Derive the expression for the work done by the gas during isothermal expansion.

Solution

Work done by or on the system is given by,

straight W space equals space integral subscript straight V subscript 1 end subscript superscript straight V subscript 2 end superscript straight P. space dV space space space space space space space space space space space space... space left parenthesis 1 right parenthesis thin space The space ideal space gas space equation space is comma space space space space space space space space space space space space space space space space PV space equals space nRT space rightwards double arrow space space space space space space space space space space space space space straight P space equals space nRT over straight V space space space space space space... left parenthesis 2 right parenthesis space Putting space left parenthesis 2 right parenthesis space in space left parenthesis 1 right parenthesis comma space we space get space straight W space equals space integral subscript straight V subscript 1 end subscript superscript straight V subscript 2 end superscript nRT over straight V space dV space For space an space isothermal space process comma space straight t space is space constant. space therefore space space space straight W space equals space nRT space integral subscript straight V subscript 1 end subscript superscript straight V subscript 2 end superscript 1 over straight V. space dV space space space space space space space space space space space space space equals space nRT space left square bracket space Ln space left parenthesis straight V subscript 2 right parenthesis space minus space Ln left parenthesis straight V subscript 1 right parenthesis right square bracket space rightwards double arrow space space space space space space straight W subscript isothermal space equals space nRT space open square brackets Ln space straight V subscript 2 over straight V subscript 1 close square brackets

Some More Questions From Mechanical Properties of Fluids Chapter

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

For Daily Free Study Material Join wiredfaculty

Mechanical Properties Of Fluids

Derive the expression for the work done by the gas during isothermal expansion.

Some More Questions From Mechanical Properties of Fluids Chapter

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

What is the SI unit of molar specific heat?

Define heat capacity.

What are the units of heat capacity?

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

Do the gases have only one value of specific heat?

What is thermometry?

Define temperature.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction