Question

using the van der waals equation, find an expression for the derivative:partial (dh/dT)constant s in terms of a, b, Cp, R, v and T.

Answer 1

To find the expression for the partial derivative (dh/dT) constant S using the Van der Waals equation, we need to differentiate the equation with respect to T, treating S as a constant.

Step-by-step explanation:

To find the expression for the partial derivative ∅(dh/dT) constant S using the Van der Waals equation, we first need to understand the equation itself. The Van der Waals equation is given by:

(P + a/v^2)(v - b) = RT,

where P is the pressure, v is the molar volume, a and b are the Van der Waals constants, R is the universal gas constant, and T is the temperature in Kelvin.

To find the expression for the partial derivative ∅(dh/dT) constant S, we need to differentiate the Van der Waals equation with respect to T, treating S as a constant:

∅(dh/dT) constant S = ∅((P + a/v^2)(v - b))/∅T.

Now, we can simplify and expand the equation to find the derivative.