Energy from an air-gun array

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Problem

How much energy is released (approximately) by the air-gun array in Figure 7.7a when the input pressure is 2000 psi (14 MPa)? Assume that the change is adiabatic, that is, constant, where , are pressure and volume, that the final pressure is 2 atmospheres, and that the guns are far enough apart that they do not interact.

Background

An air gun consists of two chambers, both filled with air at high pressure. The two chambers are connected by a shuttle that is held in a closed position. When the restraining force is suddenly diminished the shuttle moves, allowing the air to vent into the water, creating the effect of an explosion. The energy release depends upon the change in air pressure and the volume of the chambers that discharge air into the water; the latter is usually given in cubic inches.

Solution

Energy released work done by expanding gas . For an adiabatic change, or . Thus,

We have

Since ,

Finally, J.

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