2) P(V,T) = "RT (assume the number of particles/moles n is constant)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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because the internal energy is a state function, dU is said to be an eract differential. Exact
differentials have a special relationship between their partial derivatives. For any exact
differential of the form,
dz = M(x, y)dx + N(x, y)dy
(15)
the following identity between partial derivatives holds.
(). - 4),
(16)
Exercises
write down the total differential for the following functions (the independent variables are
given in parenthesis)
1) z(r, y) = xe-
2) P(V,T) = nRT (assume the number of particles/moles n is constant)
Transcribed Image Text:because the internal energy is a state function, dU is said to be an eract differential. Exact differentials have a special relationship between their partial derivatives. For any exact differential of the form, dz = M(x, y)dx + N(x, y)dy (15) the following identity between partial derivatives holds. (). - 4), (16) Exercises write down the total differential for the following functions (the independent variables are given in parenthesis) 1) z(r, y) = xe- 2) P(V,T) = nRT (assume the number of particles/moles n is constant)
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