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]


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Answer:

The Lassaigne's test, also known as 

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Answers

Answer:

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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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Answer:

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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 ࿐

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Answers

Answer:

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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.

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Answers

Answer:

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Answers

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Answers

Answer:

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

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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

Answer:

HNO3 and NaOH

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b) More reactants take up the same volume
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Answers

Answer:

D

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How many individual decay steps are in the decay chain of
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432

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Answers

Answer:

D. Something that splits up light into different colors

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