How Do You Calculate the Initial Number of Gaseous Molecules in a Closed System?

AI Thread Summary
To calculate the initial number of gaseous molecules in a closed system, one must first determine the pressure exerted by the piston, which includes the weight of the piston in addition to the external atmospheric pressure. Given the mass of the piston (100 g) and its area (10 cm²), the effective pressure inside the system can be derived. The temperature of 900 ºC must also be factored into the calculations using the ideal gas law. Additionally, the rate of decrease in the number of gaseous molecules due to collisions with the piston surface should be expressed as an equation, considering that molecules A stick to the piston but not to other surfaces. Understanding these principles will guide the calculation of both the initial number of molecules and the initial rate of decrease.
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Homework Statement


In a closed system shown in the Figure below (http://i18.tinypic.com/7x1r8mo.jpg"), the piston is freely moving without friction and the system is initially filled with gaseous molecules A only. The mass of a piston is 100 g, its area is 10 cm2 and it is 10 cm from the bottom in the initial state of equilibrium. The pressure outside the system is 1 atm; temperature inside the system is 900 ºC.

a) Calculate the initial number of molecules in the system;
b) Write the equation describing the initial rate of decrease in the number of gaseous
molecules if it is known that molecules A stick to the surface of the piston upon
collision with it (molecules do not stick to any other surfaces; the processes when
gaseous molecules react with a hot substrate surface are the basis of the chemical
vapour deposition technology). Obtain numerical value of the initial rate.


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The Attempt at a Solution




I'm really struggling with where to start on this. I'v been handed a large physical chemistry book and basically been left to my own devices. I understand the problem relates to molecular theory of gasses but could you please steer me in the right direction.
 
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You can start by determining the pressure exerted by the piston on the confined "Molecules A, 900 C". The external pressure is 1 atm but the piston has mass as well.
 
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