What will be the workdone

  • Thread starter nil1996
  • Start date
In summary, work done in physics is the amount of energy transferred when a force is applied to an object and causes it to move. It is measured in joules (J) and can be negative if the force is in the opposite direction of movement. The amount of work done is affected by factors such as the magnitude of the force, distance moved, and angle between force and movement. Work done and power are related as power is the rate at which work is done.
  • #1
nil1996
301
7

Homework Statement


Workdone by the ideal gas in changing its volume is given by
W=P∫VfdV

Homework Equations


The Attempt at a Solution

My question is can we write the above equation by W=P(Vf-Vi)
Is work done dependent on the path the gas has taken to do work?

The Attempt at a Solution

 
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  • #2
nil1996 said:

Homework Statement


Workdone by the ideal gas in changing its volume is given by
W=P∫VfdV
That's for constant pressure, right?
 
  • #3
Yes workdone for constant pressure
 
  • #4
nil1996 said:
Yes workdone for constant pressure

Then W=P(Vf-Vi) is fine.
 
  • #5


Yes, the work done by an ideal gas in changing its volume can be expressed as W = P(Vf - Vi), where P is the pressure and Vf and Vi are the final and initial volumes, respectively. This is a simplified version of the integral equation W = P∫VfdV, which represents the work done by the gas as it changes volume along a specific path. The value of work done may vary depending on the path taken, as the integral takes into account the changing pressure and volume at each step of the path. However, the simplified equation can be used to calculate the work done by the gas in a specific scenario, assuming that the pressure remains constant. Therefore, while the work done may be dependent on the path taken, the simplified equation can still provide a useful estimate in certain situations.
 

1. What is work done in physics?

Work done in physics refers to the amount of energy transferred when a force is applied to an object and causes it to move in the direction of the force. It is calculated by multiplying the magnitude of the force by the distance the object moves.

2. How is work done measured?

Work done is measured in joules (J) in the International System of Units (SI). It can also be measured in other units such as foot-pounds (ft-lb) or kilowatt-hours (kWh).

3. Can work done be negative?

Yes, work done can be negative if the force applied is in the opposite direction of the movement of the object. This means that the object loses energy instead of gaining it.

4. What factors affect the amount of work done?

The amount of work done is affected by the magnitude of the force applied, the distance the object moves, and the angle between the force and the direction of movement. Additionally, factors such as friction, air resistance, and the mass of the object can also affect the amount of work done.

5. How is work done related to power?

Work done and power are related as work is the amount of energy transferred, and power is the rate at which work is done. In other words, power is the amount of work done per unit of time. The unit of power is watts (W), which is equal to one joule per second (J/s).

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