To calculate the volume change of 1.00 gallon of water when subjected to a pressure increase from 1.00 atm to 251 atm, the bulk modulus of water, which is 2.10 x 10^9 Pa, is essential. The bulk modulus measures a material's resistance to uniform compression, with units of pressure. By applying the formula for volume change, ΔV = -V0 * (ΔP/B), where ΔP is the change in pressure and V0 is the initial volume, the volume change can be determined. The significant pressure increase leads to a notable decrease in volume, illustrating the compressibility of water under high pressure. Understanding the relationship between pressure, volume, and bulk modulus is crucial for accurate calculations in this scenario.
