   # A vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P18.40). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P 0 . We wish to find the height h in Figure P18.40. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P , P 0 , m , A , and g . (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T . Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder. Figure P18.40 ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 19, Problem 19.64AP
Textbook Problem
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## A vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P18.40). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find the height h in Figure P18.40. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder.Figure P18.40 (a)

To determine
The analysis model which is appropriate to describe the piston.

### Explanation of Solution

Given info: The cross sectional area of the cylinder is A , the mass of the piston is m , the pressure of the gas is P , the atmospheric pressure is P0 , the height of the cylinder is h , the number

(b)

To determine

To write: The appropriate force equation for the piston.

(c)

To determine
The height of the piston above the bottom of the cylinder.

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