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A thermodynamic system is taken through the cycle abcda. The work done by the gas along the path bc is :
(diagram mention in the video )

(1) Zero (2) 30 J (3) –90 J (4) –60 J

Question explanation-

The question is asking about the work done by the gas along the path bc.
The process bc is an isobaric process, meaning the pressure remains constant.
Work done in an isobaric process is given by W = PΔV, where P is the pressure and ΔV is the change in volume.

Solution:

The work done by the gas along the path bc is zero.

Isochoric Process:

The path bc is a vertical line on the P-V diagram, indicating that the volume remains constant while the pressure changes. This is known as an isochoric process.

Work Done:
The work done by a gas is given by the formula W = PΔV, where P is the pressure and ΔV is the change in volume. Since the volume doesn't change along the path bc (ΔV = 0), the work done is zero.

Some important points:

Thermodynamics: The study of energy transformations involving heat and work.

Thermodynamic System: The specific part of the universe being studied.

Thermodynamic Cycle: A series of processes that returns the system to its initial state.

Work Done: The energy transferred by a force acting through a distance.

###Work done in a thermodynamic process### Work done by a gas is equal to the area under the curve on a P-V diagram.

Pressure-Volume Diagram: A graphical representation of a thermodynamic process, with pressure on the y-axis and volume on the x-axis.

Isobaric Process: A process occurring at constant pressure.

Isochoric Process: A process occurring at constant volume.

Isothermal Process: A process occurring at constant temperature.

Adiabatic Process: A process occurring without heat exchange.

Path Function: A quantity that depends on the path taken between two states.

State Function: A quantity that depends only on the initial and final states of the system.

Internal Energy: The total energy of the particles in a system.

Enthalpy: A thermodynamic potential representing the total heat content of a system.

Entropy: A measure of the disorder or randomness of a system.

First Law of Thermodynamics: The change in internal energy of a system is equal to the heat added to the system minus the work done by the system.
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