A small petrol generator engine is modelled by an air-standard Otto cycle: a fixed…

PHYSICS · Multi-part · Fermi University Physics · Thermal, Statistical & Complex Systems · The laws of thermodynamics · The laws of thermodynamics

Thermal Physics, Ch Internal-combustion cycles and indicator diagrams

Problem

A small petrol generator engine is modelled by an air-standard Otto cycle: a fixed mass of air treated as an ideal gas with constant γ=1.40\gamma = 1.40, all four legs quasistatic, heat added and rejected at constant volume, friction and heat leaks removed. The compression ratio is r=V1/V2=7.0r = V_1/V_2 = 7.0, the compression starts at T1=295 KT_1 = 295\,\mathrm{K}, and the constant-volume heat input takes the gas to a peak of T3=1750 KT_3 = 1750\,\mathrm{K}. ((a)) Find the temperature T2T_2 at the end of the compression. ((b)) Find the temperature T4T_4 at the end of the expansion. ((c)) Find the efficiency of the cycle, once from the four temperatures and once from rr alone, and check that the two agree.

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