Topic: Thermodynamics
(dp/dV)_T * (dv/dT)_P * (dT/dp)_v is equal to
- A. zero
- B. 1
- C. -1
- D. Infinity
Answer: C. -1
Explanation: For an ideal gas Pv = RT. (dP/dv)_T = -RT/v². (dv/dT)_p = R/P. (dT/dP)_v = v/R. Multiplying them all: (-RT/v²) * (R/P) * (v/R) = -RT / (Pv) = -1. This is also known as Euler's chain rule.