Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C. Initially, there are 100 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 10 grams of C is formed in 7 minutes. How much is formed in 28 minutes? (Round your answer to one decimal place.) grams What is the limiting amount of C after a long time? grams How much of chemicals A and B remains after a long time? A grams B grams At what time is chemical C half-formed? t = min

Answers

Answer 1

Answer:

Follows are the solution:

Explanation:

A + B = C

Its response decreases over time as well as consumption of a reactants.  

r = -kAB

during response A convert into 2x while B convert into x to form 3x of C

let's  y = C

y = 3x

Still not converted sum of reaction  

for A: 100 - 2x

for B: 50 - x

Shift of x over time  

[tex]\frac{dx}{dt} = \frac{-k(100 - 2x)}{(50 - x)}[/tex]

Integration of x as regards t  

[tex]\frac{1}{[(100 - 2x)(50 - x)]} dx = -k dt\\\\\frac{1}{2[(50 - x)(50 - x)]} dx = -k dt\\\\\ integral\ \frac{1}{2[(50 - x)^2]} dx =\ integral [-k ] \ dt\\\\\frac{-1}{[100-2x]} = -kt + D \\\\[/tex]

D is the constant of integration

initial conditions: t = 0, x = 0

[tex]\frac{-1}{[100-2x]} = -kt + D \\\\\frac{ -1}{[100]} = 0 + D\\\\D= \frac{-1}{100}\\\\[/tex]

hence we get:

[tex]\frac{-1}{[100-2x]}= -kt -\frac{1}{100}\\\\or \\\\ \frac{1}{(100-2x)} = kt + \frac{1}{100}[/tex]

after t = 7 minutes , [tex]C = 10 \ g = 3x[/tex]

[tex]3x = 10\\\\x = \frac{10}{3}[/tex]

Insert the above value x into [tex]\frac{1}{(100-2x)}[/tex] equation [tex]= kt + \frac{1}{100}[/tex] to get k.  

[tex]\to \frac{1}{(100-2\times \frac{10}{3})} = k \times (7) + \frac{1}{100} \\\\ \to \frac{1}{(100- 2 \times 3.33)} = \frac{700k + 1}{100} \\\\ \to \frac{1}{(100-6.66)} = \frac{700k + 1}{100}\\\\ \to \frac{1}{93.34} = \frac{700k + 1}{100} \\\\[/tex]

[tex]\to 100 = 93.34(700k + 1) \\\\ \to 100 = 65,338k + 700 \\\\ \to 65,338k = -600 \\\\ \to k = \frac{-600}{ 65,338} \\\\ \to k= - 0.0091[/tex]

therefore plugging in the equation the above value of k  

[tex]\to \frac{1}{(100-2x)} = kt +\frac{1}{100} \\\\\to \frac{1}{(100-2x)} = -0.0091t + \frac{1}{100}\\\\\to \frac{1}{(100-2x)} = \frac{1 -0.91t}{100}\\\\\to \frac{1}{2(50-x)} = \frac{1 -0.91t}{100}\\\\\to \frac{1}{(50-x)} = \frac{1 -0.91t}{50}\\\\\to 50= (1-0.91t)(50-x)\\\\\to 50 = 50-45.5t-x-0.91tx\\\\\to x+0.91xt= -45.5t\\\\\to x(1+0.91t)= -45.5t\\\\\to x=\frac{-45.5t}{1+0.91t}[/tex]

Let y = C

, calculate C:

y = 3x

[tex]y =3 \times \frac{-45.5t}{1+0.91t}[/tex]

amount of C formed in 28 mins

[tex]x = \frac{-45.5t}{1+0.91t} ,[/tex] plug t = 28

[tex]\to x = \frac{-1274}{1+25.48} \\\\\to x = \frac{-1274}{26.48} \\\\\to x= -48.26[/tex]

therefore amount of C formed in 28 minutes is = 3x = 144.78 grams

C: [tex]y =3 \times \frac{-45.5t}{1+0.91t}[/tex]

y= 136.5 =137


Related Questions

Which of these elements has an electron configuration of [Kr]5s2?
barium

calcium

rubidium

strontium

Answers

Strontium has an electron configuration of [Kr]5s²

Further explanation  

In an atom there are levels of energy in the shell and sub shell  

This energy level is expressed in the form of electron configurations.  

Writing electron configurations starts from the lowest to the highest sub-shell energy level. There are 4 sub-shells in the shell of an atom, namely s, p, d and f. The maximum number of electrons for each sub shell is  

s: 2 electrons  

p: 6 electrons  

d: 10 electrons and  

f: 14 electrons  

From an electron configuration of [Kr]5s² can be concluded :

element is in period 5 (5 = shell)element is group 2(valence electron =2 and block s) has atomic number 38 (Kr = 36 + 2(valence elektron from 5s²)

If we look at the periodic system, the elements that meet the requirements in question are Strontium (Sr)

Answer:

D) strontium

what element has 3 valence electrons in the 3rd energy level

Answers

Answer:

Aluminum (Al)

Explanation:

It has 3 electron orbitals and has 3 valence electrons

What is often added to the water used when reacting the group 1 metals with
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Universal indicator
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Answers

Answer:

an acid.

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What form of energy is stored once glucose is from
o A. light energy
O B. kinetic energy
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O D. mechanical energy

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Answer:

The form of energychemical energy

the sum of all the kinetic energies of an object is it's​

Answers

Answer:

The sum of potential energy and macroscopic kinetic energy is called mechanical energy and stays constant for a system when there are only conservative forces (no non-conservative forces). The more mass a moving object has, the more kinetic energy it will possess at the same speed.

Explanation:

Answer: Mechanical energy

Explanation: The more mass a moving object has, the more kinetic energy it will possess at the same speed

The distinctive odor of vinegar is due to acetic acid, HC₂H₃O₂, which reacts with sodium hydroxide. If a 3.45 mL sample of vinegar needs 42.5 mL of 0.115 M NaOH to be neutralized, how many grams of acetic acid are in a 1.00 L bottle of this vinegar?​

Answers

Answer:

Explanation:

CH₃COOH + NaOH = CH₃COONa + H₂O .

42.5 mL of .115 M of NaOH will contain .0425 x .115 moles of NaOH

= 48.875 x 10⁻⁴ moles NaOH

It will react with same number of moles of acetic acid

So number of moles of acetic acid in 3.45 mL = 48.875 x 10⁻⁴

number of moles of acetic acid in 1000 mL = 48.875 x 10⁻⁴ x 10³ / 3.45 moles

= 1.4167 moles

= 1.4167 x 60 gram

= 85 grams .

So 85 grams of acetic acid will be contained in one litre of acetic acid.

(this is 6th grade science so that’s the closet subject I could find) Do you know an adult who drinks coffee, tea, or soda pop? Think about that person and picture them in your mind. Write a description to help that person understand how they can smell their favorite beverage even though it’s a liquid.

Answers

Answer:

Well you could boil the liquid, That would make steam from the liquid. Noramlly you can smell steam.

Explanation:

Bromine, a liquid at room temperature, has a boiling point of 58°C and a melting point of –7.2°C. Bromine can be classified as a
compound.
impure substance.
mixture.
pure substance.

Answers

Answer:

D. pure substance.

Explanation:

Answer:

:D

Explanation:

The hybrid orbitals of a molecule are shown in the figure.
These hybrid orbitals were most likely formed by mixing
one s orbital and one p orbital.
one s orbital and two p orbitals.
one s orbital and three p orbitals.
O two s orbitals and two p orbitals.

Answers

Answer:

One s orbital and One p orbital

Explanation:

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Answers

Answer:

Protons, neutrons, and electrons are the three main subatomic particles found in an atom.

Explanation:

the negatively charged electrons can be found around the nucleus in an electron cloud.

moles in 9.01x10^23 molecules water

Answers

Answer:

The answer is 1.50 moles

Explanation:

To find the number of moles in a substance given it's number of entities we use the formula

[tex]n = \frac{N}{L} \\ [/tex]

where n is the number of moles

N is the number of entities

L is the Avogadro's constant which is

6.02 × 10²³ entities

From the question we have

[tex]n = \frac{9.01 \times {10}^{23} }{6.02 \times {10}^{23} } = \frac{9.01}{6.02} \\ = 1.496677740...[/tex]

We have the final answer as

1.50 moles

Hope this helps you

Answer: 1.50 moles

Explanation:

Do all metals have more electrons than protons

Answers

Answer:

no

Explanation:

Which of the following conclusions can be made about the sedimentary layers?

bed 2 was deposited after bed 3
bed 2 was deposited before bed 3
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bed 1 is the youngest

Answers

Answer:

I think it's the second one im not sure tho

Hope this helps :)

- include the process that causes the sun to release so much energy
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Answers

Answer:   nuclear fusion, equation:(Z + N) in a nucleus of mass M. The formula is B = (Zmp + Nmn − M)c2, All of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays. Radiation is one way to transfer heat.

Explanation: i explained everything in the answer hope this helped

What mass of the calcium carbonate, to the nearest hundredth of a gram, is decomposed in this reaction.

Answers

Answer:

28.00 g is the answer

Answer:200

Explanation:

It’s is the answer

BRAINLIEST
What type of bond is Cu and F Ionic or Covalent? ​

Answers

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Answers

Answer:

Physical change

Explanation:

List harmful effects of global warming? PLZZ HELP WHOEVER IS FIRST ILL MARK BRAINLEIST

Answers

Answer:

first theres the poliution  one of the biggest things thats starts global warming then theres recycle and non recycle because people mix there trash up when their not suppossed to.

Explanation:

Now look closely at the patterns in the table. Compare the elements in each column and row. What can we say about
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Elements in the same row have the same number of occupied energy levels.
For each column, the last occupied energy level has the same number of electrons.
The number of electrons in the first energy level increases by one from Li to Ne.

Answers

Answer: Elements in the same row have the same number of occupied energy levels. For each column, the last occupied energy level has the same number of electrons.

Explanation: Straight from PLATO.

On comparing the elements we can say that:

B. Elements in the same row have the same number of occupied energy levels.

Elements in periodic table:

In the periodic table, elements are arranged in an order of increasing atomic number. It comprises of seven periods and eighteen groups.

The elements present in the same row or in the same period will have equal number of energy levels or shells.

Thus, option B is correct.

Find more information about periodic table here:

brainly.com/question/15987580

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Answers

Answer:

4;6

Explanation:

because there are four elements

the answer will be .. A . 4;6


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17) 200°K
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Answers

16) 100- 273= -173°celsius

17) -73°Celsius

18) °Celsius

19) 77°Celsius

Hi :)

16) 100°K= 100K − 273.15 = -173.1°C

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19) 350°K= 350K − 273.15 = 76.85°C

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Answers

Answer:

Shortly after, the electron will fall back down to a lower energy level, releasing energy in the form of light. Therein lies the key to colorful fireworks!

The matter and energy of fireworks simply rely on the flow of electrons from the ground stage to the excitatory stage.

What is Matter?

Matter may be defined as any sort of substance that is constructed of numerous types of particles that occupy physical space and possess inertia. In simple words, matter may be characterized as anything which occupies space and has mass.

When the electrons move from the ground stage to the excitatory stage, they require a significant amount of energy in any form. But when they fall back to the ground stage from the excitatory stage, they liberates energy.

The same principle is applied in the colorful observation of fireworks. The stored energy is released and different colors of fireworks become visible.

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#SPJ2

How does a rain gauge measure rainfall?
A.
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B.
by counting raindrops
C.
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D.
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Answers

a) by collecting rain in a measuring container
(explanation) a rain gauge is just a cylinder that will catch rain.
A, by collecting rain in a measuring container.

2 Examples of solid, liquid and gas

Answers

Answer:

Solid

1. Stone

2. Brick

Liquid

1. Water

2. Oil

Gas

1. Oxygen

2. Nitrogen

Answer:

rock and sand, water and steam, smoke and hydrogen

Explanation:

rock and sand are solids, water and steam are liquids, smoke and hydrogen are gases. trust me i know this

pleaseee help.....ASAP
will mark branliest!!
and give extra points!

Answers

Answer:

C

Explanation:

All three can become negative versions: negative ions

Answer:

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A. How many molecules of sugar are in 20.5 g of sugar?

Answers

Answer:

By definition, one mole (one gram molecular weight) of any substance, contains Avogadro’s number of particles; atoms if you are discussing an element, or molecules if a compound. Avogadro’s number has been determined by several methods, all of the accepted values lie within a range of +-1% about the value of 6.022045 x 10^23/gm. That is a large number, in this case approximately; 602,204,500,000,000,000,000,000 molecules of glucose.

1M is 1M 1M is 1M 1M is 1M 1M is 1M

Help fast!
Determine the density of a liquid if it’s mass is 50.5 grams.

Answers

Answer:

do we have the volume ?

Explanation:

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A deep mines
B ligthening
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D car batteries

Answers

Answer:

c

Explanation:

by burning it we get steam from.it electricity ..........

Write 657000 in scientific notation.

Answers

Answer:

600000+50000+7000

Explanation:


Convert the following to Kelvin
12) 0° C
13) -50° C
14) 90° C
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Answers

Answer:

12)273.15 kelvin

13)223.15 kelvin

14)363.15 kelvin

15)253.15 kelvin

Explanation:

thank u!!!

Answer:

12) 273.15

13) 223.15

14) 363.15

15) 253.15

Explanation:

Formula:

_C+273.15=_K

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