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In thermodynamics, the P-V work done is ...

In thermodynamics, the `P-V` work done is given by
`w=-intdVP_("ext.")`
For a system undergoing a particular process, the work done is ,
`w=-intdV((RT)/(V-b)-(a)/(V^(2)))`
The equation is applicable to a

A

system that satisfies the van der Waals equation of state.

B

process that is reversible and isothermal

C

process that is reversible and adiabatic.

D

process that is irreversible and at constant pressure.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C

`W=-intP_("ext")dv`
From van der waal equation of state for one mole gas
`(p+(a)/(v^(2)))(v-b)=RT`
`p=((RT)/((v-b))-(a)/(v^(2)))`
For reversible process
`p_("ext")=p_("gas")`
`W=-int((RT)/((v-b))-(a)/(v^(2)))dv`
process is only not applicable for irreversible process.
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Knowledge Check

  • In an isothermal thermodynamical process, the value of work done by a system is

    A
    dependent on the path
    B
    equal to the amount of energy absorbed or ejected
    C
    equal to the area between PV curves and V-axis
    D
    all of the above
  • An ideal gas system undergoes an isothermal process, then the work done during the process is

    A
    `nRT ln ((V_(2))/(V_(1)))`
    B
    `nRT ln ((V_(1))/(V_(2)))`
    C
    `2nRT ln ((V_(2))/(V_(1)))`
    D
    `2nRT ln ((V_(1))/(V_(2)))`
  • An ideal gas system undergoes an isothermal process, then the work done during the process is

    A
    `nRTIn(V_(2))/(V_(1))`
    B
    `nRTIn(V_(1))/(V_(2))`
    C
    `2nRTIn(V_(2))/(V_(1))`
    D
    `2nRTIn(V_(1))/(V_(2))`
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