Question 1 of 4 · Ideal Gas Cycles and Thermal Efficiency · Foundation · About 16 min

Compression ratio and ideal cycle performance

A simple ideal air-standard heat-engine cycle uses a volume compression ratio of $9.00$ with $\gamma=1.40$ . The gas enters the compression stage at $300\,\mathrm{K}$ . Assuming reversible adiabatic compression, determine the post-compression temperature and the ideal thermal efficiency of the constant-volume heat-addition cycle.

A compression piston reduces an ideal-gas volume before heat addition. — Schematic, not to scale unless dimensions are given.

Given

Compression ratio 9.00
Heat-capacity ratio 1.40
Initial temperature 300 K

Find

End-of-compression temperature
Ideal thermal efficiency

Assumptions

Air-standard ideal cycle; constant gamma and reversible adiabatic compression.

Independent Waypoint Mentor learning material. Not affiliated with or endorsed by any university.

Compression ratio and ideal cycle performance

Given

Find

Assumptions

Worked solution