Question

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

विकल्प

• `-gamma^(1//2) (Delta"V")/"V"`

• `-(Delta"V")/"V"`

• `-gamma (Delta"V")/"V"`

• `-gamma^2 (Delta"V")/"V"`

Answer 1

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"`