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Which of the following graphs correctly represents the variation of $β = - \frac{(\frac{dV}{dP})}{V}$ with P for an ideal gas at constant temperature?

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detailed solution

Correct option is A

For an isothermal process PV = constant⇒ PdV + VdP = 0 ⇒ -1V(dVdP) = 1PSo, β = 1P ∴ Graph will be rectangular hyperbola

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Which of the following graphs correctly represents the variation of β = -(dVdP)V with P for an ideal gas at constant temperature?

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Which of the following graphs correctly represents the variation of $β = - \frac{(\frac{dV}{dP})}{V}$ with P for an ideal gas at constant temperature?