How do I solve for a and b using the Van Der Waals equation using only the given values: P= 1 atm, V= 1.310 L, and T= 160 K

Answers

Answer 1

Answer:

[tex]a = \frac{24.79078- 1.7161b}{1.310 - b}[/tex]

[tex]b = 1.310 - \frac{22.5427}{a - 1.7161}[/tex]

Explanation:

Given

[tex]P = 1\ atm[/tex]

[tex]V = 1.310\ L[/tex]

[tex]T =160\ K[/tex]

Required

Solve for a and b

Van Der Waals equation is:

[tex]P = \frac{RT}{V - b} - \frac{a}{V^2}[/tex]

Substitute values for P, V and T, we have:

[tex]1 = \frac{R*160}{1.310 - b} - \frac{a}{1.310^2}[/tex]

R is a constant and the value is:

[tex]R = 0.0821[/tex]

So, the equation becomes:

[tex]1 = \frac{0.0821*160}{1.310 - b} - \frac{a}{1.310^2}[/tex]

Simplify the expression

[tex]1 = \frac{13.136}{1.310 - b} - \frac{a}{1.7161}[/tex] ----- (a)

Solving for (a):

[tex]1 + \frac{13.136}{1.310 - b} = \frac{a}{1.7161}[/tex]

Multiply both sides by 1.7161

[tex]a = [1 + \frac{13.136}{1.310 - b}] * 1.7161[/tex]

Take LCM

[tex]a = [\frac{1.310 - b+13.136}{1.310 - b}] * 1.7161[/tex]

Evaluate like terms

[tex]a = [\frac{14.446- b}{1.310 - b}] * 1.7161[/tex]

Open bracket

[tex]a = [\frac{24.79078- 1.7161b}{1.310 - b}[/tex]

Solving for (b), we have:

[tex]1 + \frac{13.136}{1.310 - b} = \frac{a}{1.7161}[/tex]

Subtract 1 from both sides

[tex]\frac{13.136}{1.310 - b} = \frac{a}{1.7161}-1[/tex]

Take LCM

[tex]\frac{13.136}{1.310 - b} = \frac{a-1.7161}{1.7161}[/tex]

Inverse both sides

[tex]\frac{1.310 - b}{13.136} = \frac{1.7161}{a - 1.7161}[/tex]

Multiply both sides by 13.136

[tex]1.310 - b = 13.136 * \frac{1.7161}{a - 1.7161}[/tex]

[tex]1.310 - b = \frac{22.5427}{a - 1.7161}[/tex]

Collect like terms

[tex]b = 1.310 - \frac{22.5427}{a - 1.7161}[/tex]


Related Questions

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Answers

Answer:

Risky behavior or risk-taking behavior is defined according to Trimpop (1994) as “any consciously, or non-consciously controlled behavior with a perceived uncertainty about its outcome, and/or about its possible benefits, or costs for the physical, economic or psycho-social well-being of oneself or others.” In addition to this broad definition, there are other definitions of risky behavior depending on the field of research. While in the economic view, risk is defined in terms of the variability of possible monetary outcomes, in the clinical literature, the risk is generally defined as exposure to possible loss or harm (Schonberg, Fox, & Poldrack, 2011). Turner et al. (2004) described risk-taking behavior further as either a socially unacceptable volitional behavior with a potentially negative outcome in which precautions are not taken, such as speeding, drinking and driving, drugs abuse, unprotected sex and so on.

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Answers

Answer:

Rare earth elements are lanthanum, cerium, praseodymium, neodymium, promethium, samarium, europium, gadolinium, terbium, dysprosium, holmium, erbium, thulium, ytterbium, lutetium, scandium, yttrium - that appear in low concentrations in the ground.

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Answers

Answer:

Synthetic detergents can be used for washing purposes even when the water is hard, whereas soaps are not suitable for washing with hard water. This is because of the fact that synthetic detergents can lather with hard water. Hence, Synthetic detergents better than soaps.

Synthetic detergents work on both soft and hard water, while soap works only with soft water.

a.
Suppose a group of bobcats that normally live and hunt in the tops of mountains, start hunting prey at the base of the
mountain and move into the valley below. Which of the following will most likely happen to the prey in the valley?
Their numbers will soon increase.
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C. They will move to the tops of the mountains.
d. They will remain unchanged.
Please select the best answer from the choices provided
Ο Α
OB
C
OD
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

University of University of South New York Jersey has is a the best in the world the most important most important aspect of aspect of life is life and marriage is in my a lot more of a urban

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Answers

Answer:

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Explanation:

A prism separates light into various different colors. Thus, D is correct. :)

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Answer: true

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id k what u r talking abt but hope this helps

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Answers

Answer:

Due to static charges.

Explanation:

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The solution in which the solute particles are suspended in a liquid (fluid) is called colloidal solution. Colloid is a solution that has particles ranging between 1 and 1000 nanometres. Cheese is a solid emulsion in which liquid is solute and solid is solvent. Hence, cheese is colloidal solution of liquid in solid.

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Answer


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what is Tyndall effect ?​

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My answer is in the picture.

Hope that helps

Stay safe always

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˚*・༓☾✧.* ☽༓・*˚⁺‧

The scattering of a beam of light through a colloidal solution in its dispersed phase is known as [tex]\large\boxed{tyndall \ \ effect}[/tex].

⁺˚*・༓☾✧.* ☽༓・*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

5 grams of iron react with 5 grams of oxygen to produce iron 3 oxide. If I produce 5 grams of product what is my percent yield?

Answers

Answer:

5 grams of iron react with 5 grams of oxygen to produce iron 3 oxide.

The actual yield of the reaction is--- 5 grams.

What is the percent yield?

Explanation:

The balanced chemical equation of the reaction is:

[tex]4Fe(s)+3O_{2} (g)->2Fe_{2} O_3(s)[/tex]

1)Identify the limiting reagent.

2)Using the limiting reagent calculate the amount of theoretical yield formed.

Identification of limiting reagent:

4 mol of Fe reacts with 3mol. of O2

that is:

4mol(55.84g/mol) of Fe reacts with ---- 3mol (32.0g/mol)

=223.36g of Fe reacts with ---- 96g. of O2

then,

5g of Fe requires how many grams of O2?

[tex]=>5g. of Fe * \frac{96g O2}{223.36g Fe} \\=2.14g. of O_{2} .\\[/tex]

But provided 5g of O2.

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Hence, O2 is the excess reagent and the limiting reagent is Fe.

The amount of product formed depends only on the amount of Fe only.

Theoretical yield:

From the balanced chemical equation:

4mol. of Fe forms ----- 2mol. of Fe2O3.

that is

223.36g of Fe forms --- 2(159.68g)of Fe2O3.

=>223.36g of Fe forms --- 319.36g of Fe2O3.

then,

5g of Fe forms ----? grams of Fe2O3

[tex]=>5g of Fe * \frac{319.36g Fe2O3}{223.36g of Fe} \\=7.14g. of Fe2O3\\[/tex]

[tex]%Error =\frac{actual yield}{theoretical yield} * 100\\\\ %error=\frac{5g}{7.14g} * 100\\ %error =70.0[/tex]% error=actual yield/ theoretical yield  x 100

%error=5g./7.14g  x100

=>%error=70.0

Hence, the answer is 70.0%.

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Answers

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432

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Answers

Answer:

The Lassaigne's test, also known as 

the sodium fusion test, is used in 

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--------------------------

☆Hope it helps

☆Have a great day!!


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Answers

Answer:

formula for calculating mass is

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Answers

Answer:

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More Detailed Answer:

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Answers

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Answer:

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K+ has 19 protons, 18 electrons

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Explanation:

Need help asap!

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Answers

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Answer:

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It is usually exerted by an object with a larger mass and felt by objects with smaller masses.

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Answers

Answer:

HNO3 and NaOH

Explanation:

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Earthworm
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Answers

Answer:

mice

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Explanation:

that's the answer

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O Li, Mg, Zn
O Li, Zn, Mg
O Mg, Li, Zn
O Zn, Mg, Li

Answers

Answer:

Lithium, Magnesium, Zinc

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B. If they are inhaled or swallowed.
C. If they enter into the human ear.
D. If they are touched.

Answers

Answer:

B. If they are inhaled or swallowed.

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Answers

Answer:

D

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Answers

Mol=M*vol(L)
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=1 * (7+19)
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A. Zinc was oxidized, chlorine was reduced.


B. Zinc was reduced, chlorine was oxidized.


C. This was not a redox reaction.

Answers

Answer:

This was not a redox reaction

Explanation:

A redox reaction is one in which a specie is oxidized and another specie is reduced. This means that one specie gains electrons while the other specie looses electrons.

Zinc chloride solid is composed of zinc ions and chloride ions. The ions only become free in solution. There is no change in the oxidation numbers of the ions as they dissolve in water.

Since the oxidation numbers of the species do not change, the process is not a redox reaction

A ball is thrown straight up into the air with a speed of 13 m/s. If the ball has
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A. 9.2 m
B. 8.6 m
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Answers

Answer:

The total energy, i.e. sum of kinetic and potential energy, is constant.

i.e. E = KE + PE

Initially, PE = 0 and KE = 1/2 mv^2

At maximum height, velocity=0, thus, KE = 0 and PE = mgh

Since, total energy is constant (KE converts to PE when the ball is rising),

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Hope this helps.

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