At a depth of 5.00 km in the ocean, the force per unit area on seawater is 5.00 times ten to the seventh newtons per square meter, and the bulk modulus of water is 2.2 times ten to the ninth newtons per square meter. Roughly what fractional decrease in volume does this produce?

1. The fractional change in volume is given by delta V over V0 equal to (1/B)(F/A). 2. Substituting the given values, delta V over V0 equals 5.00 times ten to the seventh divided by 2.2 times ten to the ninth. 3. That division gives about 0.023, or 2.3 percent. 4. This pressure, about 500 atmospheres, still produces only a measurable but small decrease in volume, since liquids strongly resist compression. 5. 23 percent and 44 percent are off by a factor of ten or more from the correct value. _Source: OpenStax College Physics (CC BY 4.0), Ch 5 "Further Applications of Newton's Laws: Friction, Drag, and Elasticity", section 5.3 Elasticity: Stress and Strain_