Calculating Work in Ideal Gas Systems with Movable Pistons

In summary, the question asks for the amount of work done on an ideal gas with a movable piston as the temperature is raised from T1 to T2. The relevant equations are the ideal gas law, the definition of number of moles, and the formula for work. The work is done on the gas, not by the gas.
  • #1
mp1019
4
0

Homework Statement



An ideal gas is enclosed in a cylinder that has a movable piston on top. The piston has a mass m and an area A and is free to slide up and down, keeping the pressure of the gas constant. How much work is done on the gas as the temperature of n mol of the gas is raised from T1 to T2? (Use T_1 for T1, T_2 for T2, and m, A, R, and n as necessary.)

Homework Equations


n=m/M
P=F/A
PV=nRT
PV=(kB)T
W=- integral of P dV from Vf to Vi ( sorry I was not sure how to format this!)

The Attempt at a Solution


I was not sure how to go about doing this. Do I set the ideal gas law equal to volume and then plug that into work?
 
Physics news on Phys.org
  • #2
Is this work done on the gas or by the gas?
 
  • #3
It's the work that is done on the gas I believe.
 

FAQ: Calculating Work in Ideal Gas Systems with Movable Pistons

What is thermodynamics and why is it important?

Thermodynamics is a branch of physics that deals with the relationship between heat, energy, and work. It is important because it helps us understand the behavior of matter and energy, and it has numerous applications in fields such as engineering, chemistry, and biology.

What are the laws of thermodynamics?

The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or converted from one form to another. The second law states that the total entropy of an isolated system will always increase over time. The third law states that as the temperature of a system approaches absolute zero, its entropy approaches a constant minimum value.

How is thermodynamics related to heat and temperature?

Thermodynamics is concerned with the transfer of heat between systems and the resulting changes in temperature. Heat is a form of energy that is transferred from a higher temperature system to a lower temperature system, and temperature is a measure of the average kinetic energy of the particles in a system.

What is the difference between an open and closed system in thermodynamics?

An open system can exchange both matter and energy with its surroundings, while a closed system can only exchange energy. In thermodynamics, an isolated system is one that cannot exchange matter or energy with its surroundings.

How do we apply thermodynamics in real-world situations?

Thermodynamics has numerous practical applications, such as designing engines and power plants, calculating the efficiency of refrigerators and air conditioners, and understanding the behavior of chemical reactions. It also plays a crucial role in understanding weather patterns and climate change.

Similar threads

Adiabatic Expansion of Pressurized Air in a Piston-Cylinder Setup
Replies
8
Views
1K
Work done on container receiving gas from high pressure container
Replies
1
Views
878
Finding both temperature and the amount of gas added
Replies
6
Views
1K
Closed cycle of an ideal gas
Replies
3
Views
667
Open Gas Turbine - calculate T2, T3, T4, efficiency
Replies
1
Views
1K
Thermal energy problem: Gas expansion in cylinder
Replies
3
Views
2K
Ideal Gas Law and Pressure at 80°C
Replies
2
Views
2K
Find the change in entropy for an ideal gas undergoing a reversible process
Replies
3
Views
1K
Gas work -- Heating the gas in a cylinder with a weighted piston on top
Replies
13
Views
2K
Volume ratio in an adiabatic gas expansion
Replies
9
Views
2K

Hot Threads

Recent Insights

Back
Top