sshep:
First I'm going to assume that we are dealing with reciprocating compressors and that they are equipped with conventional, cast iron rings and are lubricated with common cylinder oil - like Mobil's DTE 103.
The industry started to get concerned about allowing discharge temperatures on oil-lubricated compressors to increase due to higher compression ratios being used (to economize on number of stages) long before the API got concerned and issued their recommendations. This started around the late 1950's. The basis for the concern was not the Hydrogen application, but that air compressor cylinders were exploding (since these are mostly of cast iron construction, they were literally "grenades") and killing some people. This was predominantly happening in air separation plants where high pressure air (3,000 psig) was generated as per the state of the art at that time. I know because I started in air separation plants in 1960 and saw some of these happenings. There is a lot written about this and a committe was formed by the AICHe to investigate and report yearly on Safety in Air Separation and Ammonia Plants.
When we examine the thermodynamic equations and relationships involving compression, one can see how the discharge temperature can climb exponentially due to higher compression ratios. On a more serious level, one can also investigate the carbonization and explosivity of cracked lube oil at temperatures exceeding 350 oF and the result will be a clear explanation of why explosions can occur in air compressors lubricated with oil: Oxygen in the air will combine with any cracked lights from the oil and spontaneously ignite them. One Cooper Bessemer cylinder in the Mexico City suburb of Ecatepec leveled the process building around 1965.
The high temperature effect on cylinder oil is well appreciated by me since I've had to literally scrape and dig out handfull's of coked and gummy deposits from compressor cylinders firsthand. This is not only an occurance in air compressors but has also occurred to me in Hydrogen service. I never tolerate any reciprocating compressor specification that calls for a design discharge temperature higher than 275 oF. I fully expect a recip to operate no higher than 250 oF. And I control this by the compression ratio imposed on the cylinder.
You may have a "Teflon" ring (or other material) compressor with either no lube or mini-lube. You haven't stated this. However, a high temperature will degrade your non-metallic rings as well and further complicate the entire situation if you have double-acting pistons. You are in no danger of a cylinder exploding due to lube oil breakdown in a Hydrogen application, but you will damage the cylinder and its components should the situation continue long enough due to the solid, hard carbon coke formed by the oil breaking down.
I don't understand your explanation about the k (=Cp/Cv) for Hydrogen. The k for air is the same as that for Hydrogen (1.400), but I don't know what the properties of your impure H2 are. It may not impact you very much now, but if you are operating your oil-lubed cylinders above 350 oF for sustained periods, I can attest to the tendency to form carbon deposits and possibly damage your machine(s). I find it hard to believe that a Cp/Cv value change would increase the discharge temperature significantly. I would rather suspect that the machines have a built-in compression ratio that is higher than normal; but I would need far more data to speculate further.
I hope the above helps explain your question and concern.
Art Montemayor
Spring, TX