Well, yes, that much is obvious, but…
…this will depend entirely on how much electrical power is being dumped into the heaters, and whether the turbine can extract enough power to keep the compressor going. Not clear whether this is impossible with existing materials.
I gather you’re talking about the increase in gas volume as a result of the additional mass of combustion products, namely CO2[sub]2[/sub] and H[sub]2[/sub]O, which would not be present in an electrically-powered gas turbine engine. Interesting point, and it makes me wonder about how big a factor this is in combustion-driven gas turbine engines. I was under the impression that gas turbine engines typically operate with a lot of excess air; not referring to high-bypass turbofan aircraft engines, but rather to simple/basic gas turbine engines moving far more air through the combustion chamber than is strictly needed to support combustion. If that’s the case, then the ratio of exhaust mass flow rate to intake air flow rate might be fairly close to 1:1.
I’m curious to hear from someone who works on jet engines and knows real world values for air flow rates and fuel flow rates.