Which of the following graphs correctly represent the variation of β = -(dV / dp/V) with p for an ideai gas at constant temperature?

Question

Which of the following graphs correctly represent the variation of β = -(dV / dp/V) with p for an ideai gas at constant temperature? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

β =-(dV / dp/V)= compressibility of gas =(1/Bulk modulus of elasticity) and β =(1/p) under isothermal conditions Thus, β versus p graph will be a rectangular hyperbola

Q. Which of the following graphs correctly represent the variation of $β = - \frac{d V / d p}{V}$ with p for an ideai gas at constant temperature?

$β = - \frac{d V / d p}{V} =$ compressibility of gas
$= \frac{1}{B u l k m o d u l u s o f e l a s t i c i t y}$
and $β = \frac{1}{p}$ under isothermal conditions
Thus, $β$ versus p graph will be a rectangular hyperbola

Q. Which of the following graphs correctly represent the variation of β=−VdV/dp​ with p for an ideai gas at constant temperature?

β=−VdV/dp​= compressibility of gas =Bulkmodulusofelasticity1​ and β=p1​ under isothermal conditions Thus, β versus p graph will be a rectangular hyperbola

Q. Which of the following graphs correctly represent the variation of $β = - \frac{d V / d p}{V}$ with p for an ideai gas at constant temperature?

$β = - \frac{d V / d p}{V} =$ compressibility of gas
$= \frac{1}{B u l k m o d u l u s o f e l a s t i c i t y}$
and $β = \frac{1}{p}$ under isothermal conditions
Thus, $β$ versus p graph will be a rectangular hyperbola