Final answer:
According to Bernoulli's Principle, the total energy of a gas in a pneumatic system (including its kinetic, potential, and pressure energies) remains constant, provided no energy is added or removed. As the speed of the gas increases, its pressure decreases, and vice versa, yet the overall energy stays the same.
Step-by-step explanation:
According to Bernoulli's Principle, the total energy of a fluid (or a gas in a pneumatic system) remains constant along a streamline, provided no energy is added or removed. This is based on the conservation of energy law. Specifically, Bernoulli's Principle indicates that an increase in the speed of a fluid occurs simultaneously with a decrease in the fluid's potential energy or pressure. Therefore, the statement 'it remains constant' (option a) would be the correct answer to your question.
In an idealized case where no energy is lost due to friction or heat, Bernoulli's equation makes it clear that the total energy - comprising of kinetic energy (due to velocity), potential energy, and the energy due to pressure - remains constant. For example, in a pneumatic system with gas, as the speed (velocity) of the gas increases, its pressure decreases and vice versa, but the total energy of the system remains unchanged.
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