A cylinder that has a 44.5-cm radius and is 50.0 cm deep is filled with air at 14.5°C and 1.00 atm shown in figure (a). A 16.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height hi as shown in figure (b). Finally, a 21.0-kg dog stands on the piston, further compressing the air, which remains at 14.5°C as shown in figure (c).(a) How far down (Δh) does the piston move when the dog steps onto it?(b) To what temperature should the gas be warmed to raise the piston and the dog back to hi? ### Illustration of Hydrostatic Pressure ConceptsThe image consists of three diagrams labeled as a, b, and c, each illustrating a different stage of a conceptual experiment related to hydrostatic pressure.#### Diagram a:- Shows an empty vertical container with a height indicated as 50.0 cm.#### Diagram b:- Displays the same container now filled with a liquid. The height of the liquid is marked as \( h_i \).#### Diagram c:- The liquid-filled container is now covered with a movable piston-like surface.- A dog is standing on top of this surface.- The height of the liquid plus the displacement due to the dog's weight is shown as \( \Delta h \).These diagrams are used to demonstrate the effect of additional weight on the pressure and level of liquid within a closed system.

Given data: Radius of the cylinder is, r= 44.5 cm=0.445 m height of the cylinder is, h0= 50 cm…

Answered: A cylinder that has a 44.5-cm radius…

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)...

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A cylinder that has a 44.5-cm radius and is 50.0 cm deep is filled with air at 14.5°C and 1.00 atm shown in figure (a). A 16.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height h_i as shown in figure (b). Finally, a 21.0-kg dog stands on the piston, further compressing the air, which remains at 14.5°C as shown in figure (c).

(a) How far down (Δh) does the piston move when the dog steps onto it?

(b) To what temperature should the gas be warmed to raise the piston and the dog back to h_i?

### Illustration of Hydrostatic Pressure Concepts

The image consists of three diagrams labeled as a, b, and c, each illustrating a different stage of a conceptual experiment related to hydrostatic pressure.

#### Diagram a:
- Shows an empty vertical container with a height indicated as 50.0 cm.

#### Diagram b:
- Displays the same container now filled with a liquid. The height of the liquid is marked as \( h_i \).

#### Diagram c:
- The liquid-filled container is now covered with a movable piston-like surface.
- A dog is standing on top of this surface.
- The height of the liquid plus the displacement due to the dog's weight is shown as \( \Delta h \).

These diagrams are used to demonstrate the effect of additional weight on the pressure and level of liquid within a closed system.

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