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Air from a pump at constant P_{in} =2 bar and T_{in} =300 K is used to fill a compartment, of...

Question:

Air from a pump at constant P{eq}_{in} {/eq} =2 bar and T{eq}_{in} {/eq} =300 K is used to fill a compartment, of cross-sectional area A =.1 m{eq}^{2} {/eq}, volume v{eq}_{o} {/eq}=5L, which is initially at P{eq}_{o} {/eq} =1 bar and T{eq}_{o} {/eq}=300 K. A spring with constant k= 500 kN/m provide resistance to filling and is initially not at tension or compression. The right-hand side of the system is open to the atmosphere, which is at P{eq}_{atm} {/eq} = 1bar, T{eq}_{atm} {/eq}=300 K. when the pressure in the left compartment becomes equal to P{eq}_{in} {/eq} the filling stops. How much air is transferred into the system If:

a) The process is done very slowly and the contents of the compartment are the same temperature as the environment at all times.

b) The process is done quickly so that there is essentially no heat transfer between the air in the compartment being filled and the surroundings. Air can be considered an ideal gas with C{eq}_{v} {/eq}=5R/2

Spring:

The spring is the type of elastic object that will store the mechanical energy such that it will reduce the vibration in the system and release the mechanical energy when required. The helical spring and coil spring are the most useful spring in day to day life.

Answer and Explanation:

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The mass of air if the process is done very slowly will be calculated as

{eq}m = \dfrac{{P_0 \times v_0 }}{{R \times T}} = \dfrac{{1 \times 10^5 ...

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Practice Applying Spring Constant Formulas

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Chapter 17 / Lesson 11
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In this lesson, you'll have the chance to practice using the spring constant formula. The lesson includes four problems of medium difficulty involving a variety of real-life applications.


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