Determine Whether or not this cycle violates the first law and if it is reversible, irreversible, or not possible.
2000kW or power are produced by taking 3000 kW of heat transfer from a 750C reservior and rejecting 1000kW of heat to a 20C reservoir.
The Attempt at a Solution
My attempt was to simply sum the heat transfer (3000-1000)kW = Q and set dU=2000kW (The energy produced, or the internal energy it gathered). I set W=0 because this is just heat transfer and there is no work being done.
So 2,000 does = 2,0000 so I'm thinking this is true. It seems a bit easy though... so im thinking something is off and I might have to incorporate the temperatures.
I said this is irreversible because it is heat transfer from a reservoir. So, once the heat is transferred, both heat sources change temperatures (The cold gets hotter and the hot gets cooler) so they are tending towards an equilibrium temperature. This can not be reversed and heat can not be sent back.