Gas Turbines

Have you given this any thought? What did you come up with?

It's the same reason that airplanes, and hot air balloons work better in dense air.

Where did you hear this? Perhaps you should ask the people who told you this.

I have heard that many people do not know of what they speak.

Learn to use a search engine. I have heard that they will set you free.

Greater density = more air = ability to inject more fuel = more MW.

Really great answer. But how more fuel will produce more MW? since speed is constant and remains constant (3000) even more fuel is injected.

More load on turbine = more torque required to turn it = more MW (even at constant speed) = more fuel.

Same reason a supercharger or turbocharger works, air density.

homework?

For same given volume, more pounds/kg put through, think higher mass flow.

Allah: All of the current fleet of gas turbines are Brayton cycle engines, and hence output is dependent on mass flow. Also consider that almost all of the energy inefficiency in this cycle is the result of expending energy from the power turbine to drive the compressor, which in the best case is 40%, and in worse cases is 66% (or perhaps even more.

Further observe that the compressor is designed to produce a certain pressure. If one is at X elevation, then the air is less dense based on the barometric equation. If in addition the air is quite hot at X elevation, the density is reduced even further. The compressor must therefore suck in a much larger volume of air to achieve a given mass flow of air (to be mixed with a constant mass of fuel). The compressor must work harder to compress the hot air than it would cool, dense air. Simple and done.