Statement-1: Adiabatic compressibility of an ideal gas is greater than its isothermal compressibility at the same pressure. Statement-2: Slope of adiabatic P-V graph has greater magnitude than the slo

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Statement-1: Adiabatic compressibility of an ideal gas is greater than its isothermal compressibility at the same pressure. Statement-2: Slope of adiabatic P-V graph has greater magnitude than the slope of isothermal P-V graph at the same pressure.

TestHub · Accepted Answer

Adiabatic: P V γ = const ⇒ d V d P ​ = − V γ P ​ ; isothermal: P V = const ⇒ d V d P ​ = − V P ​ . Adiabatic slope magnitude is γ times the isothermal one: S-2 true. Compressibility κ = − V 1 ​ d P d V ​ : κ a d ​ = γ P 1 ​ < κ i so ​ = P 1 ​ , so S-1 is false.

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