A reversible adiabatic path on a P-V diagram for an ideal gas passes through state A where P = 0.7 ×10⁵ N m⁻² and V = 0.0049 m³. The ratio of specific heat of the gas is 1.4. The slope of path at A is :
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Question

A reversible adiabatic path on a P-V diagram for an ideal gas passes through state A where P = 0.7 ×10⁵ N m⁻² and V = 0.0049 m³. The ratio of specific heat of the gas is 1.4. The slope of path at A is :

Options

G1 Physics · Accepted Answer

Apply energy conservation. Sensible heat is Q=mcΔT and phase-change heat is Q=mL. Heat lost by hotter parts equals heat gained by colder parts. Evaluating the given data/statements gives − 2.0 ×10⁷ N m⁻⁵. Therefore the correct answer is C.