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The paper is written clearly and the analysis is well presented. However, the result is not very surprising, taking into account of the numerous results about the Riemann solutions in one space dimension and the calculations are explicit and straightforward. My further comments about the paper are listed below.
1. The flux term in the equation for conservation of energy in non-isentropic system (1.2) seems not correct.
2. I suggest the authors explain the meaning of u£¬ p and especially e immediately after they are introduced. The internal energy e might cause confusion with the exponential symbol in various explicit formulas.
3. In the numerical test, the quantity A is chosen close to 1. If A is large, does the numerics still indicate the closeness between the isentropic and non-isentropic gas dynamic process?
4. If the authors could say something more about the general Cauchy data, it would be more attractive.
In sum, I recommend it for publication upon revision.

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