Question:

A thermodynamic system is taken from an original state to an intermediate state by the linear process shown in Fig. (11.13). 

A thermodynamic system

Its volume is then reduced to the original value from E to F by an isobaric process. Calculate the total work done by the gas from D to E to F

Updated On: Jan 26, 2024
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Solution and Explanation

Total work done by the gas from D to E to F = Area of ΔDEF 

Area of ΔDEF = \(\frac{1}{2}\,DE×EF\)

Where, 

DF = Change in pressure 

= 600 N/m2 – 300 N/m2 

= 300 N/m2 

FE = Change in volume 

= 5.0 m3 – 2.0 m3 

= 3.0 m3 

Area of ΔDEF =  \(\frac{1}{2}×300×3=450\,J\)

Therefore, the total work done by the gas from D to E to F is 450 J.

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Concepts Used:

Work

Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.

Work Formula:

W = Force × Distance

Where,

Work (W) is equal to the force (f) time the distance.

Work Equations:

W = F d Cos θ

Where,

 W = Amount of work, F = Vector of force, D = Magnitude of displacement, and θ = Angle between the vector of force and vector of displacement.

Unit of Work:

The SI unit for the work is the joule (J), and it is defined as the work done by a force of 1 Newton in moving an object for a distance of one unit meter in the direction of the force.

Work formula is used to measure the amount of work done, force, or displacement in any maths or real-life problem. It is written as in Newton meter or Nm.