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

(20 points and excuse any offensive or seemingly bad language in this question) Budding and regeneration are two types of asexual reproduction.

Answers

Answer: true

Asexual reproduction is the process by which an organism is produced from a single parent cell. There are four major forms of asexual reproduction - budding, binary fission, regeneration and parthenogenesis. ... Regeneration is a type of asexual reproduction in which the organism is capable of regrowing certain body parts.

Explanation:

id k what u r talking abt but hope this helps

Suggest two reactants to prepare sodium nitrate by titration

Answers

Answer:

HNO3 and NaOH

Explanation:

A neutralization reaction is a reaction that occurs between an acid and a base to form salt and water only.

Neutralization reactions are commonly carried out by method of titration. That is, a measured volume of acid of unknown concentration is made to react with a known volume of standard base solution or vice versa.

Two reactants that could be titrated to obtain sodium nitrate are nitric acid and sodium hydroxide.

The reaction equation is as follows;

HNO3(aq) + NaOH(aq) ----> NaNO3(aq) + H2O

DIRECTION:Tell how charging takes place in each illustration.​

Answers

Answer:

Due to static charges.

Explanation:

In the illustration, we can see that when we bring the magnet close to the body, the static charges present on the body rearrange theirselves and attracted by the magnet. The magnetic substance is responsible for the arrangement of charges on the body and when they are arranged, they attract each other so we can say that static charges are present on the body and rearrangement occurs in the body.

Describe the nucleus of an atom in short ​

Answers

Answer:

The nucleus is a small, region at the center of the atom which consists of protons and neutrons.

More Detailed Answer:

The nucleus is a small, dense region at the center of the atom. It consists of positive protons and neutral neutrons, so it has an overall positive charge. The nucleus is just a tiny part of the atom, but it contains virtually all of the atom's mass.

- flexbooks

'Synthetic detergents are better than soaps'. Justify this statement​

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.

Which 3 organisms feed on dead matter and waste products?

Earthworm
Ladybug
Fungi
Mice
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Answers

Answer:

mice

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Explanation:

that's the answer

Cheese is an example of Solid in gas colloid Liquid in gas colloid Solid in liquid colloid Liquid in solid colloid

Answers

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.

1234567890123345678901234567890

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Answer:

1234567890123345678901234567890

Explanation:

trick question....

rare earth elements plz

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.

Explanation:

The rare earth elements (REE) are a set of seventeen metallic elements. These include the fifteen lanthanides on the periodic table plus scandium and yttrium. Rare earth elements are an essential part of many high-tech devices.

Need help asap!

What is the oxidation number of Chromium in Cr2O74-?

Answers

+6

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Hope it helps you I'm from ph❤️

How many individual decay steps are in the decay chain of
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Answers

Answer:

432

Explanation:

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.
b. Their numbers will soon decrease.
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

b their numbers will soon decrease

200 ml of a LiF solution is 5.0M concentration. How many grams of LiF does it have?

Answers

Mol=M*vol(L)
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what are primary miniral nutrient in plant grawth​

Answers

Mark Brainliest please

Answer


There are 17 nutrients that essential for the growth of the plants. These nutrients are classified into two categories on the basis of requirement micronutrients (required in less amount) and macronutrient (required in large amount). The three primary nutrients needed for plant growth are nitrogen, phosphorous and potassium.

What is lassaigne's test?

Answers

Answer:

The Lassaigne's test, also known as 

the sodium fusion test, is used in 

elemental analysis to determine the 

presenceof foreign elements,

 specifically halogens, nitrogen, and 

sulfur, in an organic compound.

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

☆Hope it helps

☆Have a great day!!

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gao yin sheng, zhong yin sheng and the other shengs

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Answer:

Explanation:

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

Putting this into context, the earth exerts a gravitational pull on all substances with masses, which are around it. This includes the oceans, birds, airplanes, clouds, and even gasses in the atmosphere. The atmospheric gasses may be light enough to float, but they can't go very far, since gravity is constantly tugging at them. This keeps the gasses that make up our atmosphere, within a reasonable radius, which is very close to the earth. In a nutshell, gravity prevents them from floating away into outer space.

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 ࿐

can you please solve this

Answers

IMK Your answer is option C

24 protons and 29 neutrons

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.

So, O2 is present more than required.

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

Answer:

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Answers

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Select the correct answer.
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Answers

Answer:urenium

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Answer:

We know when the no of protons (+ charge) is greater than the no of electrons (- charge), the nucleus pulls the electrons with greater force, hence making the size smaller. Clearly, the cations are smaller than the atoms, this largest atom/ion will be Ca.

K has 19 protons, 19 electrons

K+ has 19 protons, 18 electrons

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Ca2+ has 20 protons, 18 electrons

Li has 3 protons, 3 electrons

Clearly, the cations are smaller than the atoms, this largest atom/ion will be Ca.

Explanation:

Students conducted an experiment to determine the relative reactivity of lithium,
magnesium, and zinc metal. They placed a small amount of each metal into separate
beakers of water at room temperature. Choose the order that ranks these metals
according to their relative reactivity with H20, from most reactive to least reactive.
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. Something that raises electrons to higher energy levels
c. Something that combines colors into a single source
D. Something that splits up light into different colors

Answers

Answer:

D. Something that splits up light into different colors

Explanation:

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

1.1 Define the concept risky behaviour?​

Answers

Answer:

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Answers

Answer:

D

Explanation:

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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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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.

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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
C. 10.4 m
D. 9.9 m

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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