ThermodynamicsHard

Question

If all degree of freedom of a three- dimensional N-atomic gaseous molecules is excited, then CP/CV ratio of gas should be

Options

A.1.33
B.$1 + \frac{1}{3N - 3}$
C.$1 + \frac{1}{N}$
D.$1 + \frac{1}{3N - 2}$

Solution

$C_{V,m} = 3 \times \frac{1}{2}R + 3 \times \frac{1}{2}R + (3N - 6) \times R = (3N - 3)R$

$\therefore\gamma = \frac{C_{P}}{C_{V}} = 1 + \frac{R}{C_{V,m}} = 1 + \frac{1}{3N - 3}$

Create a free account to view solution

View Solution Free
Topic: Thermodynamics·Practice all Thermodynamics questions

More Thermodynamics Questions

A schematic plot of In Keq versus inverse of temperature for a reaction is shown below The reaction must be...2 moles of an ideal monoatomic gas undergoes reversible expansion from (4 L, 400 K) to 8 L such that TV2 = constant. The...If all the following gases are in monoatomic form, then which of the following has greater entropy?...For a spontaneous process, entropy:...For a system in equilibrium, ΔG = 0 under conditions of constant...