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Compressors must build up reservoir pressure with an engine at a fast idle (1000-1200 rpm) from 50 psi within _____ minutes.

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Final answer:

The question falls under Engineering and deals with compressor performance criteria of building up reservoir pressure, likely within the context of automotive or machinery systems. The detailed answer provides an example with Boyle's Law where the final air pressure in a hypothetical situation can be calculated.

Step-by-step explanation:

The subject of your question pertains to the field of Engineering, specifically regarding the performance of air compressors in building up reservoir pressure. Compressors used in automotive applications or heavy machinery are typically required to build up a certain pressure within a specified amount of time when the engine is at a fast idle. Although the question does not provide the specific time, industry standards or a vehicle's operator manual would often specify this information. For instance, an air brake system might need to build from 50 psi to a set pressure (often 90-120 psi) within a matter of minutes for safe operation.

As an example to illustrate principles of pressure, let's consider a theoretical scenario where a container with a piston is used to compress a gas. If we start with a pressure of 765 mm Hg inside the container which has a volume of 1.00 L, and then adjust the piston to reduce the volume to 0.500 L, we can calculate the final pressure using Boyle's Law, which states that the pressure of a gas times the volume of a gas is constant for an isothermal process (constant temperature). The final pressure in this example would be double the initial pressure, assuming the temperature remains constant, resulting in a final pressure of 1530 mm Hg.

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