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The relation between internal energy U, ...

The relation between internal energy `U`, pressure `P` and volume `V` of a gas in an adiabatic process is
`U = a + bPV` where a and b are constants. What is the effective value of adiabatic constant `gamma` ?

A

`(b+1)/(b)`

B

`(b+1)/(a)`

C

`(a+1)/(b)`

D

`(a)/(a+b)`

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Knowledge Check

  • The relation between internal energy U , pressure P and volume V of a gas in an adiabatic process is U = a + bPV where a and b are constant . What is the effective value of adiabatic constant Y.

    A
    `(a)/(b)`
    B
    `(b + 1)/(b)`
    C
    `(a + 1)/(a)`
    D
    `(b)/(a)`

  • The relation between internal energy U, pressure p and volume V of a gas in an adiabatic process is U=2a+bpV where a and b are constants. What is the effective value of adiabatic constant gamma ?

    A
    `(2b+1)/(2b)`
    B
    `(b+1)/(b)`
    C
    `(b^(2)+1)/(b^(2))`
    D
    `((b+1)/(b))^(2)`

  • The relation between internal energy U, pressure P and volume V of a gas in an adiabatic process is U = a + bPV where a and b are positive constants. What is the value of gamma ?

    A
    `(a)/(b)`
    B
    `(b+1)/(b)`
    C
    `(a+1)/(a)`
    D
    `(b)/(a)`
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