For small temperature differences, the exact and approximate relations for entropy changes of ideal gases give almost identical results.
For small temperature differences, the exact and approximate relations for entropy changes of ideal gases give almost identical results.
Yes, the statement is completely true that for a very small difference in temperature there is not much difference in the exact and approximate relations for change in entropy.
The exact approach of entropy calculation takes into account the effect of temperature changes on the value of the specific heat of the ideal gases. Apart from monoatomic gases, the specific heat of all other gases does change with a change in temperature.
We know that the entropy change for an ideal gas undergoing any arbitrary thermodynamic process can be given as:
In the above equation, it can be observed that Cp is a function of temperature except for monoatomic gases. When temperature changes are large then exact analysis for the entropy calculation shows reliable results with good accuracy.
Step by step
Solved in 2 steps
