Which of the following physical quantities are independent from amount and path, both? — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

A physical quantity independent of amount is intensive, and independent of path is a state function. Temperature (T) is both intensive and a state function. Molar heat capacity / molar heat exchanged at constant volume (q_v,m = dU_m) and at constant pressure (q_p,m = dH_m) are both intensive (since they are molar) and state functions (since they equal changes in state functions U and H respectively). Internal energy (U) is a state function but extensive (depends on amount).