Question

The relation between the slope of isothermal curve and slope of adiabatic curve

• A. Slope of adiabatic curve = $\gamma$ times slope of isothermal curve
• B. Slope of isothermal curve = $\gamma$ times slope of adiabatic curve
• C. Slope of adiabatic curve = $\gamma$2 times slope of isothermal curve
• D. Slope of isothermal curve = $\gamma$ 2 times slope of adiabatic curve

Answer 1

Answer: (A)

Slope of adiabatic curve = $\gamma$ times slope of isothermal curve

Answer 2

: For isothermal process,

PV= constant

Differentiating both side

$p d V + V d p = 0 \quad$ or $\frac { d P } { d V } = \frac { - p } { V }$ …… (i)

Again for adiabatic process

$P V ^ { \gamma } =$ Cons $\tan t$

Again differentiating both side

Or $\frac { d P } { d V } = - \frac { P } { V } \times \gamma$

$\gamma \times$slope isothermal curve