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Represent equation of an adiabatic proce...

Represent equation of an adiabatic process in terms of (i) `T` and `V` (ii) `P` and `T`.

Text Solution

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The correct Answer is:
(i) `TV^(gamma-1) =` constant (ii) `(P^(gamma-1))/(T^(gamma)) =` constant
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Knowledge Check

  • rho -T equation of a gas in adiabatic process is given by

    A
    `T^(gamma-1)rho="constant"`
    B
    `rho^(gammaT)="constant"`
    C
    `Trho^(1-gamma)="constant"`
    D
    `T^(gamma)rho^(gamma-1)="constant"`

  • For an adiabatic process the relation between V and T is given by

    A
    `TV^(gamma)=` constant
    B
    `T^(gamma)V=`constant
    C
    `TV^(1-gamma)=` constant
    D
    `TV^(gamma-1)=`constant

  • An ideal gas of adiabatic exponent gamma is expanded so that the amount of heat transferred to the gas is equal to the decrease of its internal energy. Then, the equation of the process in terms of the variables T and V is

    A
    `TV^(((gamma-1))/(2))=C`
    B
    `TV^(((gamma-2))/(2))=C`
    C
    `TV^(((gamma-1))/(4))=C`
    D
    `TV^(((gamma-2))/(4))=C`

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    During adiabatic process, pressure P and density equation is:

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