We know that standard pressure is one atmosphere, or 760 millimeters of mercury. This pressure results from the weight of gas molecules in the atmosphere. A diver entering the water is subject to both water pressure and air pressure. Because water is much denser than air, the pressure increases rapidly as the diver descends. At the depth of 34 feet in fresh water, the diver is experiencing 2 atmospheres of pressure (one from air pressure and one from the 34 feet of water). For every additional 34 feet the diver descends, he will be under an additional atmosphere of pressure.Since water pressure is proportional to depth, how many atmospheres of pressure would a diver experience at 102 feet? Why wouldn't this pressure squash the diver? Answering this second question may be easier if you think of the reason a person on land is not squashed by one atmosphere of pressure. Explain your answer in detail.

At a depth of 102 feet, the diver would experience 4 atmospheres of pressure. This is because for every 34 feet, an additional atmosphere of pressure is added. So, at 34 feet it's 2 atmospheres, at 68 feet it's 3 atmospheres, and at 102 feet it's 4 atmospheres.

The reason this pressure doesn't squash the diver is similar to why we aren't squashed by the atmospheric pressure on land. Our bodies are primarily composed of incompressible fluids, which are not easily squashed. Furthermore, our bodies have internal pressures that counteract the external pressures. When a diver descends, the pressure inside their body increases to match the external pressure, preventing them from being squashed. This is known as Boyle's law, which states that the pressure and volume of a gas have an inverse relationship when temperature is held constant.

In the case of the diver, the gas in their body (primarily in the lungs) compresses to match the external pressure, allowing them to withstand the increased pressure underwater. However, this also means that divers must be careful when ascending, as the decrease in pressure can cause the gas to expand rapidly, leading to potential injury (known as decompression sickness or "the bends").