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For an isothermal expansion of a perfect gas, the value of PPΔPP is equal to ____________. -

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Question

For an isothermal expansion of a perfect gas, the value of `(Delta "P")/"P"` is equal to ____________.

Options

  • `-gamma^(1//2) (Delta"V")/"V"`

  • `-(Delta"V")/"V"`

  • `-gamma (Delta"V")/"V"`

  • `-gamma^2 (Delta"V")/"V"`

MCQ
Fill in the Blanks

Solution

For an isothermal expansion of a perfect gas, the value of `(Delta "P")/"P"` is equal to `-(Delta"V")/"V"`.

Explanation:

Differentiating the equation, PV = constant

`"P" Delta "V" + "V" Delta "P" = 0 Rightarrow (Delta "P")/"P" = - (Delta "V")/"V"`

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