Consider a tank used in certain hydrodynamic experiments. after one experiment the tank contains 900 l of a dye solution with a concentration of 1 g/l. to prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 9 l/min, the well-stirred solution flowing out at the same rate. find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value. (round your answer to one decimal place.)

Answers

Answer 1
Soln: •t: in min •Q(t): quantity of dye in the tank at time t •r in= 0: rate of dye poured into the tank per min. Since it is fresh water, so it is zero. •r out= density of dye×rate of fluid =Q/900×9: rate of dye flowing out. •Q(0) = 1×900 g: initial amount of dye in the tank. •{dQ/dt=rin-rout= 0-Q100 Q(0) = 900g•Q(t)=Ce-1/100t •Q(0) = 900, C= 900, Q(t) = 900e-1/100t •Q(t) = 0.01·Q(0), Q(0)e-1/100t= 0.01×Q(0),-t100= ln 0.01, t= 460min

Related Questions

The density of platinum is 21.45 g/cm3 at 20 ∘c. calculate the mass of 80.00 cm3 of platinum at this temperature.

Answers

The formula for density = mass/volume.
We know the density (21.45 g/cm³)
We know the volume (80.00 cm³) of the sample
We don't know the mass, so first - solve the equation for mass:

D=m/v  [multiply v to both sides to isolate m]
Dv=m

Now, insert the known value and units...make sure the units cancel properly:
21.45 g/cm³ x 80.00 cm³ = 1716 g

Final answer:

The mass of 80.00 cm3 of platinum at 20 ℃, given its density of 21.45 g/cm3, is calculated to be 1716 grams (1.716 kilograms) using the formula Mass = Density × Volume.

Explanation:

To calculate the mass of 80.00 cm³ of platinum at a temperature of 20 ℃, given that the density of platinum is 21.45 g/cm³, we use the formula for density:

Density = Mass / Volume.

Rearranging this formula to find mass gives us Mass = Density × Volume.

Substituting the known values:

Density = 21.45 g/cm³Volume = 80.00 cm³

Gives us:

Mass = 21.45 g/cm3 × 80.00 cm³ = 1716 g or 1.716 kg.

Thus, the mass of 80.00 cm³ of platinum at 20 ℃ is 1716 grams or 1.716 kilograms.

How is an emulsion different from a solution

Answers

I dont know why, but I was having trouble submitting my answer. I couldn't find any inappropriate words or copyrighted material. I took a screen shot of my answer and attached it below. Hope this helps!

Describe what conditions exist in water molecules to make them dipolar.

Answers

The bent geometry of the water molecule gives a slight overall negative charge to the oxygen side of the molecule and a slight overall positive charge to the hydrogen side of the molecule. This slight separation of charges gives the entire molecule an electrical polarity, so water molecules are dipolar.

Water molecules are dipolar because the more electronegative oxygen atom attracts electrons away from the hydrogen atoms, creating a charge imbalance within the molecule. The bent shape of water molecules prevents the cancellation of these local dipoles, resulting in a net dipolarity that enables water to engage in hydrogen bonding and dissolve ionic compounds.

Water molecules are dipolar due to the unique arrangement and electrical properties of their constituent atoms. The molecule of water consists of one oxygen atom and two hydrogen atoms. Oxygen, being more electronegative, draws the shared electrons from the hydrogen atoms towards itself more strongly.

This electron shift results in a partial negative charge on the oxygen atom and a partial positive charge on the hydrogen atoms, creating a polarity in the molecule. Additionally, due to water's bent shape, with an H-O-H angle of approximately 104.45°, these individual bond polarities do not cancel out as they might in a symmetrical molecule. Instead, they reinforce each other, leading to a significant molecular dipole where the molecule has an uneven distribution of charge—oxygen being anionic and hydrogen being cationic.

This dipolarity allows water to form hydrogen bonds with other water molecules or interact with ions, facilitating the dissolution of ionic compounds in water. In essence, the conditions that make water dipolar are its asymmetry and the varying electronegativity of oxygen and hydrogen atoms.

What is wrong with the following explanation of an experiment? When it was heated, the sample of carbon decomposed.

Answers

"Carbon" is an element. It is found in the fourth group of the periodic table, and it is a stable element. This means that it can not be decomposed via heating, because if an element were to break down, it would release its subatomic particles. The explanation was probably one used to describe the thermal decomposition of a compound into smaller compounds.

A liquid has a density of 1.17 g/cm3, how many liters of the liquid have a mass of 3.75 kg

Answers

There are 1000 cm3 in 1 liters. Hence 1 liter of the liquid would weigh: 1000 cm3 x (1.17 g/cm3) = 1170 gm and there are 1000 gm in 1 kg, so we want enough liters to have a mass of 3.75 kg x 1000 gm/kg = 3750 gm Hence, # of liters = desired mass / # of gm per liter = 3750 gm / 1170 gm/liter = 3.2051282 liters

In which direction will osmosis occur if a 1% sucrose solution is separated from a 9% sucrose solution by a differentially permeable membrane?

Answers

\I believe the direction of the osmosis will be towards the 9% sucrose solution from the 1% solution as this is the common movement from the lesser concentration to the stronger concentration in osmosis between two liquids.

A neutral atom contains 5 neutrons and 4 protons. How many electrons does it contain?

Answers

the answer is it has 4 electrons. If an atom is neutral than the electrons and protons will be equal.
Final answer:

A neutral atom with 4 protons contains 4 electrons because, in a neutral atom, the number of protons and electrons are equal.

Explanation:

In chemistry, a neutral atom is one where the number of protons and electrons are equal. Protons carry a positive charge while electrons carry a negative charge. When these charges balance out, the atom is neutral. Hence, in the case of this atom with 4 protons, it must also have 4 electrons to keep it neutral. it means that it had no overall change So, the answer is that a neutral atom with 4 protons contains 4 electrons.

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____ 75) how many molecules of ch4 are in 48.2 g of this compound?

Answers

The molar mass of CH4 is 16.0 g/mol.  

48.2 g CH4 x (1 mol / 16.0 g) = 3.01 mol CH4  

1 mol = 6.02 x 10^23 molecules  

3.01 mol CH4 x (6.02 x 10^23 molecules / 1 mol ) = 1.81 x 10^24 molecules

What kind of orbital is occupied by the lone pair electrons in caffeine molecule?

Answers

The middle nitrogen has two sigma bonds and one pi bond. You know that one p orbital is used in the double bond and two sp2 orbitals are involved in the sigma bond. This leaves one sp2 orbital for the lone pair to occupy.
Final answer:

The lone pair electrons in a caffeine molecule are located in an sp³ hybrid orbital. This classification comes from observing atoms with similar structures, such as the nitrogen atom in ammonia. Hybrid orbitals are a theoretical model to explain electron behavior, and sp³ and sp² hybridizations are common in structures with lone pair electrons.

Explanation:

The lone pair electrons in a caffeine molecule are typically found in an sp³ hybrid orbital. For instance, in the nitrogen atom of ammonia, which is structurally similar to parts of caffeine, we find three bonding pairs and a lone pair of electrons surrounding the atom. These are directed to the four corners of a tetrahedron, evincing that the nitrogen atom is sp³ hybridized, with one hybrid orbital occupied by the lone pair.

Essentially, any central atom surrounded by three regions of electron density will exhibit sp² hybridization. This includes molecules with a lone pair on the central atom and molecules with two single bonds and a double bond connected to the central atom.

It's important to realize that these hybrid orbitals are a theoretical model to describe the behavior of electrons within a molecule. So, in caffeine, we can predict where lone pairs of electrons are likely to be based on our knowledge of electron behavior and atomic structure.

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A word problem tells you that you have 27.8 moles of carbon dioxide. It asks how much that is in grams of carbon dioxide.

Luckily, they also supply a conversion factor.

1 mole of carbon dioxide is equal to 44 grams of carbon dioxide.

You set up a conversion equation in the format shown in the image.

What would you write in the space labeled 'C' in the diagram.(?)


A) 1 mole of carbon dioxide


B) 44 grams of carbon dioxide


C) 27.8 moles of carbon dioxide

Answers

we need to cancel the units

b/c would be equal to 1 to retain the same amount, remember, 1a=a


so
b/c=1mol/44g or 44g/1mol

alrighty
we waant to convert 27.8mols
so therefor a=27.8mol


27.8mol times b/c=D
we want c to be mols and b to be grams so the mols cancel

so thefor c=1mol

it would look like this:
[tex](\frac{27.8mol}{1})*(\frac{44g}{1mol}=\frac{(27.8mol)(44g)}{(1)(1mol)}=[/tex]
[tex]\frac{(27.7)(44g)}{1}[/tex]


I would write 1 mol of carbon dioxide for C (choice A)

The element sulfur has an atomic number of 16 and mass number of 32. how many neutrons are in the nucleus of a sulfur atom? if sulfur forms covalent bonds with hydrogen, how many hydrogen atoms can bond to one sulfur atom? essay

Answers

There are 16 neutrons in the nucleus of a sulfur atom. 2 hydrogen atoms can bond easily to one sulfur atom!

The nucleus of a sulfur atom wil have 16 Neutron and two Hydrogen atoms can form covalent bond with sulfur.

What is Covalent bond ?

A covalent bond is an electron exchange that causes the production of electron pairs between atoms.

Covalent bonding is a stable equilibrium of the attractive and repulsive forces between two atoms that occurs when they share electrons. Bonding pairs or sharing pairs are other names for these electron pairs.

Sulfur and hydrogen combine to form H₂S as a result (Hydrogen Sulphide).

H₂S is a moderately polar molecule due to its bent geometrical structure and the little difference in electronegativity between sulfur (2.58) and hydrogen (2.2), which results in a non-zero dipole moment.

Therefore, The nucleus of a sulfur atom wil have 16 Neutron and two Hydrogen atoms can form covalent bond with sulfur.

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