between pressure and density in an adiabatic air

1.	What is the relation between pressure and density in an adiabatic air flow?(a) \(\frac{p_1}{p_2}\)=(\(\frac{\rho_1}{\rho_2}\))^\(\frac{1}{\gamma}\)(b) \(\frac{p_1}{p_2}\)=(\(\frac{\rho_1}{\rho_2}\))^γ(c) \(\frac{p_1}{p_2}\)=(\(\frac{\rho_1}{\rho_2}\))^γ+1(d) \(\frac{p_1}{p_2}\)=(\(\frac{\rho_1}{\rho_2}\))^γ-1This question was addressed to me during an internship interview.My question is from Measurement of Airflow Characteristics in section Atmosphere and Air Data Measurement of Aircraft Performance
Answer» Correct option is (b) \(\frac{p_1}{p_2}\)=(\(\frac{\rho_1}{\rho_2}\))^γ Easiest explanation: The relation between pressure and DENSITY in an adiabatic air flow is GIVEN by \(\frac{p_1}{p_2}\)=(\(\frac{\rho_1}{\rho_2}\))^γ where p1, P2 are pressure values and ρ1, ρ2 are density values and γ is the ratio of specific heat at constant pressure to that of specific heat at constant VOLUME.

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