If 1 mole of a gas in a constant-volume system is heated, and both the heat flow and the gas temperature are measured as a function of time, the constant volume heat capacity can be computed from 

This equation can also be used to calculate the effective heat capacity CV,_eff of a gas that is undergoing a chemical reaction, such as nitrogen tetroxide dissociating to form nitrogen dioxide,

 

In such cases C_V,_eff can be much larger than the heat capacity of the nonreacting gas. 

a. Develop an expression for C_V,_eff for dissociating nitrogen tetroxide, and comment on the dependence of C_V,_eff on the internal energy change on chemical reaction. 

b. Compute the molar effective heat capacity C_V,_eff  as a function of temperature for nitrogen tetroxide over the temperature range of 300 to 600 K, if pure N₂O₄ is loaded into a constant-volume reactor at 300 K at a pressure of 1.013 bar.

Transcribed Image Text:

Cv - () (). V Ət V