Question

an ideal otto cycle with argon as the working fluid has a compression ratio of 8. the minimum and maximum temperatures in the cycle are 540 and 2350 r. account for the variation of specific heats with temperature. the properties of argon are cp

Answer 1

The specific heat of gases can be taken roughly as a constant for differences in the order of 100⁰ C from ambient. Variation is crucial and cannot be disregarded for temperatures of more than, let's say 500 ⁰C or 1000⁰C.

1. The ideal gas constant is the difference between cp and cv for low pressures (the ideal gas).
2. The classical statistical physics principles for ideal non-interacting gases are found in any university physics primer.
3. The demonstration that pV/T = constant is typically included in texts on macroscopic thermodynamics suggests that while temperature changes depend on specific heats, the opposite is also true.
4. Real gas behavior requires a more complex explanation.
5. As a result, we employ two techniques to determine the specific heat of gases: at constant volume and constant pressure.
6. The value of the heat capacity at constant pressure is always greater than the value of the heat capacity at constant volume because the former also takes into account the value of the heat energy required to expand the substance against the constant pressure as its temperature rises.

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