Show that dg = -sdT + vdp is equivalent to dg = v(dp/dv)dv + (v(dp/dt)-s)dt gibbs...

Show that dg = -sdT + vdp is equivalent to dg = v(dp/dv)dv + (v(dp/dt)-s)dt gibbs energy equation

Expert Solution

Given that dG = -sdt + vdp

dG = vdp - sdt

dG = (dG/dv) dv + (dG/dt) dt

= [(vdp - sdt) /dv]dv + [(vdp - sdt) /dt] dt

= v (dp/dv)dv - s (dt/dv) dv + v (dp/dt)dt - sdt

= v (dp/dv)dv - 0 + v (dp/dt)dt - sdt

= v (dp/dv)dv + v (dp/dt)dt - sdt

= v(dp/dv)dv + [ v(dp/dt)-s] dt

Therefore,

dG = v(dp/dv)dv + [ v(dp/dt)-s] dt

queen_honey_blossom answered 1 year ago

dG = (dG/dT)dt + (dG/dT)dp + (dG/dY)dY What is the change in Gibbs free energy with...

dG = (dG/dT)dt + (dG/dT)dp + (dG/dY)dY What is the change in Gibbs free energy with changes in: temperature, pressure, or Y equal to in a Microscopic process? Macroscopic process?

A. Show that the ideal gases following PV=nRT satisfy (dp/dv)(dv/dt)(dt/dp)=-1. B. Show that van see waals...

A. Show that the ideal gases following PV=nRT satisfy (dp/dv)(dv/dt)(dt/dp)=-1. B. Show that van see waals fluids following P=(RT/V-b) - a/V^2 satisfy (dp/dv)(dv/dt)(dt/dp)=-1. C. Use the fundamental relation, dH=TdS + VdP and Maxwell equations to show that (dH^ig/dV) = 0, which means that enthrall of ideal gases us independent of volume.

Using the equation below answer the following: dq = (3nR/2)dT + (nRT/V)dV a. Write the abstract...

Using the equation below answer the following: dq = (3nR/2)dT + (nRT/V)dV a. Write the abstract form of this total differential. b. The way it is written, q is a function of ____ and ______. c. Detetermine whether the differential is exact. d. Determine whether q is a state function.

Show how the ratios of the simulated spherical S to the experimental S is equivalent to...

Show how the ratios of the simulated spherical S to the experimental S is equivalent to f/f0, and calculate this value. What does this suggest about the structure of the nuclesomal array in the saltfree buffer?

what is the code to solve and graph the following function in matlab dv/dt=80.5(1-e^(.4t))

Let S be a subset of a vector space V . Show that span(S) = span(span(S))....

Let S be a subset of a vector space V . Show that span(S) = span(span(S)). Show that span(S) is the unique smallest linear subspace of V containing S as a subset, and that it is the intersection of all subspaces of V that contain S as a subset.

Show that Cp = T(∂S/∂T)p and Cv = T(∂S/∂T)V

Let a logistic curve be given by dP/dt = 0.02P(50-P) with the initial condition P(0)=5 This...

Let a logistic curve be given by dP/dt = 0.02*P*(50-P) with the initial condition P(0)=5 This is an IVP (“initial value problem”) for the population P versus time t. Report the following numbers in the given order (use two digits): The growth coefficient k=? The carrying capacity M=? The population level when the growth just starts to slow down (“the inflection point” population level) PIP=? The time when the population just starts to slow down tIP=? The population level when...

Write dt/ds with constant H in terms of T,P,V.

the IV(s) and its levels and the DV or the classification variable and its categories and...

the IV(s) and its levels and the DV or the classification variable and its categories and the DV (if chi-square analysis) or the X/Y variables (if correlation or regression) the nature (continuous or discrete) of the DV or the X/Y variables the appropriate statistical analysis Researchers evaluated whether the teen pregnancy rate at a local high school with abstinence-only sex education differed from the average teen pregnancy rate statewide. At the time of the study, the statewide rate (regardless of...

Question