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The ideal gas equation for an adiabatic ...

The ideal gas equation for an adiabatic process is

A

`PV^(gamma)`=constant

B

`TV^(gamma+1)`=constant

C

`P^(gamma-1)`=constant

D

`P^(gamma+1)`T=constant

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The work done by 1 mole of ideal gas during an adiabatic process is (are ) given by :

    A
    `W=C_(v)(T_(f)-T_(i))`
    B
    `W=(P_(f)V_(f))/(gamma-1)[1+(P_(f))/(P_(i))]^(gamma-1)`
    C
    `W=(P_(f)V_(f))/(gamma-1)[1-((P_(i))/(P_(f)))^((gamma-1)/(gamma))]`
    D
    `W=(P_(f)V_(f)-P_(i)V_(i))/(gamma-1)`
  • Molar specific heat at constant volume for an ideal gas is given by C_(v)=a+bT (a and b are constant), T is temperature in Kelvin, then equation for adiabatic process is ( R is universal gas constant)

    A
    `T^(a)e^(bT)V^(R)`=constant
    B
    `T^(R)e^(bT)V^(R)`=constant
    C
    `T^(b)e^(aT)V^(R)`=constant
    D
    `T^(a)e^(R)V^(bT)`=constant
  • 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"`
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    A : The specific heat of an ideal gas is zero in an adiabatic process. R : Specific heat of a gas is process independent.

    Which equation is correct for adiabatic process ?