Derive an expression for the work done during Isothermal expansion

Solution

Work done during isothermal expansion of 1 mole of ideal gas

W = ∫ dW

v2
W = ∫ Pd V - - - - ( I )
v1

For 1 mole of gas

PV = RT

P = RT / V

Putting value of P in eqn ( I ).,

v2
W = ∫ RT / V dV
v1

v2
W = RT ∫ 1 / V dV
v1
v2
W= RT [ log e V]
v1

W = RT [ log e V2 - log e V1 ]

W = 2.303 RT log 10 V2 / V1

For constant temperature,

W = 2.303 RT log 10 P2 / P1

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Thermodynamics

Derive an expression for the work done during Isothermal expansion

Some More Questions From Thermodynamics Chapter

When a system is taken from state i to state f along the path iaf, it is found that Q = 50 cal and W = 20 cal. Along the path’ ibf Q = 36 cal. W along the path ibf is

The work of 146 kJ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7° C. The gas is

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Which of the following is incorrect regarding the first law of thermodynamics?

A system goes from A to B via two processes I and II as shown in the figure. If ∆U₁ and ∆U₂ are the changes in internal energies in the processes I and II respectively, the

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For Daily Free Study Material Join wiredfaculty

Thermodynamics

Derive an expression for the work done during Isothermal expansion

Some More Questions From Thermodynamics Chapter

When a system is taken from state i to state f along the path iaf, it is found that Q = 50 cal and W = 20 cal. Along the path’ ibf Q = 36 cal. W along the path ibf is

The work of 146 kJ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7° C. The gas is(R = 8.3 J mol−1 K−1 )

Which of the following is incorrect regarding the first law of thermodynamics?

A system goes from A to B via two processes I and II as shown in the figure. If ∆U1 and ∆U2 are the changes in internal energies in the processes I and II respectively, the

Which of the following statements is correct for any thermodynamic system?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The work of 146 kJ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7° C. The gas is

(R = 8.3 J mol⁻¹ K⁻¹ )

A system goes from A to B via two processes I and II as shown in the figure. If ∆U₁ and ∆U₂ are the changes in internal energies in the processes I and II respectively, the