### Work Done in Pumping Liquid from a Hemispherical TankA hemispherical tank with a radius of 1 meter is filled with Diet Double Dew, which has a weight of 99 grams per cubic meter. Here is a cross-section of the tank:![Graph of Hemispherical Tank]The cross-section of the tank shows a semicircle with a radius of 1 meter. The semicircle extends from \( x = -1 \) to \( x = 1 \) on the horizontal axis and from \( y = 0 \) to \( y = 1 \) on the vertical axis, where \( y \) represents the height from the bottom of the tank.The diagram includes:- A vertical axis pointing upwards, labeled with the height \(1\).- A horizontal axis with endpoints labeled \(-1\) and \(1\).### Problem StatementCalculate the amount of work needed to pump all of the Diet Double Dew to a height 2 meters above the tank.To solve this problem:1. Determine the volume element \( dV \) in the tank.2. Find the distance each volume element needs to be lifted.3. Integrate the work required for each volume element over the entire volume of the tank.Given:- Radius \( r = 1 \, \text{meter} \)- Weight density \( \rho = 99 \, \text{grams per cubic meter} \)Total work done (W) is calculated using the principles of calculus and physics for fluid dynamics.

Given: The radius of the tank, r=1 m The density of the liquid, The height to which the water is…

A hemispherical tank with a radius of 1 meter is filled will Diet Double Dew, which has a weight of 99 grams per cubic meter. Here is a cross section of the tank: 1 How much work is done in pumping all of the Dict Double Dew to 2 meters above the tank?

A hemispherical tank with a radius of 1 meter is filled will Diet Double Dew, which has a weight of 99 grams per cubic meter. Here is a cross section of the tank: 1 How much work is done in pumping all of the Dict Double Dew to 2 meters above the tank?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: T balance for all please find the mass balance aud enery Cases, assuming that the Level of the…

A: Blending process: The mass balance for the blending system, ρ is density, V is liquid holder which…

Q: A soap bubble of radius r is blown up to form a bubble of radius 2r under isothermal conditions. If…

A: Given the surface tension of soap bubble as T, the energy associated with it is given by…

Q: If a piston moves a distance dx, what is dW, the work done by the gas?

A: The objective of the question is to find the infinitesimal work done (dW) by the gas when a piston…

Q: If you asked to reduce the specific fuel consumption of a turbojet -8 engine by improving the…

Q: How much work (in J) is required to expand the volume of a pump from 0.0 L to 1.5 L against an…

Q: As an ideal gas expands at constant pressure from a volume of 0.74 m³ to a volume of 2.3 m³ it does…

A: Throughout the procedure, we must ascertain the gas's pressure.

Q: (a) Determine the work done on a fluid that expands from I to f as indicated in Figure to the right.…

A: A pressure vs volume graph.Note:Find:(a) Work-done on fluid that expands from to (b) Work-done on…

Q: Determine the NPSH availalbe when a pump draws gasoline at 30°C (sg-0.65) from an underground tank…

A: To determine the NPSH (Net Positive Suction Head) available, we need to use the following formula:…

Q: Gas in a container is at a pressure of 1.50 atm and avolume of 4.00 m3. What is the work done by the…

A: The work done by the gas is given by the equation, W=F∆x where, F is the force ∆x s displacement…

Q: A certain heat engine does 11.0 k) of work and 8.50 k) heat transfer occurs to the environment in a…

A: Part A. Work done by an engine is given as follows: W=Q1-Q2 here W is the work done Q1 and Q2 are…

Q: While the pressure remains constant at 689.5 kPa the volume of a system of air changes from 0.567 m³…

Q: A heat engine operates between a reservoir at 28°C and one at 439°C. What is the maximum efficiency…

A: Tcold = 28 Degree Celsius = 28 + 273 = 301 K Thot = 439 degree celsius = 439 + 273 = 712 K

Q: Show detailed work Don't use Artificial intelligence tools. Chatgpt answer will get unhelpful…

A: Step 1: To determine the heat exchange with the surroundings during the compression process, we can…

Q: A pump is responsible for raising a fluid from the ground level to a point that is 15 m above, for…

A: work done W=4500W Flow rate Q=550 kg/h =0.153kg/s given no change in kinetic energy ∆KE=0 height h…

Q: At the inlet to a certain nozzle, the enthalpy of the gas is 3000 kJ/kg and velocity is negligible.…

A: At inlet of nozzle : h1=3000 kJ/kg, C1=0 Negligible velocity At exit of nozzle : h2=2762…

Q: 1. (a) Calculate the net work output of a heat engine following path ABCDA in the figure below.…

Q: For the PV diagram below, find the net work done on the gas during the process indicated by the…

Q: In a reciprocating air compressor, high pressure air in the cylinder pushes the piston against the…

Q: A mixture of helium and neon gas is expanded from a volume of 77.0L to a volume of 87.0L, while the…

Q: (a) (b) (c) In the diagram shown above, the points on the PV diagram have the following values:…

Q: A certain heat engine does 9.2 kJ of work and 8.5 kJ of heat is transfered to the environment in a…

A: Thus the net work done by the system equals the net heat transfer into the system, or W=Q1−Q2…

Q: A refrigerator is rated at 370 Watt. What is the maximum amount of heat it can remove in 1 min if…

Q: One mole of an ideal gas is heated slowly so that it triples its volume and pressure, in such a way…

Q: Steam to drive an old-fashioned steam locomotive is supplied at a constant gauge pressure of (about…

A: Here, process is carried out at constant pressure this means the process is isobaric calculate work…

Q: Two bubbles have radii in proportion 4:6. Compare the work done in blowing them.

Q: What amount of gasoline (ρρρρ= 680 kg/m3) is needed to fill a 412 cm in diameter spherical tank that…

Q: A power plant produces 1 GW of electricity, at an efficiency of 40% (typical of today's coal-fired…

A: The efficiency of the heat engine is the ratio of benefit to the cost. Here, is the work produced…

Q: A rubberized sphere contains carbon dioxide. If the initial radius of the sphere is 15cm: a. How…

A: (a) Let Vi be the initial volume of the sphere. The final volume of the sphere is Vf=5Vi.

Q: Fuel cell systems are regarded as a promising solution for future electrical energy generation…

A: Given: The mass of hydrogen gas is 0.9 kg. The initial pressure of the gas is 15 bar.…

Q: 3. Air is compressed slowly and frictionlessly in a cylinder according to the relationship…

Q: he has a dpc μm, tream that has the following Particle size % mass in that size -μm 10.0% - um 20.0%…

A: Given: The Diameter of the cyclone is 5 μm Size of the particle range (μm) Mass percentage…

Q: 58.'A gas cylinder system similar to that described in this sectio has a volume of 1.80 X 10-3 m³ at…

A: Given: The intial volume and pressure is 1.8x10-3 m3 and 1.01x105 Pa. The final volume and pressure…

Q: Consider the following figure. (The x axis is marked in increments of 1 m³.) P (Pa) 6 x 10⁰ 4 X 10 2…

Q: Which of the following is the Carnot Efficiency A)Work Output / Work Input B) (Thot – Tcold) /…

A: Required: The efficiency of the Carnot heat engine

Q: An ideal gas undergoes isothermal expansion that doubles the volume. What happens with the pressure?

Q: (a) (b) () In the diagram shown above, the points on the PV diagram have the following values: point…

A: Answer..

Question

### Work Done in Pumping Liquid from a Hemispherical Tank

A hemispherical tank with a radius of 1 meter is filled with Diet Double Dew, which has a weight of 99 grams per cubic meter. Here is a cross-section of the tank:

![Graph of Hemispherical Tank]

The cross-section of the tank shows a semicircle with a radius of 1 meter. The semicircle extends from \( x = -1 \) to \( x = 1 \) on the horizontal axis and from \( y = 0 \) to \( y = 1 \) on the vertical axis, where \( y \) represents the height from the bottom of the tank.

The diagram includes:
- A vertical axis pointing upwards, labeled with the height \(1\).
- A horizontal axis with endpoints labeled \(-1\) and \(1\).

### Problem Statement
Calculate the amount of work needed to pump all of the Diet Double Dew to a height 2 meters above the tank.

To solve this problem:
1. Determine the volume element \( dV \) in the tank.
2. Find the distance each volume element needs to be lifted.
3. Integrate the work required for each volume element over the entire volume of the tank.

Given:
- Radius \( r = 1 \, \text{meter} \)
- Weight density \( \rho = 99 \, \text{grams per cubic meter} \)

Total work done (W) is calculated using the principles of calculus and physics for fluid dynamics.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Does a gas do any work when it expands adiabatically? If so, what is the source of the energy needed to do this work?
Deduce the expression for the work done during an adiabatic process.
Each cylinder in a four-cylinder car engine has a bore diameter of 32 mm and the stroke for each piston is 105 mm. Calculate the cubic capacity of the engine in cm3 ; and calculate the clearance volume per cylinder for a compression ratio, r, of 5.25.
A heat engine operates between a reservoir at 30°C and one at 422°C. What is the maximum efficiency possible for this engine?
Would you be willing to financially back an inventor who is marketing a device that she claims has 25 kJ of heat transfer at 600o K, has heat transfer to the environment at 300o K, and does 12 kJ of work? Explain your answer.
Find the work done by an ideal gas as it expands from point i to point j along the path shown in the figure.
A heat engine operates between a reservoir at 28°C and one at 350°C. What is the maximum efficiency possible for this engine? Need Help? Read It
14. Pressure P, volume Vand temperature T for a certain gas are related by P - T-BT". Where a and bare constants. Find the work done by the gas if the temperature changes from 7, to T, while the pressure remains the constant.
In a thermodynamic system, the expression for workdone at constant pressure and volume change is given by what?
A heat engine operates between a reservoir at 27°C and one at 374°C. What is the maximum efficiency possible for this engine?
Needs Complete typed solution with 100 % accuracy.