A 90-m3 basement in a residence is found to be contaminated with radon coming from the ground through the floor drains. The concentration of radon in the room is 1.5 Bq · L−1 (becquerels per liter) under steadystate conditions. The room behaves as a CMFR, and the decay of radon is a first-order reaction with a decay rate constant of 2.09 × 10−6 s−1. If the source of radon is closed off and the room is vented with radon-free air at a rate of 0.14 m3 · s−1, how long will it take to lower the radon concentration to an acceptable level of 0.15 Bq · L−1?

Answers

Answer 1

Answer: it will take 24.6467 min to lower the radon concentration to an acceptable level of 0.15Bq.L^-1

Explanation:

To calculate the required time, we make use of the formula

Cout = Coexp [ - ( 1/θ  + k ) t ] .........lets call this equation 1

where Co is the concentration of radon( 1.5Bq.L^-1 ), Cout id the allowable radon concentration( 0.15Bq.L^-1), k is the radon decay rate constant( 2.09 * 10^-6 s^-1 ), θ is the theoretical detention time and t is the time required to lower the radon concentration.

first we find θ  which is the theoretical detention time using the expression

θ   = _V / Q

_V is the volume of basement (90 m^3) and Q is the rate of free air (0.14 m^3.s^-1)

so we substitute

θ = 90 / 0.14

θ = 642.857 s

Now we substitute all our values into equation 1

Cout = Coexp [ - ( 1/θ  + k ) t ]

0.15 = 1.5exp [ - ( 1/642.857  + (2.09 * 10^-6) ) t ]

divide both LHS and RHS by 1.5

0.15/1.5  = exp [ - ( 0.001555 + 0.00000209)t ]

0.1 = exp[ - ( 0.001557)t ]

next we take the natural log of both sides

In 0.1 = In [ exp( -0.001557t )]

-2.3025 = - 0.001557t

t = 2.3025 / 0.001557

t = 1478.8053 sec

so we convert to minutes

t = 1478.8053 / 60

t = 24.6467 min

therefore it will take 24.6467 min to lower the radon concentration to an acceptable level of 0.15Bq.L^-1


Related Questions

Mass of Cups & Water 142,99 g Mass of Cups 6.76 g. what is the mass of just water?

Answers

Answer:

The mass of water is  14292.24 g

Explanation:

Given data:

Mass of cups and water = 142,99 g

Mass of cups = 6.76 g

Mass of water = ?

Solution:

Mass of cups + water = mass of cups + mass of water

Now we will rearrange the formula

mass of water = (Mass of cups + water) - mass of cups

Now we will put the values.

mass of water = 142,99 g + 6.76 g

mass of water = 14292.24 g

Thus mass of water is  14292.24 g.

Heat capacity and degrees of freedom A sealed container holds 5 moles of a diatomic gas.
A. Calculate the heat capacity of one molecule of this gas, and then the heat capacity of the whole sample, assuming all quadratic degrees of freedom are available.
B. Suppose the gas is oxygen (with molar mass 32 ! "#$). Use your result above to compute the specific heat of oxygen.
C. Look up the empirically measured specific heat of O2 gas at 300 K and compare with your answer. Are we correct in assuming all the degrees of freedom are available

Answers

Answer:

Explanation:

From the concept of equipartition energy, the energy for the respective degree of freedom is [tex]\dfrac{1}{2}K_BT[/tex]and for diatomic gas, the degree of freedom = 7

Thus, the heat capacity per molecule can be represented as:

[tex]C_v = \dfrac{7}{2} K_B[/tex]

For a heat capacity holding 5 moles of gas; we have:

= [tex]5\times \dfrac{7}{2}\times R[/tex]

Therefore;

C = [tex]5\times \dfrac{7}{2}\times 8.314[/tex]

C = 145.5

B.

The specific heat capacity = C/mass

where the mass of 5 moles of oxygen gas = 32 × 5 g

= 160 g

Thus; specific heat = 145.5/160

specific heat = 0.91 J/gK or 910 J/kg/K

C)

From the tables of specific heat at the given temperature of 300 K, we have:

0.918 J/gk and the estimated value is 0.92 J/gk

Therefore, the results are very near when compared to one another.

The branch of science in deals with chemicals and bonds is called chemistry. The reaction which requires heat to complete the reaction is called an endothermic reaction.

The correct answer to the question is option C has he empirically measured the specific heat of O2 gas at 300 K and compared it with your answer. Are we correct in assuming all the degrees of freedom are available?

Heat capacity?Heat capacity or thermal capacity is a physical property of matter, defined as the amount of heat to be supplied to an object to produce a unit change in its temperature. The SI unit of heat capacity is joule per kelvin. Heat capacity is an extensive property.

The heat capacity is as follows:-

[tex]C_v =\frac{7}{2}Kb \\\\=5*\frac{7}{2} *R\\\\=5*\frac{7}{2}*8.314\\\\C= 145.5[/tex]

The specific heat capacity = C/mass, where the mass of 5 moles of oxygen gas = 32 × 5 g

= 160 g

Thus; specific heat = 145.5/160

specific heat = 0.91 J/gK or 910 J/kg/K.

Hence, the correct answer to the question is option C.

For more information about the question, refer to the link:-

https://brainly.com/question/1453843

What is the difference between a physical change and a chemical change?

Answers

Explanation:

Hey there!

The differences between physical chamge and chemical change are;

The change is the temporary change in which no new substances are formed. But chemical change are the change in which new substances are formed. Physical change are reversible. But chemical change are irreversible. No new substances are formed with new properties in physical change. But in chemical change new substances with new properties are formed.

Hope it helps...

what is the answer to these please help

Answers

Answer: 3.0 g/cm3

Problem 1: You have a rock with a volume of 15cm3 and a mass of 45 g. What is its density? Density is mass divided by volume, so that the density is 45 g divided by 15cm3, which is 3.0 g/cm3

Explanation: The top question answer is 3.00 g/cm3 .... I hope this helps!!! (PLEASE RATE ME AS BRAINLY)

Explain why the following medicines should not be thrown down the drains

Answers

because medications contains chemicals, it would dissolve into the water and not only would it pollute the water, it could flow out into areas where people are exposed to these waters.

A car travels at a speed of 54 km/hr. How many meters will it travel in 1 second?

Answers

Answer: 15 METERS IN A SECOND

Explanation: 54km = 54000m    54000m / 60 = 900    900/60 = 15

15 meters a second is the correct answer

How many protons, neutrons, and electrons are present in 24Mg+2?

Answers

Answer:

Explanation:

For the Magnesium Ion, ([tex]Mg^{+2}[/tex])

Electrons:  10

Protons: 12

Neutrons: 12

A rock is an
of minerals.

Answers

Rocks are minerals, made up of many minerals. There are 3 types of rocks which are Igneous, Sedementary, and Metamorphic.

Answer:

a rock can be composed by many minerals

Explanation:

these are some tipes of rocks

igenious

metamorphic

sedimentary

(if this is not wat u want then tell me pls so i can help :)

What is the final step of a scientific investigation?

Answers

Answer:

Conclusion

Explanation:

If you lived in Flagstaff, Arizona, how much salt (NaCl) would you have to add to your spaghetti water to get it to boil at 100 oC. Assume you are using 2 quarts of water in your spaghetti pot. Report the amount of salt in units you might actually be able to measure in your kitchen. If you have a scale that shows grams that will be okay. (Hint: To get started find out the actual boiling point of water in Flagstaff.) It is at an elevation above 7000 ft.)

Answers

Answer:

Explanation:

This question is both theoretical and practical. While the theoretical aspect will be detailed fully here, the practical aspect will be provided as a form of guidance.

Water generally boils at 100°C when altitude (in feet) is 0. One of the colligative properties that occurs when salt is added to water is that there is a boiling point elevation(meaning an increase in boiling point). For instance, if 20g of salt is added to about 5.3 quarts of water, the boiling point of water will increase from 100°C to 100.04°C.

However, when the altitude/elevation of a place is about 7000 ft (like in Flagstaff, Arizona), water will boil at 95.3°C. In order to get 2 quarts of water to boil at 100°C in Flagstaff;

20g causes an increase in boiling point by 0.04°C (100°C to 100.04°C) in 5.3 quarts of water

What gram will increase the boiling point by same 0.04°C in 2 quarts

20g ⇒ 5.3

X ⇒ 2

5.3 X ⇒ 40g

X = 40 ÷ 5.3

X = 7.55g

Hence, 7.55g will cause an increase in boiling point by 0.04°C (from 100°C to 100.04°C) in 2 quarts of water

What mass of salt will increase the boiling point by 4.7°C (95.3°C to 100°C)

7.55g ⇒ 0.04

X ⇒ 4.7

X × 0.04 ⇒ 7.55 × 4.7

0.04X ⇒ 35.5

X = 887.5g

Hence, in order for the spaghetti water to boil at 100°C, 887.5g of salt needs to be added.

For the practical part of the question, some Kitchen scales have an accuracy of .25kg (250g) and some have an accuracy of .2 kg (200g) and some have an accuracy of .5kg (500g). The one your kitchen has will determine the amount of salt that you can measure. For example, if your kitchen scale/balance has an accuracy of 250g/0.25kg, then you can only measure 750g of the 887.5g (as the rest is 137.5g, which is not up to 250g of the scale's accuracy) of the required salt measurement. However, if you have a digital balance that can measure up to 2kg/2000g in one decimal place, that's the perfect balance to measure this salt.

3.65 gram of hcl is dissolved in 180 gram of water. Find the total number of molecules of hydrogen​

Answers

Answer:

[tex]Molec_{\ H_{tot}}=1.206x10^{25}molec[/tex]

Explanation:

Hello.

In this case, taking into account that HCl has one molecule of hydrogen per mole of compound which weights 36.45 g/mol, we compute the number of molecules of hydrogen in hydrochloric acid by considering the given mass and the Avogadro's number:

[tex]molec_{\ H}=3.65gHCl*\frac{1molHCl}{36.45gHCl} *\frac{1molH}{1molHCl}*\frac{6.022x10^{23}molec_\ H}{1molH} =6.03x10^{22}molec[/tex]

Now, from the 180 g of water, we see two hydrogen molecules per molecule of water, thus, by also using the Avogadro's number we compute the molecules of hydrogen in water:

[tex]molec_{\ H}=180gH_2O*\frac{1molH_2O}{18gH_2O} *\frac{2molH}{1molH_2O}*\frac{6.022x10^{23}molec_\ H}{1molH} =1.20x10^{25}molec[/tex]

Thus, the total number of molecules turns out:

[tex]Molec_{\ H_{tot}}=6.03x10^{22}+1.20x10^{25}\\\\Molec_{\ H_{tot}}=1.206x10^{25}molec[/tex]

Regards.

Suppose a 20.0 g gold bar at 35.0°C absorbs 70.0 calories of heat energy. Given that the specific heat of gold is 0.0310 cal/g °C, what is the final
temperature of the gold bar?

Answers

We know, change in temperature is given by :

[tex]T_2-T_1=\dfrac{q}{mC_p(Gold)}[/tex]

Putting all given values, we get :

[tex]T_2-T_1=\dfrac{70\ cal}{20\ g\times 0.0310\ cal/g^o\ C}\\\\T_2-T_1=112.90^oC\\\\T_2-35^oC=112.90^oC\\\\T_2=(112.90+35)^oC\\\\T_2=147.9^oC[/tex]

Hence, this is the required solution.

Which of the following is NOT an example of a type of arrangement?

Answers

Can you give us the answer choices?
What are the choices???

Non example of color change

Answers

Answer:

ion now i jus want points sorry

Explanation:

Help me pretty pls and asfap

Answers

evaporation because the water is coming out of the water into the air

Use the periodic table in the tools bar to complete the electron configurations for the following elements:

Lithium (Li): 1sA2sB

A =
B =

Answers

Answer:

A= 2, B= 1

Explanation:

In the given electronic configuration of Lithium, the values of A and B are 2 and 1, respectively.

The electronic configuration of an atom describes how its electrons are distributed among the various energy levels and orbitals. It is typically represented using a series of numbers and symbols that indicate the number of electrons in each orbital.

To complete the electron configuration for lithium (Li), we'll refer to the periodic table:

The atomic number of lithium is 3, which means it has 3 electrons. The electron configuration for lithium can be determined as follows:

[tex]1s^2 2s^1.[/tex]

In this case,

the first energy level (n = 1) contains 2 electrons ( represented as [tex]1s^2[/tex]), and the second energy level (n = 2) contains 1 electron ( represented as [tex]2s^1)[/tex].

So, for lithium (Li), the completed electron configuration is:

[tex]1s^2 2s^1.[/tex]

Therefore, the values of A and B in the given electronic configuration of Lithium are A = 2, B = 1, respectively.

Learn more electronic configuration about here:

https://brainly.com/question/29157546

#SPJ2

Which of the following observations is usually not evidence of a chemical change ?
A. Change of shape
B . Formation of a precipitate
C.Giving off of a gas
D.giving off heat and/or light

Answers

Answer:

D

Explanation:

Have a nice day

Among the following observations which is usually not evidence of a chemical change is change of a shape.

What is chemical change?

Chemical changes will occur when the composition of the substance is changes internally or converted into any new product.

Change of shape is an example of physical change as it is not essential if shape changes then chemical properties also changes.Formation of a precipitate is a chemical process because in this process any new substance is formed.Giving off a gas is also a chemical process as in this change an extra product is released.Giving off heat or light is also a chemical change because this heat will be calculated as a energy.

So, change of shape is not a chemical change.

To know more about chemical change, visit the below link:

https://brainly.com/question/26018275

What should be done in order to decrease the gravitational force between two objects?


Increase the distance between the two objects!!!!!!!! pls help me hurry

Answers

Explanation:

The gravitational force between two objects is given by :

[tex]F=G\dfrac{m_1m_2}{d^2}[/tex]

Where

G is universal gravitational constant

d is the distance between two masses

The gravitational force is inversely proportional to the distance between objects. It means when the distance between objects increases, gravitational force decreases and vice versa. To decrease the gravitational force between two objects, distance must increase.

Answer:

You have to increase the distance between two objects.

Explanation:

I took the K12 quiz and this was the correct option.

Hope I helped

The chemical name for sand is silicon dioxide. The two elements found in a sample of this sand are and .

Answers

Answer:

silicon and oxygen

Explanation:

silicon dioxide means silicon+ 2 oxygen

The nonbonding or van der Waals radius is half of the_______ internuclear distance when two_______ atoms collide. So, radii calculated from the van der Waals equation are nonbonding radii. According to the kinetic-molecular theory, ideal-gas particles undergo perfectly _______ collisions, in keeping with the definition of nonbonding radii.

Answers

Answer:

Half

Non-covalently bonded

Elastic collisions

Explanation:

When two atoms are close to each other and are not bonded to each other, the distance between them is the Van Der Waals radius of the compound.

When atoms of gases are not bonded together, they collide with each other in an elastic manner. Kinetic energy and linear momentum are conserved.

What is needed to remove a phosphate from ATP?

Answers

Answer:

A water molecule

Explanation:

The removal of a phosphate molecule from ATP to form ADP is a hydrolysis reaction. Hydrolysis reactions require water and release energy.

The converse reaction - when a phosphate is added to a molecule of ADP to form ATP - releases water and requires energy.

Gallium (Ga) consists of two naturally occurring isotopes with masses of 68.926 and 70.925 amu.
Part A. How many protons and neutrons are in the nucleus of isotope with mass of 68.926 amu? Express your answers as an integers. Enter your answers numerically separated by a comma. p, n = ______.
Part B. How many protons and neutrons are in the nucleus of isotope with mass of 70.925 amu? Express your answers as an integers. Enter your answers numerically separated by a comma. p, n = _______.
Part C. Write the complete atomic symbol for each, showing the atomic number and mass number. Express your answers as isotopes separated by a comma.

Answers

Answer:

Part A. p, n = 31, 38.

Part B. p, n = 31, 40.

Part C. [tex]^{69}_{31}Ga,\ ^{71}_{31}Ga[/tex]

Explanation:

Hello,

Part A.

In this case, since the atomic number for gallium is 31, we can say that the first isotope has also 31 protons and the neutrons are computed by using its molar mass as a whole number (69):

[tex]neutrons=mass-protons=69-31=38[/tex]

Thus, result is p, n = 31, 38.

Part B.

In this case, since the atomic number for gallium is 31, we can say that the second isotopes has also 31 protons and the neutrons are computed by using its molar mass as a whole number (71):

[tex]neutrons=mass-protons=71-31=40[/tex]

Thus, result is p, n = 31, 40.

Part C.

Finally, the isotopes as shown as:

[tex]^{69}_{31}Ga,\ ^{71}_{31}Ga[/tex]

Best regards.

Physical and chemical properties of iron.

pls help idek what the question means

Answers

Explanation:

Iron, like other metals, conducts heat and electricity, has a luster, and forms positive ions in its chemical reactions. Pure iron is fairly soft and can easily be shaped and formed when hot. Its color is silvery white. Iron is easily magnetized.

Answer:

physical properties:

1. Pure iron greyish white in colour  

2. Iron is a heavy metal. Its density is 7.86 g cm-3.

3. Its melting point is 1539`C.

4. It is highly malleable and ductile.

5. It is ferromagnetic, that is, it becomes strongly magnetised when placed in a magnetic field.

6. It has high tensile strength.

chemical properties:

1. Iron is the 4th most abundant element in the Earth’s crust, and it is an integral chemical element found in the human body.

2. It is placed in the first transition series of the periodic table, and is known to be an important transition metal.

3. It mainly exists in the +2 and +3 oxidation states.

4. Iron (II) compounds are known as ferrous, while iron (III) compounds are known as ferric.

5. Iron (II) compounds are light green in color, while iron (III) compounds are orange/brown in color.

6. Iron is the only naturally occurring substance that has magnetic properties. Magnetism is, in fact, one of its most remarkable properties.

hope it helps :)))

Que es magnitud, los tipos de magnitud y dar ejemplos de cada una de ella

Answers

Search Results
Featured snippet from the web
El Sistema Internacional de Unidades se basa en dos tipos de magnitudes físicas: Las siete que toma como unidades fundamentales, de las que derivan todas las demás. Son longitud, tiempo, masa, intensidad de corriente eléctrica, temperatura, cantidad de sustancia e intensidad luminosa.

How did the nucleus evolve through time?

Answers

Answer:

The nucleus represents a major evolutionary transition. As a consequence of separating translation from transcription many new functions arose, which likely contributed to the remarkable success of eukaryotic cells. Here we will consider what has recently emerged on the evolutionary histories of several key aspects of nuclear biology; the nuclear pore complex, the lamina, centrosomes and evidence for prokaryotic origins of relevant players.

What is the volume of the water in this graduated cylinder?*

Answers

The answer is 4.4mL.

Which metal is most likely to form more than one kind of positively charge ion?

Answers

Answer:

nickel (Ni)

Explanation:

Which one is the correct representation in scientific notation for 0.0000535)

Answers

Answer: [tex]5.35* 10^-^5[/tex]

Explanation:

You gotta move the decimal place over 5 places. That means the power will be -5

Answer:

5.35 × 10⁻⁵

This is the representation for 0.0000535 in scientific notation, because you must move it 5 spaces. Hope this helps!

The complete periodic table of the elements with columns color-coded.
The element aluminum (Al) is outlined in red on the periodic table.



Which period number is aluminum?




Which group number is aluminum in?

Answers

Answer:

peroid num= 3

group num=13  (boron Group)

Explanation:

Answer:

period

3

group

13

he electrical leads from the Constant Current System are damaged slightly, leading to a small "short-circuit" that results in 10% of the measured current passing through the short circuit without going through the metal strips. The current displayed (and hence the value of the integral) are based on the total current, but only 90% of this actually leads to dissolution of metal. What effect would this have on your experimental value of Avogadro's Number? (Note that you complete your calculations assuming that 100% of the current is applied to dissolving the metal strip.)

Answers

Answer:

The Avogadro's Number will reduce in value

Explanation:

From the question we are told that

The current pass through the short circuit is [tex]0.1 *I[/tex]

Here I is the total current

Generally Avogadro's Number is mathematically represented as

[tex]N_A = \frac{Q}{ 2 * n * e}[/tex]

Here Q is the charge which is mathematically represented as

[tex]Q = It[/tex]

        n  is number of moles

        e is the charge on an electron

 So

       [tex]N_A =  \frac{I * t }{ 2 *  n * e}[/tex]

Now when the current decreases from 100% to  90% due to the short circuit . this will also reduce  the no of moles of metal  dissolved hence from the equation we see that the Avogadro's Number will reduce

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