ISRO Mechanical & Aerospace 2010 - Question 8

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Polytropic index n is given by

  • A. $\log(p_2/p_1) / \log(v_1/v_2)$
  • B. $\log(p_1/p_2) / \log(v_1/v_2)$
  • C. $\log(v_1/v_2) / \log(p_2/p_1)$
  • D. $\log(v_2/v_1) / \log(p_2/p_1)$

Answer: A. $\log(p_2/p_1) / \log(v_1/v_2)$

Explanation: $P_1 V_1^n = P_2 V_2^n \Rightarrow (V_1/V_2)^n = P_2/P_1 \Rightarrow n \log(V_1/V_2) = \log(P_2/P_1)$.

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