In Purdue's Chemistry department, the chemists have found that in a water based solution containing 1616 grams of certain undissolved chemicals, the rate of change of the amount of chemicals dissolved in the solution is proportional to the amount of the undissolved chemicals. Let Q(t)Q(t) (in grams) be the amount of dissolved chemicals at time tt and let kk be the positive proportionality constant. The differential equation describing the given situation is:

Answers

Answer 1

Answer:

The differential equation describing the given situation is dQ/dt = k( 16 - Q )

Explanation:

Given the data in the question;

Initially, the water based solution contains 16 grams of undissolved chemicals;

Assume Q(t) is the amount of dissolved chemical at time L

then the amount of undissolved chemicals at time t is ( 16 - Q)

The rate of change of amount of chemicals dissolved in the solution is proportional to the amount of undissolved chemicals

this means;

dQ/dt ∝ ( 16 - Q)

dQ/dt = k( 16 - Q )

where k is the positive proportionality constant.

Therefore, The differential equation describing the given situation is dQ/dt = k( 16 - Q )


Related Questions

Given 450.98 g of Cu(NO3)2, how many moles of Ag can be made? Provide your final answer rounded to two decimal places.
Cu + 2 AgNO3 → Cu(NO3)2 + 2 Ag

Answers

Answer:

4.82 moles of Ag.

Explanation:

We'll begin by calculating the number of mole in 450.98 g of Cu(NO₃)₂. This can be obtained as follow:

Molar mass of Cu(NO₃)₂ = 63.5 + 2[14 + (16×3)]

= 63.5 + 2[14 + 48]

= 63.5 + 2[62]

= 63.5 + 124

= 187.5 g/mol

Mass of Cu(NO₃)₂ = 450.98 g

Mole of Cu(NO₃)₂ =?

Mole = mass /Molar mass

Mole of Cu(NO₃)₂ = 450.98 / 187.5

Mole of Cu(NO₃)₂ = 2.41 moles

Next, we shall determine the number of mole of Cu needed to produce 450.98 g (i.e 2.41 moles) of Cu(NO₃)₂. This can be obtained as follow:

Cu + 2AgNO₃ —> Cu(NO₃)₂ + 2Ag

From the balanced equation above,

1 mole of Cu reacted to produce 1 mole of Cu(NO₃)₂.

Therefore, 2.41 moles of Cu will also react to produce 2.41 moles of Cu(NO₃)₂.

Thus, 2.41 moles of Cu is needed for the reaction.

Finally, we shall determine the number of mole of Ag produced from the reaction. This can be obtained as follow:

From the balanced equation above,

1 mole of Cu reacted to produce 2 moles of Ag.

Therefore, 2.41 moles of Cu will react to produce = 2× 2.41 = 4.82 moles of Ag.

Thus, 4.82 moles of Ag were obtained from the reaction.

What is true of the following chemical reaction?
Hg + O - Hgo
The mass of the individual reactants together is more than the mass of the
product.
The mass of the products is more than the mass of the reactants.
The mass of the products is equal to the mass of the reactants.
The mass of oxygen does not add to the equation because it is a gas.

Answers

Answer:

it is option c. the mass is equal of both

The law of conservation of mass is the concept used here to find out the true statement. The correct option is C - The mass of the products is equal to the mass of the reactants.

What is law of conservation of mass?

The law which states that matter can neither be created nor destroyed in a chemical reaction is defined as the law of conservation of mass. This law was postulated by the scientist A. Lavoisier.

This law also states that the total mass of the products should be always equal to the total mass of the reactants. The reactants are the substances which are seen on the left part of the equation and the products are seen on the right part of the equation.

Here the mass of the compound Mercury (II) oxide is same as that of mercury and oxygen. Thus the given equation obeys the law of conservation of mass.

Thus the correct option is C.

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. Calculate the pH of a solution made by dissolving 1.87 g of sodium caproate, NaC6H11O2, Kb =
7.58 x 10-10, in water and diluting to a total volume of 500.0 mL.

Answers

Answer:

Hindi ko po alam pero subukan ko pong sagutan yan

Correct formula for aluminum oxide

Answers

Answer:

Formula for aluminum oxide Al₂O₃

Explanation:

Hope that helps

Answer:

Al2O3, ionic

Explanation:

what is the percent composition of hydrogen in cane sugar

Answers

Answer:

6.48%

Explanation:

The substance krypton has the following properties: normal melting point:

normal melting point: 115.9 K
normal boiling point: 119.8 K
triple point; 0.72 atm, 115.8 K
critical point: 54.3 atm, 209.4 K

A sample of krypton is initially at a pressure of 59.8 atm and a temperature of 107.7 K. The pressure on the sample is reduced to 0.720 atm at a constant temperature of 107.7 K. Which of the following are true?

a. The final state of the substance is a solid.
b. One or more phase changes will occur.
c. The final state of the substance is a liquid.
d. The sample is initially a gas.
e. The solid initially present will vaporize.

Answers

Answer:

Part 1

triple point; 0.72 atm, 115.8 K

Part 2

Option D, The sample is initially a gas.

Explanation:

Part 1

The triple point of krypton is  0.72 atm

and the melting point of Krypton is -157.4 °C or  115.8 K

Hence, option C is correct

Part 2

Option D

At 59.8 atm, Krypton is a gas. It changes its state from gas to liquid and solid when the temperature is extremely low. Here the temperature is same , hence only option D is correct

Consider the following chemical equilibrium:

N2 (g) + 3H2 ⇌ 2NH3

Now write an equation below that shows how to calculate Kp from Kc for this reaction at an absolute temperature .

Answers

Answer:

Kp = Kc (RT) ^(-2)

Explanation:

For the reaction;

N2 (g) + 3H2 ⇄ 2NH3(g)

We can write;

Kc = [NH3]^2/[N2] [H2]^3

But

Kp = pNH3^2/pN2 . PH2^3

To convert from Kc to Kp

Kp = Kc (RT) ^Δn

where Δn is the change in number of moles going from reactants

to products.

For this reaction;

Δn = 2- (3+1) = -2

Kp = Kc (RT) ^(-2)

If expending 3500 kcal is equal to a loss of 1.0 lb, how many days will it take Charles to lose 5.0 lb? Express your answer to two significant figures. Charles consumes 1800 kcal per day.

Answers

Answer:31 days

Explanation:

3500kcal/lb x 5lb =17500

1800-1230=570

17500/570=30.70

Round up =31

This question involves the concepts of energy, weight, and time.

It will take Charles "9.7 days" to lose 5.0 lb.

TIME TO LOSE WEIGHT

Since the loss of 1.0 lb weight requires expending 3500 kcal energy. Therefore, by using the unitary method,

1.0 lb loss = 3500 kcal

(5)(1.0) lb loss = (5)(3500 kcal)

5.0 lb loss = 17500 kcal ----- eqn(1)

Now, the time required to consume 1800 kcal is 1 day. Hence, by the unitary method,

1800 kcal = 1 day

1 kcal = [tex]\frac{1}{1800}\ day[/tex]

17500 kcal = [tex]\frac{17500}{1800}[/tex] day

17500 kcal = 9.7 days ------ eqn(2)

Comparing eqn (1) and eqn (2)

5.0 lb loss = 9.7 days

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You place a pot of soup on the stove. As the soup warms you notice some areas where soup is rising up and
other areas where soup is sinking down.
1. Why do you think some of the soup is rising up?

Answers

Answer:

Convention

Explanation:

Answer:

Because the soup became warm and less dense, so it rose up.

Explanation:

Found on Course Hero is an American education technology website company based in Redwood City, California, which operates an online learning platform for students to access course-specific study resources contributed by a community of students and educators.

can someone help me with this?

Answers

Answer:

The growth of any plant is controlled by many factor and it depends on them.

Explanation:

The words are sorted according to their genetic factors and the environment factors by the category on which they effect and impact the growth of a plant.

Genetic factor :

Waxy leaves, bad tasting leaves, disease, leaf structure, types of stem, plant structure, reproduction, types of roots.

Environment factor : sunlight, drought, fire, flood, heat wave, insects, wind, space, pH of soil, temperature, pollution, terrain, soil conditions, lack of air.

Applying a force can make an electron shift from one atom to another causing what?

Answers

Electrons in atoms can act as our charge carrier, because every electron carries a negative charge. If we can free an electron from an atom and force it to move, we can create electricity.

What are the components of the system that influence its motion? *

Answers

Answer:

Motion control systems are any system that control one or more of the following of a machine: its position, velocity, force, and/or pressure. They generally consist of the follow components: Motion controller: the central part that operates the system (I.e. the brain)

The distance between the centers of the two oxygen atoms in an oxygen molecule is 1.21 x 10-8 cm. What is this distance in inches?

Answers

Answer:

[tex]d=4.75\times 10^{-9}\ \text{inches}[/tex]

Explanation:

Given that,

The distance between the centers of the two oxygen atoms in an oxygen molecule is [tex]1.21\times 10^{-8}\ cm[/tex].

We need to convert this distance in inches.

We know that,

1 cm = 0.393 inches

We can solve it as follows :

[tex]1.21\times 10^{-8}\ cm=0.393\times 1.21\times 10^{-8}\\\\=4.75\times 10^{-9}\ \text{inches}[/tex]

So, the distance between the centers of the two oxygen atoms is [tex]4.75\times 10^{-9}\ \text{inches}[/tex].

A molten sample of 1.00kg of iron with a specific heat of 0.385J/g.K at 1000.K is immersed in a sample of water. If the water absorbs 270 kJ of heat what is the final temperature of the iron?
I need all the process.

Answers

Answer:

298. 7 K.

Explanation:

Hello!

In this case, since equation we use to compute the heat in a cooling or heating process is:

[tex]Q=mC(T_f-T_i)[/tex]

Whereas we are given the heat, mass, specific heat and initial temperature. Thus, we infer that we need to solve for the final temperature just as shown below:

[tex]T_f=T_i+\frac{Q}{mC}\\\\T_f=1000 K+\frac{-270000J}{1000g*0.385\frac{J}{g*K} } \\\\T_f=298.7 K[/tex]

It is important to notice that the iron release heat as water absorbs it, that is why it is taken negative.

Best regards!

I need help with this!

Answers

Answer:

2.68 cm^3

Explanation:

Density= Mass/Volume

so...

8.96 g/cm^3 = 24.01 g/ V

and then u solve so it would be 2.68 cm ^3

((:

A compound has an empirical formula of PO2 and a molar mass of 126 g/mol. What
is the molecular formula of the molecule?

Answers

Answer:

P₂O₄

Explanation:

From the question given above, the following data were obtained:

Empirical formula = PO₂

Molar mass of compound = 126 g/mol

Molecular formula =.?

The molecular formula of the compound can be obtained as illustrated below:

Molecular formula = [Empirical]ₙ

= molar mass

[PO₂] × n = 126

[31 + (16× 2)] × n = 126

[31 + 32] × n = 126

63 × n = 126

Divide both side by 63

n = 126 / 63

n = 2

Molecular formula = [PO₂]ₙ

Molecular formula = [PO₂]₂

Molecular formula = P₂O₄

Molecular formula of a compound with an empirical formula c5h6 and a molar mass of 132.21

Answers

Answer:C10H12

Explanation:

Given :empirical formula =C5H6

molar mass of carbon =12 g /mole approximately

molar mass of hydrogen =1.01g/mole approximately

molar mass of C5H6=(5*12)+(6*1.01)=66.06 g/moles

132.21/66.06=2 approximately

therefore ,the answer is  C10H12

I HOPE IT HELPS !!

what is the answer to this?

Answers

Answer:

1. I

2.LOVE

3.YOU

JUST KIDDING

REAL ANSWER

Therefore, to get a neutral compound requires two Br and one Ca - ie, CaBr2.

hope it helps pleass give me a brainlliest answer love youu

What kind of intermolecular forces act between a hydrogen cyanide (HCN) molecule and a carbon monoxide molecule?

Answers

Answer:

Dispersion forces

Dipole-Dipole interaction

Explanation:

The London dispersion force refers to the temporary attractive force that acts between the electrons in two adjacent atoms when the atoms develop temporary dipoles. Dispersion forces act between any two molecules even when other intermolecular forces are in operation as long as the molecules are in close proximity to each other.

Now, CO is polar and the HCN is also polar molecule. Hence, dipole - dipole interaction forces  are also in operation and acts between the two molecules in close proximity to each other.

Dispersion forces and Dipole-Dipole interaction are intermolecular forces which act between a hydrogen cyanide (HCN) molecule and a carbon monoxide molecule

The transitory attractive force that exists between the electrons in two nearby atoms when the atoms form transient dipoles is known as the London dispersion force. As long as the molecules are close to one another, dispersion forces can exist between any two molecules, even when other intermolecular forces are active.

The HCN molecule and CO are both polar molecules right now. As a result, dipole-dipole interaction forces act between the two molecules when they are close to one another.

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A student obtained 1.57 g of product in a chemical reaction in the lab although she expected to produce 2.04 g of product. What was the percent yield of the experiment?

A. 23.1%
B. 43.4%
C. 56.5%
D. 77.0%

Answers

Answer:

D. 77.0%

Explanation:

% yield = actual yield/theoretical yield x 100%

% yield = 1.57 g / 2.04 g x 100%

% yield = 76.96 (round up)

Baking soda and vinegar questions

Answers

what are the questions on baking soda and vinegar that you are asking

How many grams of iron (III) oxide are needed to produce 86.0 g of iron metal?

Answers

Answer: 122.9 g

Explanation:  Fe2O3 mw = 160 of which 112 is Fe

to get 86 g Fe, 86*160/112 g oxide

balanced or not balanced
2 H2 + 2 NO 2 H2O + N2

Answers

Answer: balanced

Explanation:

Consider four beakers labeled A, B, C, and D, each containing an aqueous solution and a solid piece of metal. Identity the beakers in which a chemical reaction will occur and those in which no reaction will occur. Mn(s) Ca(NO3)2(aq) KOH(aq) Fe(s) Pt(NO3)2(aq) Cu(s) Cr(s) H2SO4(aq)

Answers

Answer:

1. Mn(s) + Ca(NO₃)₂(aq)  ----> No reaction

2. KOH(aq) +  Fe(s)   ----> No reaction

3. Pt(NO₃)₂(aq) + Cu(s)  ----> Reaction occurs

4. Cr(s) + H₂SO₄(aq)   ----> Reaction occurs

Explanation:

The activity series of metals is a series that arranges metals in order of reactivity from highest to lowest. It is used to determine which metal will displace another in a single displacement reactions, whereby a metal A, will replace or be replaced by another metal B in an aqueous solution depending on their relative positions in the activity series.

Considering the given reactions:

1. Mn(s) + Ca(NO₃)₂(aq)

2. KOH(aq) +  Fe(s)

3. Pt(NO₃)₂(aq) + Cu(s)

4. Cr(s) + H₂SO₄(aq)

Reaction 1 will not occur because manganese, Mn, is lower than calcium, Ca, in the activity series of metals and cannot displace it from aqueous solutions.

Reaction 2 will not occur since iron, Fe, is lower than potassium, K, in the activity series and cannot displace it from aqueous solutions.

Reaction 3 will occur since platinum, Pt, is lower than copper, Cu, in the activity series and thus can be displaced by copper from aqueous solutions.

Reaction 4 will  occur since chromium, Cr, is higher than hydrogen, H, in the activity series and thus, can displace it from aqueous solutions.

How many molecules are in 85g of silver nitrate?

Answers

Answer:

3.0 × 10²³ molecules AgNO₃

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Chemistry

Atomic Structure

Reading a Periodic TableWriting CompoundsAvogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.

Stoichiometry

Using Dimensional AnalysisExplanation:

Step 1: Define

85 g AgNO₃ (silver nitrate)

Step 2: Identify Conversions

Avogadro's Number

[PT] Molar Mass of Ag - 107.87 g/mol

[PT] Molar Mass of N - 14.01 g/mol

[PT] Molar Mass of O - 16.00 g/mol

Molar Mass of AgNO₃ - 107.87 + 14.01 + 3(16.00) = 169.88 g/mol

Step 3: Convert

Set up:                              [tex]\displaystyle 85 \ g \ AgNO_3(\frac{1 \ mol \ AgNO_3}{169.88 \ g \ AgNO_3})(\frac{6.022 \cdot 10^{23} \ molecules \ AgNO_3}{1 \ mol \ AgNO_3})[/tex]Multiply/Divide:                                                                                                [tex]\displaystyle 3.01313 \cdot 10^{23} \ molecules \ AgNO_3[/tex]

Step 4: Check

Follow sig fig rules and round. We are given 2 sig figs.

3.01313 × 10²³ molecules AgNO₃ ≈ 3.0 × 10²³ molecules AgNO₃

the law of conservation of mass​

Answers

Answer: The Law of Conservation of Mass dates from Antoine Lavoisier's 1789 discovery that mass is neither created nor destroyed in chemical reactions. In other words, the mass of any one element at the beginning of a reaction will equal the mass of that element at the end of the reaction.

Explanation:

this is an example of what process ?

Answers

answer is natural selection

18. What is one of the three things that cause the surface currents of the oceans?
A.differences in salinity
B.temperature differences
C. density differences
D. Coriolis effect

Answers

Answer:

b. temperature difference

If you have 4.72 x 10^24 atoms of Carbon, how many moles of Carbon do you have?
Question 5 options:


2.84 x 10^48 moles of carbon


4.12 x 10^24 moles of carbon


4.72 x 10^24 moles of carbon


7.84 moles of carbon

Answers

Answer:

[tex]7.84\ \text{moles}[/tex]

Explanation:

Number of atoms of carbon = [tex]4.72\times 10^{24}[/tex]

Avogadro's number = [tex]6.022\times 10^{23}\ \text{mol}^{-1}[/tex]

Here we have to divide the number of atoms by the Avogadro's number

[tex]\dfrac{4.72\times 10^{24}}{6.022\times 10^{23}}=7.83792\approx 7.84\ \text{moles}[/tex]

The moles of carbon are [tex]7.84\ \text{moles}[/tex].

Pls give a detailed explanation about what are enzyme mutations

Answers

Answer:

Enzyme mutations can lead to serious or fatal human disorders and are the consequence of inherited abnormalities in the affected individual's DNA. The mutation may be at a specific position in an enzyme encoded by a mutated gene, just like a single abnormal amino acid residue.

Explanation:

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