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Suppose the pressure p and the density r...

Suppose the pressure `p` and the density `rho` of air are related as `p//rho^n = const` regardless of height (`n` is a constant here). Find the corresponding temperature gradient.

Text Solution

Verified by Experts

The correct Answer is:
`-(Mg(n-1))/(nR)`
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Knowledge Check

  • It P is the pressure and rho is the density of a gas, then P and rho are realted as :

    A
    `P prop rho`
    B
    `P prop rho^(2)`
    C
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    D
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  • If the pressure, temperature and density of an ideal gas are denoted by P, T and rho , respectively, the velocity of sound in the gas is

    A
    proportional to `sqrt(P)`, when T is constant
    B
    proportional to `sqrt(T)`
    C
    proportional to `sqrt(P)`, when `rho` is constant
    D
    proportional to T.

  • A gas undergoes a process in which its pressure p and volume V are related as V_p^n = constant.The bulk modulus of the gas in this pressure is

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    C
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