IIT JEE , AIEEE Forum - Mathematics , Integral Calculus

jinav

THE EQUAT.4 REAL GAS AT CONSTANT TEMP. IS GIVEN BY

P=nRT/V-nb -an^2/V^2

a,b,n&r are constant .find dP/dV at constant temp.T

iitkgp_bipin

We have to find dP/dV at constant T.

P = nRT/(V-b) - an²/V²

To obtain dP/dV : differentiate both sides of this equation wrt V and keep T constant on RHS.

(dP/dV)_T = nRTd(1/(V-b))/dV - an²d(1/V²)/dV

(dP/dV)_T = -nRT/(V-b)² + 2an²/V³