A free-diver's lung capacity is 5.66 L at sea-level where the atmospheric pressure is 760torr.  When she dives to the record-setting depth of 531ft below the surface, the pressure increases to 13004 torr.  What is the size of her lungs (in liters) at this depth.  (she's warm-blodded so assume the temperature of the air in her lungs remains unchaged at 37°C.   Express your answer to three decimal places

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Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.