GATE 2023 AE – Question 20
In a single-spool aviation turbojet engine, which of the following is the correct relationship between the total work output WT of a 2-stage axial turbine and the total work required WC by a 6-stage axial compressor, neglecting losses?
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Correct answer: (C) $W_T=W_C$
Explanation
In a **single-spool** turbojet, the compressor and the turbine are mounted on the **same shaft**. The turbine drives the compressor, so at steady operation (neglecting mechanical losses and any accessory power) the power the turbine delivers to the shaft equals the power the compressor absorbs.
$$W_T=W_C .$$
The number of stages (2 turbine stages and 6 compressor stages) only changes how the total work is divided between stages. Each turbine stage does more work than each compressor stage absorbs, but the totals match. Answer **$W_T=W_C$** (C).