1. Consider the van der Waals equation (1) а + v2) (Vm – b) – RT = 0 - V2 т where p, Vm, T, are, respectively, pressure, molar volume, and temperature and R, a, and b are constants. а) Find aVm ƏT ) by computing the differential of (1) at constant p. aVm b) Find ( m) by computing the differential of (1) at constant T. T ) and (m) and suitable relationships between aVm aVm c) Use the expressions for ƏT T ap partial derivatives to find ƏT Vm
1. Consider the van der Waals equation (1) а + v2) (Vm – b) – RT = 0 - V2 т where p, Vm, T, are, respectively, pressure, molar volume, and temperature and R, a, and b are constants. а) Find aVm ƏT ) by computing the differential of (1) at constant p. aVm b) Find ( m) by computing the differential of (1) at constant T. T ) and (m) and suitable relationships between aVm aVm c) Use the expressions for ƏT T ap partial derivatives to find ƏT Vm
Related questions
Question
I need help with this problem. For 1a and 1b, I want to see how to do total differential. And for 1c, I want to see -1 in the relationship between the partial derivatives.
Transcribed Image Text:1. Consider the van der Waals equation
а
(p+
v2) (Vm – b) – RT = 0
(1)
m
where p, Vm, T, are, respectively, pressure, molar volume, and temperature and R,
a, and b are constants.
a) Find (Vm by computing the differential of (1) at constant p.
ƏT
b) Find (m) by computing the differential of (1) at constant T.
T
c) Use the expressions for (m) and (m) and suitable relationships between
aVm
aVm
ƏT
partial derivatives to find (;
ƏT
Vm
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
