Question

Prove that in a reversible process:
∆_(system) ⁺ ∆S_{(surroundings)} = 0
Or
Prove that there is no net change in entropy in a reversible process.

Solution

Suppose heat is absorbed by the system reversible and the heat is lost by the surroundings also reversibly (process occurs under complete reversible condition).
If q_rev is the heat absorbed by the system reversibly, then the heat lost by the surroundings will also be q_rev. If the process takes place isothermally at T kelvin, then Entropy change of the system
$straight S subscript system space equals space straight q subscript rev over straight T space space space space... left parenthesis 1 right parenthesis$
Entropy change of the surroundings
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Hence the total entropy change for the combined system and surroundings will be:
$increment straight S subscript sytem space plus space increment straight S subscript surroundings space equals space straight q subscript rev over straight T space minus space straight q subscript rev over straight T space equals space 0 space space space space... left parenthesis 3 right parenthesis$
Hence in a reversible process, the net entropy change for the combined system and the surroundings is zero i.e. there is no net change in entropy.

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Thermodynamics

Prove that in a reversible process:
∆_(system) ⁺ ∆S_{(surroundings)} = 0
Or
Prove that there is no net change in entropy in a reversible process.

Some More Questions From Thermodynamics Chapter

From thermodynamic point of view, to which system the animals and plants belong?

What is a state function?

A thermodynamic state function is a quantity

What is reversible process in thermodynamics?

Define irreversible change.

Name the variable that is kept constant in isochoric process and isobaric process.

Give one difference between an isothermal and an adiabatic process.

For the process to occur under adiabatic conditions, the correct condition is

Define internal energy of a system

Define enthalpy.

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Thermodynamics

Prove that in a reversible process:∆(system) + ∆S(surroundings) = 0 OrProve that there is no net change in entropy in a reversible process.

Some More Questions From Thermodynamics Chapter

From thermodynamic point of view, to which system the animals and plants belong?

What is a state function?

A thermodynamic state function is a quantity

What is reversible process in thermodynamics?

Define irreversible change.

Name the variable that is kept constant in isochoric process and isobaric process.

Give one difference between an isothermal and an adiabatic process.

For the process to occur under adiabatic conditions, the correct condition is

Define internal energy of a system

Define enthalpy.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Prove that in a reversible process:
∆_(system) ⁺ ∆S_{(surroundings)} = 0
Or
Prove that there is no net change in entropy in a reversible process.