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Which of the following is the correct isentropic relation between pressure and temperature?(a) \(\frac{p_1}{p_2}=(\frac{T_2}{T_1})^\frac{\gamma}{1-\gamma}\)(b) \(\frac{p_1}{p_2}=(\frac{T_2}{T_1})^\frac{\gamma-1}{\gamma}\)(c) \(\frac{p_1}{p_2}=(\frac{T_2}{T_1})^\frac{\gamma+1}{\gamma}\)(d) \(\frac{p_1}{p_2}=(\frac{T_2}{T_1})^\frac{\gamma}{\gamma-1}\)I got this question in unit test.I'm obligated to ask this question of Measurement of Airspeed topic in division Atmosphere and Air Data Measurement of Aircraft Performance

Answer»

Right option is (a) \(\frac{p_1}{p_2}=(\frac{T_2}{T_1})^\frac{\GAMMA}{1-\gamma}\)

Explanation: \(\frac{p_1}{p_2}=(\frac{T_2}{T_1})^\frac{\gamma}{1-\gamma}\)is the correct isentropic relation between pressure and TEMPERATURE where P1, p2 are PRESSURES, T1, T2 are temperatures and γ is the ratio of specific heat at constant pressure to that of specific heat at constant volume.



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