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

Click For Summary
SUMMARY

The discussion focuses on calculating the initial number of gaseous molecules in a closed system with a freely moving piston, specifically under conditions of 1 atm external pressure and an internal temperature of 900 ºC. The piston has a mass of 100 g and an area of 10 cm². To determine the initial number of molecules, one must first calculate the pressure exerted by the piston, which combines the external atmospheric pressure and the weight of the piston. Additionally, the discussion addresses the initial rate of decrease in the number of gaseous molecules due to collisions with the piston surface.

PREREQUISITES
  • Understanding of the ideal gas law and molecular theory of gases
  • Basic knowledge of pressure calculations in closed systems
  • Familiarity with the concept of chemical vapor deposition technology
  • Ability to perform calculations involving temperature conversions and unit conversions
NEXT STEPS
  • Study the ideal gas law and its applications in closed systems
  • Learn about pressure calculations involving weights and areas
  • Research the principles of chemical vapor deposition and its relevance to molecular interactions
  • Explore the kinetic molecular theory and its implications for gas behavior at high temperatures
USEFUL FOR

Students in physical chemistry, researchers in gas dynamics, and professionals involved in chemical vapor deposition processes will benefit from this discussion.

tunabeast
Messages
26
Reaction score
0

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.


Homework Equations





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.
 
Last edited by a moderator:
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
15K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
467
Replies
7
Views
7K
Replies
15
Views
5K
  • · Replies 18 ·
Replies
18
Views
6K
Replies
1
Views
4K