dW and d_q are not the exact differential, because q and Ware

ANS:B - path functions

𝑑𝑊dW and 𝑑𝑞dq are not exact differentials because 𝑞q and 𝑊W are path functions. In thermodynamics, state functions are properties whose values depend only on the current state of a system and not on how that state was reached. Examples of state functions include internal energy 𝑈U, enthalpy 𝐻H, entropy 𝑆S, and Gibbs free energy 𝐺G. State functions are exact differentials, meaning their differentials (𝑑𝑈dU, 𝑑𝐻dH, 𝑑𝑆dS, 𝑑𝐺dG) are exact and do not depend on the path taken to reach a particular state. In contrast, path functions (also known as inexact differentials) depend on the path followed during a process to determine their values. Heat (𝑞q) and work (𝑊W) are examples of path functions. The heat transferred to or from a system and the work done on or by a system depend not only on the initial and final states but also on the specific path taken between those states. As a result, 𝑑𝑞dq and 𝑑𝑊dW are not exact differentials. Therefore, the correct answer is path functions.