For a real gas obeying the van der Waals equation of state, which of the following mathematical rela — States of Matter and Gaseous State Chemistry Question
Question
For a real gas obeying the van der Waals equation of state, which of the following mathematical relations accurately define its critical constants ($T_c, P_c, V_c$)? (Assume '$a$' and '$b$' are the van der Waals constants, and '$R$' is the universal gas constant).
Answer: A,B,C,D
💡 Solution & Explanation
All the given equations are correct theoretical derivations for the critical parameters of a van der Waals gas. These are found by applying the condition of an inflection point on the critical isotherm where $(dP/dV)_{T_c} = 0$ and $(d^2P/dV^2)_{T_c} = 0$.
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