We know that for an ideal gas Cp,m = Cv,m + R. %3D The general relationship for any gas can be written, for 1 mole, as Cp,m = Cy,m + (Yn") a²VmT` k (equation-1) Where Vm is the molar volume (the volume of 1 mole of the gas, V/n). a is the coefficient of volume expansion and is given by: a = where the partial derivative of V with respect to T is calculated ƏT assuming P is constant And K is the coefficient of volume expansion and is given by: k = GO where the partial derivative of V with respect to P is calculated assuming T is constant. Note the minus in the definition. Prove that equation-1 reduces to the result derived in class for an ideal gas by calculating (A²V¼T\ k

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Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.