Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]PhysicsSpecific Heat Capacities of Gases

In the case of a solid possessing a small expansion coefficient,

Options

  1. AC_p = C_V
  2. BC_p is slightly less than C_V
  3. CC_p - C_V = R
  4. 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

Practice Specific Heat Capacities of Gases on Quantrex Academy →

More from Specific Heat Capacities of Gases

The ratio of molar heat capacities for an ideal gas is given as C_p / C_V = 7/6 . Find the change in internal energy of 1.0 mole of the gas when its temperature is raised by 50 K aAn ideal gas has a molar heat capacity ratio of C_p / C_V = 7/6 . Determine the change in internal energy of 1.0 mole of this gas when its temperature is raised by 50 K while keepiAs illustrated in the figure, a cylindrical container holds oxygen ( = 1.4 ) and is sealed by a 50 kg frictionless piston. The cross-sectional area is 100 cm ^2 , the atmospheric pA vessel containing one mole of a monatomic ideal gas (molecular weight = 20 g mol ⁻¹ ) travels on a floor at a speed of 50 m s ⁻¹ . The vessel is abruptly brought to rest. AssuminWhen 50 J of heat is supplied to an ideal gas, it expands from 100 cm ^3 to 200 cm ^3 at a constant pressure of 2.0 10^5 Pa . Calculate the change in internal energy of the gas.An ideal gas expands from 100 cm ^3 to 200 cm ^3 at a constant pressure of 2.0 10^5 Pa when 50 J of heat is supplied to it. Assuming the initial temperature is 300 K , calculate thAn ideal gas expands from 100 cm ^3 to 200 cm ^3 at a constant pressure of 2.0 10^5 Pa upon being supplied with 50 J of heat. Determine the number of moles in the gas if its initiaDuring a particular process, a monatomic ideal gas absorbs an amount of heat Q and performs work equal to Q/2 on its surroundings. Determine the molar heat capacity of the gas for Full Specific Heat Capacities of Gases list All Concepts Of Physics MCQ Edition [Volume 2] PYQs