Please answer d & e. The molar volume of a binary liquid mixture at T & P is given by:The equations in a) are in the second photo. 4. The molar volume of a binary liquid mixture at Tand P is given by:V = 120x, + 70x2 + (15x1 + 8x2)x1X2mola. Find expressions for the partial molar volumes of species 1 and 2 at T and P.b. Show that when these expressions are combined in accord with M = E; x;M1, the givenequation for the molar volume is recorded.Show that these expressions satisfy the Gibbs/Duhem equation.d. Show that (dV¼/dx1)x1=1 = (dV2/dx,)x1=0 = 0.Plot values of V, V, and V, calculated by the given equation for V and by the equationdeveloped in (a) vs x1. Label points Vi, V2, Vº and Vº, and show their values.c.е. The expression for molar vohme of a binary liquid mixture at T and P is as follows:V=120x, +70x, +(15x, +8x, ) x,x,..... (1)Substitute x, =1-x and reduce the equation (1) in terms of x,V =120x, + 70(1– x)+(15x, +8(1-x))×(1– x )= 120x, + 70– 70x, +(7x +8x )(1-x)=120x, + 70– 70x, +7x - 7x +8x, -8x= 70 + 58x, – x - 7x(2)The expression for partial molar volumes of species-1 is as follows:dVV =V+x,-dr,d= 70+58x-저-7x +x|dx,(70+ 58x – x – 7x ) |= 70+ 58x, – x - 7x +(1-x)×(58-2x – 21x)-70+58m--7x +58-2x-21-58 + 2x7 + 21년=128– 2x, – 20x +14x}(3)......The expression for partial molar volumes of species-2 is as follows:dVV, =V-xd= 70+58x-4-7x-제(70+58x, – x - 7x)|dx= 70+58x, – xỉ – 7 – x (58– 2x, – 21x)= 70 +58x-저-7제-58x, + 2x +21서-70+저 +14서(4)

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Introduction to Chemical Engineering Thermodynamics

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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

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Please answer d & e.

The molar volume of a binary liquid mixture at T & P is given by:

The equations in a) are in the second photo.

4. The molar volume of a binary liquid mixture at Tand P is given by:
V = 120x, + 70x2 + (15x1 + 8x2)x1X2
mol
a. Find expressions for the partial molar volumes of species 1 and 2 at T and P.
b. Show that when these expressions are combined in accord with M = E; x;M1, the given
equation for the molar volume is recorded.
Show that these expressions satisfy the Gibbs/Duhem equation.
d. Show that (dV¼/dx1)x1=1 = (dV2/dx,)x1=0 = 0.
Plot values of V, V, and V, calculated by the given equation for V and by the equation
developed in (a) vs x1. Label points Vi, V2, Vº and Vº, and show their values.
c.
е.

The expression for molar vohme of a binary liquid mixture at T and P is as follows:
V=120x, +70x, +(15x, +8x, ) x,x,
..... (1)
Substitute x, =1-x and reduce the equation (1) in terms of x,
V =120x, + 70(1– x)+(15x, +8(1-x))×(1– x )
= 120x, + 70– 70x, +(7x +8x )(1-x)
=120x, + 70– 70x, +7x - 7x +8x, -8x
= 70 + 58x, – x - 7x
(2)
The expression for partial molar volumes of species-1 is as follows:
dV
V =V+x,-
dr,
d
= 70+58x-저-7x +x|
dx,
(70+ 58x – x – 7x ) |
= 70+ 58x, – x - 7x +(1-x)×(58-2x – 21x)
-70+58m--7x +58-2x-21-58 + 2x7 + 21년
=128– 2x, – 20x +14x}
(3)
......
The expression for partial molar volumes of species-2 is as follows:
dV
V, =V-x
d
= 70+58x-4-7x-제
(70+58x, – x - 7x)|
dx
= 70+58x, – xỉ – 7 – x (58– 2x, – 21x)
= 70 +58x-저-7제-58x, + 2x +21서
-70+저 +14서
(4)

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d. Show that (d/dx,)x1=1 = (dV2/dx1)x1=0 = 0. Plot values of V, V, and V, calculated by the given equation for V and by the equation developed in (a) vs x1. Label points V1, V2, Vª and Vº, and show their values. е.