The approximate depth of an ocean is 2700 ~m . The compressibility of water is 45.4 10⁻¹¹ ~Pa ⁻¹ and density of water is 10³ ~kg / m ³ . What fractional compression of water will be obtained at the bottom of the ocean?

Step-by-step solution

Compressibility of water, K =45.4 10⁻¹¹ ~Pa ⁻¹ density of water P =10³ ~kg / m ³ depth of ocean, h =2700 ~m We have to find V V =? As we know, compressibility, K = 1 ~B = ( V / V ) P ( P = Pgh ) So, ( V / V )= KPgh =45.4 10⁻¹¹ 10³ 10 2700=1.2258 10⁻²