Question

If gas in a cylinder is maintained at a constant temperature T, the pressure P is related to the volume V by a formula of the form P = ((nRT)/(V-nb))-((an^2)/(V^2)), in which a, b, n, and R are constants. Find dP/dV. ...?

Answer 1

The derivatife is zero, but your differentiating with respect to V so just treat the constants as numbers and differentiate accordingly


d(nRT/(V-nb))dV = -nRT/ (V-nb)^2

and

d (-an^2/V^2) dV = 2an^2/V^3

Hope this helps