Given statements about thermodynamic variables: (A) Internal energy, volume V, and mass M are extensive. (B) Pressure P, temperature T and density rho are intensive. (C) Volume V, temperature T and density rho are intensive. (D) Mass M, temperature T and internal energy are extensive. The correct statements are:

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EEJ MAIN Physics QUESTION #988

Question 1

Given statements about thermodynamic variables: (A) Internal energy, volume \(V\), and mass \(M\) are extensive. (B) Pressure \(P\), temperature \(T\) and density \(\rho\) are intensive. (C) Volume \(V\), temperature \(T\) and density \(\rho\) are intensive. (D) Mass \(M\), temperature \(T\) and internal energy are extensive. The correct statements are:

(B) and (C) Only
(C) and (D) Only
(D) and (A) Only
(A) and (B) Only✔️

Correct Answer Explanation

Extensive variables scale with system size: internal energy, volume, mass — so (A) is correct. Intensive variables are independent of size: \(P\), \(T\), \(\rho\) — so (B) is correct. (C) is wrong because volume \(V\) is extensive. (D) is wrong because \(T\) is intensive.

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