Cylinder thermodynamic problem

In summary, a 2.0 kg metal piston with a cross sectional area of 2.0 cm2 is fitted into a cylinder containing water and steam at constant temperature. Due to heat flowing out of the cylinder through the walls, the piston falls slowly at a rate of 0.30 cm/s. This causes some steam to condense in the chamber, with a density of 6.0x10^-4 g/cm3. The atmospheric pressure is 1.0 atm. The questions to be answered are the rate of condensation of steam, the rate of heat leaving the chamber, and the rate of change of internal energy of the steam and water inside the chamber. The relationship between pressure, volume, and temperature,
  • #1
jdbp2
2
0

Homework Statement



A cylinder has a well fitted 2.0 kg metal piston whoe cross sectional area is 2.0 cm2 The cylinder contains water and steam at constant temperature. The piston is observed to fall slwoly at a rate of 0.30 cm/s because heat flows out of the cylinder through the cylinder walls. As this appehns some steam condenses in the chamber. The density of the steam inside the chamber is 6.0x10-4 g/cm3 and the atmospheric pressure is 1.0 atm Calculate the rate of condensation of steam? At what rate is heat leaving the chamber? What is the rate of change of internal energy of the steam and water inside the chamber?



Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
  • #2
jdbp2,

First question:

Why is the piston falling?
 
  • #3
I have no idea why the piston is falling. I am guessing it has to do with the change in volume in the cylinder from the condensation.
 
  • #4
it says in the question because "heat flows out..." 2 questions: how are pressure, volume and temperature related. When water condenses is heat gained or lost? How much? See if you can find some eqns which you may already know, and post them in the relevant eqns section.
 

1. What is a cylinder thermodynamic problem?

A cylinder thermodynamic problem refers to a scenario where a gas is enclosed in a cylinder with a movable piston, and we need to analyze the changes in the gas's temperature, pressure, and volume as the piston moves.

2. What is the ideal gas law and how is it used in cylinder thermodynamic problems?

The ideal gas law is a fundamental equation in thermodynamics that relates the pressure, volume, temperature, and number of moles of an ideal gas. It is often used in cylinder thermodynamic problems to calculate the unknown variables or to verify the accuracy of experimental data.

3. What are the assumptions made in solving a cylinder thermodynamic problem?

The assumptions commonly made in solving a cylinder thermodynamic problem include the gas being an ideal gas, the process being isothermal (constant temperature), isobaric (constant pressure), or isochoric (constant volume), and the absence of any heat transfer or work done by friction.

4. How do we determine the final state of the gas in a cylinder thermodynamic problem?

The final state of the gas in a cylinder thermodynamic problem can be determined by applying the First Law of Thermodynamics, which states that the change in internal energy is equal to the heat added to the system minus the work done by the system. This information, along with the ideal gas law, can be used to solve for the final state variables.

5. How can we improve the efficiency of a cylinder thermodynamic system?

To improve the efficiency of a cylinder thermodynamic system, we can use various methods such as increasing the initial temperature or pressure of the gas, decreasing the heat loss from the system, using a better insulating material for the cylinder, or minimizing the friction between the piston and cylinder walls.

Similar threads

  • Introductory Physics Homework Help
Replies
8
Views
745
  • Introductory Physics Homework Help
Replies
18
Views
974
  • Introductory Physics Homework Help
2
Replies
44
Views
4K
  • Mechanical Engineering
Replies
1
Views
72
  • Introductory Physics Homework Help
Replies
1
Views
897
  • Introductory Physics Homework Help
Replies
4
Views
4K
  • Materials and Chemical Engineering
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
3K
  • Introductory Physics Homework Help
Replies
8
Views
3K
Back
Top