A submarine maintains an internal pressure of 101 kPa and dives 240 m down in the ocean, which

Name: Problem 73, Chapter 1: Fundamentals of Thermodynamics
Uploaded: 2022-01-29T23:12:10-08:00
Duration: 2 min 1 s
Channel: Mahnoor Khan
Description: A submarine maintains an internal pressure of 101 kPa and dives 240 m down in the ocean, which has an average density of 1030 kg / m^3. What is the pressure difference between the inside and the outside of the submarine hull?

step 1 So let's start with the given data, right? We have the height that is equal to 240 meter. And th

Question

A submarine maintains an internal pressure of $101 \mathrm{kPa}$ and dives $240 \mathrm{~m}$ down in the ocean, which has an average density of $1030 \mathrm{~kg} / \mathrm{m}^{3}$. What is the pressure difference between the inside and the outside of the submarine hull?

   A submarine maintains an internal pressure of $101 \mathrm{kPa}$ and dives $240 \mathrm{~m}$ down in the ocean, which has an average density of $1030 \mathrm{~kg} / \mathrm{m}^{3}$. What is the pressure difference between the inside and the outside of the submarine hull?

Fundamentals of Thermodynamics

Claus Borgnakke,… 8th Edition

Chapter 1, Problem 73

Instant Answer

Solved by Expert Mahnoor Khan

01/29/2022

Step 1

We have the depth of the submarine dive, $h = 240 \, \text{m}$, the density of the ocean, $\rho = 1030 \, \text{kg/m}^3$, and the internal pressure of the submarine, $P_{\text{int}} = 101 \, \text{kPa}$. Show more…

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A submarine maintains an internal pressure of $101 \mathrm{kPa}$ and dives $240 \mathrm{~m}$ down in the ocean, which has an average density of $1030 \mathrm{~kg} / \mathrm{m}^{3}$. What is the pressure difference between the inside and the outside of the submarine hull?

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Key Concepts

Hydrostatic Pressure

This is the pressure exerted by a fluid at rest due to the gravitational force acting on it. It increases linearly with depth according to the relation pressure = density × gravitational acceleration × depth.

Fluid Density

A measure of mass per unit volume, fluid density is a crucial parameter in determining how much pressure is exerted by a fluid at a given depth. Higher density results in higher hydrostatic pressure.

Depth

Depth refers to the vertical distance below the surface of a fluid. As depth increases, more fluid is above, leading to greater hydrostatic pressure due to the weight of the fluid column.

Pressure Difference

This represents the difference between two pressures, here specifically the internal pressure maintained inside a vessel and the external pressure exerted by the surrounding fluid. Understanding this concept is essential for designing structures to withstand pressure imbalances.

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