Thermodynamic Functions and Processes – Rankers Physics

Kinetic Theory of Gases: Practice Problem & Solution

Consider the following statements: A. Work and heat are path functions in thermodynamics. B. The internal energy of a gaseous system is state function. C. For gaseous system, \(C_P\) is greater than \(C_V\). D. Work done by gas at constant volume is zero. Based on above information pick the correct option.
Only statement (A) is correct
Only statements (A), (B) and (C) are correct
Only statements (B), (C) and (A) are correct
All statements (A), (B), (C) and (D) are correct

Solution Explained:

To solve this problem, we apply the core principles of Kinetic Theory of Gases. Understanding the underlying formula is key to arriving at the correct answer below:

Work and heat depend on the path, whereas internal energy depends only on the initial and final states. For any gas, \(C_P > C_V\) due to expansion work. Since volume is constant, \(dV = 0\), so work done \(W = 0\). Hence, all statements are correct.

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