
Interpretation:
γ for an ideal diatomic gas is to be calculated.
Concept introduction:
Heat capacity (thermal capacity) is the quantity of heat required to raise the temperature of the system from the lower limit to higher divided by the temperature difference of the system. When the mass of the system is taken as 1gram, the heat capacity is denoted as specific heat capacity. Similarly, when the mass of the system taken as 1 mole, the heat capacity is referred as molar heat capacity. Heat capacity is generally described as the symbol C. Mathematically, the heat capacity of the system between two temperature T1 and T2 can be expressed as
Intriguingly, the molar heat capacity of gaseous system is determined at constant volume and can be expressed as
The molar heat capacity of gaseous system at constant pressure can be expressed as

Answer to Problem 2.61E
The ratio of heat capacities (γ) for an ideal diatomic gas calculated as follows;
Explanation of Solution
Generally, the molar heat capacity of gaseous system is determined at constant volume and can be expressed as
This equation relates the change in internal energy with the change in temperature at constant volume. Similarly, the molar heat capacity of gaseous system at constant pressure can be expressed as;
This equation relates the change in enthalpy of a system with the change in temperature at constant pressure.
The ratio of heat capacity at constant pressure and constant volume is called as heat capacity ratio or Poisson constant.
Thus, heat capacity ratio for a diatomic gas is 1.4
Thus, γ for an ideal diatomic gas is calculated.
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Chapter 2 Solutions
EBK PHYSICAL CHEMISTRY
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