An ideal gas is at a state where and

PHYSICS · Multi-part · CBSE · Physics · Thermodynamics · Thermodynamics

Problem

An ideal gas is at a state where

P = 2.0\times10^{5}\,\text{Pa}

and

V = 0.010\,\text{m}^3

. Two quasistatic paths can pass through this state: (i)

PV = \text{constant}

(ii)

PV^{1.4} = \text{constant}

Answer the following: (a) Calculate the magnitude of the slope

\left|\frac{dP}{dV}\right|

for path (i) at the given state. (b) Calculate the magnitude of the slope

\left|\frac{dP}{dV}\right|

for path (ii) at the same state. (c) Which of the two paths is steeper on the

P

–

V

diagram at this point?