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For an ideal gas the ratio of specific h...

For an ideal gas the ratio of specific heats is `(C_(p))/(C_(v)) = gamma`. The gas undergoes a polytropic process PV^(n) =` a constant. Find the values of n for which the temperature of the gas increases when it rejects heat to the surrounding.

Text Solution

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The correct Answer is:
`1 lt n lt gamma`
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Knowledge Check

  • The ratio of the specific heats of a gas is (C_(p))/(C_(v))=1.66 then the gas may be

    A
    `CO_(2)`
    B
    `He`
    C
    `H_(2)`
    D
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  • P-V graph for an ideal gas undergoing polytropic process PV^(m) = constant is shown here. Find the value of m.

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    `3/4`
    B
    `-3/2`
    C
    `5/3`
    D
    `3/2`

  • One mole of an ideal monoatomic gas is taken through a polytropic process P^2T = constant. The heat required to increase the temperature of the gas by DeltaT is

    A
    `R DeltaT`
    B
    `3R DeltaT`
    C
    `5RDeltaT`
    D
    `6RDeltaT`

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    Figure shows P versus V graph for various processes performed by an ideal gas. All the processes are polytropic following the process equation PV^(k) = constant. (i) Find the value of k for which the molar specific heat of the gas for the process is (C_(P)+C_(V))/(2) . Does any of the graph given in figure represent this process? (ii) Find the value of k for which the molar specific heat of the gas is C_(V) + C_(P) . Assume that gas is mono atomic. Draw approximately the P versus V graph for this process in the graph given above.

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