Show that the slope of `p-V` diagram is greater for an adiabatic process as compared to an isothermal process.

STATEMENT-2: In a gas , any rapid change must be adiabatic, whereas a slow change may be adiabatic. STATEMENT-2: In a p-V diagram, the magnitude of the slope is greater for an adiabatic process than for an isothermal process.

Make p-V equation for an adiabatic process.

analysis OF adiabatic process, comparison OF isothermal and adiabatic process

Isothermal and adiabatic process are identical.

The curves A and B in the figure shown P-V graphs for an isothermal and an adiabatic process for an idea gas. The isothermal process is represented by the curve A.

Isothermal Process and Adiabatic Process.

A gas may expand either adiabatically or isothermally. A number of p-V curves are drawn for the two processes over different ranges of pressure and volume, it will be found that (i) Two adiabatic curves do not intersect (ii) two isothermal curves do not intersect (iii) an adiabatic curve and an isothermal curve may intersect. (iv) the magnitude of the slope of an adiabatic curve is greater thanthe magnitude of the slope of an isothermal curve

The ratio of slopes of P-V plots for reversible adiabatic process and reversible isothermal process of an ideal gas is equal to :