Concepts Of Physics MCQ Edition [Volume 2]PhysicsSpecific Heat Capacities of Gases
In the case of a solid possessing a small expansion coefficient,
Options
- AC_p = C_V
- BC_p is slightly less than C_V
- CC_p - C_V = R
- DC_p is slightly greater than C_V
Correct answer
D. C_p is slightly greater than C_V
Step-by-step solution
The general thermodynamic relation between the molar heat capacities at constant pressure ( C_p ) and constant volume ( C_V ) is given by: C_p - C_V = T V ^2 where T is the absolute temperature, V is the molar volume, is the coefficient of volume expansion, and is the isothermal compressibility. For any substance, T , V , and are positive quantities. Since the term ^2 is always positive, it follows that C_p - C_V > 0 , meaning C_p > C_V . For a solid with a small expansion coefficient ( ), the term ^2 is very small