Calculate the formula unit mass of NaHCO3. (At. Mass of Na=23u, H=1u, C=12u, O=16u)

Answers

Answer 1

Answer:

Formula unit mass of [tex]NaHCO_{3}[/tex] is 84 u.

Explanation:

Formula unit mass can be calculated by the adding individual element mass in the formula of the compound.

The given compound - [tex]NaHCO_{3}[/tex]

From the given the atomic mass of each element in the given compound is as follows.

Atomic mass of sodium (Na) = 23 u

Atomic mass of Hydrogen (H) = 1 u

Atomic mass of carbon (c) = 12 u

Atomic mass of oxygen (O) = 16 u

The number of atoms in the formula:

1 sodium atom =23 u

1 hydrogen atom = 1 u

1 carbon atom =  12 u

3 oxygen atom = 3 X 16 u = 48 u

_____________________________

Formula mass = 84 u

_______________________________

Therefore, Formula unit mass of [tex]NaHCO_{3}[/tex] is 84 u.


Related Questions

The first four planets in our solar system are rocky. How does that relate to Newton’s law of universal gravitation?

Answers

Explanation:

According to Newton law of gravity, the strength of gravitational pull between two objects is related to their masses, directly, and inversely by the distance between them;

F = G * (M₂ – M₁) / d where;

F – the force of gravity

G – gravitational constant

M₂ – the mass of one object

M₁ – the mass of the other object

d – the distance between the two objects

The rocky planets have a higher mass than the gas planets hence will be strongly ‘feel’ the gravitational pull of the star in the solar system revolves about.  This is why rocky planets are closer to their star while gas planets are towards the outer edges.

Learn More:

For more on gravity check out;

https://brainly.com/question/9934704

https://brainly.com/question/13418722

#LearnWithBrainly

where would you expect to find the smallest atoms?​

Answers

Answer:

Because of these two trends, the largest atoms are found in the lower left corner of the periodic table, and the smallest are found in the upper right corner (Figure 2.8.

Explanation:

comment how it helps

How do you know the strength of oxidizing/reducing agents in questions such as these ones? I know the answer for 37 is D but I don’t know why

Answers

Answer:

[tex]Pd^{2+}[/tex] is the strongest oxidizing agent .

Explanation:

It is said in the question that given reactions are spontaneous.

As [tex]Np^{3+}[/tex] oxidizes Ce to  [tex]Ce^{3+}[/tex] we can say that  [tex]Np^{3+}[/tex] is a stronger oxidizing agent than  [tex]Ce^{3+}[/tex].

Similarly , [tex]Cd^{2+}[/tex] is stronger than  [tex]Np^{3+}[/tex] (from first reaction).

From second reaction we can see that  [tex]Pd^{2+}[/tex] is stronger than  [tex]Cd^{2+}[/tex].

The order of oxidizing strength is  [tex]Pd^{2+}[/tex] >  [tex]Cd^{2+}[/tex] >  [tex]Np^{3+}[/tex] >  [tex]Ce^{3+}[/tex] .

Juan inflates a balloon and then releases its end to let the balloon go free as air comes out. The balloon then flies around the room.

Answers

Answer:

This is because of Newton's third Law of motion :

For every action there is equal and opposite reaction .

Explanation:

When air is squeezed out from the balloon , the potential energy (Shape of balloon) is converted into Kinetic energy. This kinetic energy is possessed  by fast moving air particles coming out from balloon.These air particles are pushed backward,so according to Newtons third law , the balloon should fly upward.

[tex]F_{AB} = - F_{BA}[/tex]

Answer:

According to Newton’s third law of motion, the balloon is pushed forward as the air is forced out.

Explanation:

Action, Reaction

Surrounding ions with water molecules is known as

Answers

Answer:

Hydration  

Explanation:

In water, ions are surrounded by a sphere of water molecules called a hydration shell. The process of forming this shell is called hydration.

How did early chemists determine which substances were elements?
(A) They knew how many protons were in the atoms.
(B) They knew how many electrons were in the outer shell of every atom.
(C) They knew what substances were mixtures.
(D) They knew which substances could not be broken down by chemical means.

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

The correct answer would be option D

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

They knew which substances could not be broken down by chemical means.

By definition, an element is the smallest part of a substance which has independent existence and can not be broken down by chemical means.

We must remember that the early chemists didn't have the luxury of the sophisticated equipment we have today many of which can literally "see through" a substance.

The had to depend on rather crude methods and instruments. Amidst all that, they still knew which substances could not be broken down by chemical means and those that could not. Those that could not be broken down by chemical means were labelled as elements and characterized.

Learn more: https://brainly.com/question/14156701

What is the answer to this chemthink?

Answers

Answer:

1 and 2

Explanation:

Releasing some of the gas would reduce the amount of atoms inside the container therefore reducing pressure.

Cold temperature would slow down the particles in the container leading to fewer collisions per second which translates to less pressure

if 2.4g of magnesium burns in oxygen. calculate (I) the mass of magnesium oxide formed (ii) volume of oxygen at stp.​

Answers

Answer: i. 4g of MgO

ii. 1.12dm3

Explanation:Please see attachment for explanation

during photosynthesis water and carbon dioxide react to from oxygen and glucose how do the products differ from the reactants

Answers

Answer:

Those are the waste products

Explanation:

Glucose and oxygen are produced as a waste product as a result of photosynthesis

Which ph range is ideal for nitrogen in corn crops

Answers

The desirable soil pH for corn ranges from 5.8 to 7.0.

The amount of space matter takes up is its volume
True
False​

Answers

True

Explanation: MATTER IS ANYTHING THAT HAS VOLUME AND MASS. ALL MATTER TAKES UP SPACE. THE AMOUNT OF SPACE TAKEN UP, OR OCCUPIED, BY AN OBJECT IS KNOWN AS THE OBJECT'S VOLUME.
Final answer:

The amount of space matter takes up is not its volume.

Explanation:

False. The amount of space matter takes up is its volume, which is a concept in Physics. Volume is measured in cubic units, such as cubic meters or cubic centimeters, depending on the scale. It can be calculated by multiplying the length, width, and height of an object or by using specific formulas for different shapes.

Learn more about Volume here:

https://brainly.com/question/31946306

#SPJ6

4. A student is doing experiments with CO2(q) . Originally a sample of the gas is in a rigid container at 299 Kand 0.70 atm. The student increases the temperature of the CO2(g) ) in the container to 425 K the CO2(g)mo molecul (b) Calculate the pressure of the CO - (g) ) in the container at 425 K (C) In terms of kinetic molecular theory, briefly explain why the pressure of the CO2(g) in the container changes as it is heated to 425 K. (d) The student measures the actual pressure of the CO2(g) in the container at 425 K and observes that it is less than the pressure predicted by the ideal gas law . Explain this observation ,

Answers

Answer:

b. 0,99atm

c. Answer is in the explanation

d. Answer is in the explanation

Explanation:

b. Using Gay-Lussac's law:

P₁T₂ = P₂T₁

P₁: 0,70 atm; T₂: 425K; P₂: ??; T₁: 299K

0,70atm×425K / 299K = 0,99 atm

c. Using kinetic molecular theory, the increasing of temperature increases the kinetic energy of gas particles and if kinetic energy increases, the pressure increases. That means the increasing of temperature increases the pressure in the system.

d. Now, the increases in kinetic energy of gases increase the collisions betwen particles. As these intermolecular forces that are not taken into account in ideal gas law, the observed pressure will be different to the pressure predicted by ideal gas law.

I hope it helps!

The pressure of the gas increases from 0.70 atm to 0.99 atm as the temperature is increased. The interaction of the gas molecules causes the pressure of the gas to deviate from the predicted value.

From the information in the question;

Initial temperature(T1) =  299 K

Initial pressure (P1) = 0.70 atm

Final pressure (P2) = ?

Final temperature (T2) = 425 K

Given that;

P1/T1 = P2/T2

P1T2 = P2T1

P2 = P1T2/T1

P2 = 0.70 atm × 425 K/ 299 K

P2 = 0.99 atm

In terms of the kinetic molecular theory, we know that the pressure of a gas has to do with its bombardment of the walls of the container. When the temperature of the gas is increased, the gas molecules become more energetic and bombard the walls of the container more frequently hence the pressure of the gas increases.

The particles of an ideal gas do not to interact with each other according to theory. However, real gases molecules interact with each other. Hence, actual pressure of the CO2(g) in the container at 425 K is less than the pressure predicted by the ideal gas law. More significant particle interaction decreases the pressure of the gas compared the value predicted based on the ideal gas law.

Learn more: https://brainly.com/question/4147359

Would it be Hydroelectric?

Answers

Answer:

A. Biomass

Explanation:

Biomass must be burned to be useful as a fuel.

The combustion of biomass produces carbon dioxide, which is a greenhouse gas.

B, C, and C are wrong. Once these energy sources are built, they produce no greenhouse gases.

23. Which of the following describes ionic bonds?
a. lonic bonds are weak bonds between two water molecules
Electrons are shared between two atoms
C. Electrons are transferred from one atom to another
d. Protons are transferred from one atom to another

Answers

Answer:

b.Electrons are shared between two atoms.

C. Electrons are transferred from one atom to another

As the model in the picture shows, I am confused that why the work by gas during the expansion is -P times deltaV (P represents the external pressure). In my view, this should be the work done on the gas by environment. And the work done by gas should be the pressure of the gas (i.e. the internal pressure) which is changed by the volume of gas. (PS. The picture is from a chapter about thermochemistry in my General Chemistry textbook)

Answers

Answer:

Here's what I get  

Explanation:

Assume that the piston is weightless and frictionless and has an area of 0.01 m², and that the cylinder contains 0.001 m³ of air at 1 bar.

Then the gas is slowly heated, making the gas expand and force the piston up until the volume is 0.002 m³.

The gas is doing work, because it is pushing back against the pressure of the atmosphere in order to expand. The sign is negative, because of the thermodynamic convention that anything going out of the system is negative.

How much work has the gas done?

w = F × d, and

p = F/A, so

F = p × A. Then

w =p × A × d

A × d is the change in volume (ΔV) swept out by the piston as the gas expands. Thus

w = -pΔV (negative sign because of the convention)

= -1 × 10⁵ Pa × 0.001 m³ =-100 Pa·m³ = -100 J

The gas has done 100 J of work by expanding against an external pressure.

Answer:

actually the sign convention in physics and chem varies:

Explanation:

In chem , work done by the system (gas) is taken as negative.

Work done on the system (gas) is taken as positive.

this is because when the gas does work , its internal energy decreases and thus it looses energy upon doing work , so it is taken as negative.  

delta V is the change in volume.

P is the ext. pressure.

Now , to make it simple , when external pressure is applied to the gas , it gets compressed and thus it (gas) does work by exerting more pressure on the walls of the cylinder, which is why it is -P.

What is the wavelength of a light wave if the frequency of the wave is 7.1 x 10^14 s^-1 (Hz)?

Answers

Answer:

Wavelength =  [tex]4.225\times 10^{-7}\ m[/tex].

Explanation:

Given:

The wave is a light wave. So, speed of light wave is, [tex]c=3\times 10^8\ m/s[/tex]

The frequency of the light wave is, [tex]f=7.1\times 10^{14}\ s^{-1}[/tex]

Let the wavelength of the light wave be [tex]\lambda[/tex].

Now, velocity of a wave is related to its frequency and wavelength as:

[tex]c=f\lambda[/tex]

Now, rewriting the above formula in terms of wavelength [tex]\lambda[/tex], we have

[tex]\lambda=\dfrac{c}{f}[/tex]

Plug in [tex]c=3\times 10^8\ m/s[/tex] and  [tex]f=7.1\times 10^{14}\ s^{-1}[/tex]. Solve for [tex]\lambda[/tex]. This gives,

[tex]\lambda=\dfrac{3\times 10^8\ ms^{-1}}{7.1\times 10^{14}\ s^{-1}}\\\\\lambda=4.225\times 10^{-7}\ m[/tex]

Therefore, the wavelength of the light wave is [tex]4.225\times 10^{-7}\ m[/tex].

How many atoms are there in 18 grams of silver

Answers

Answer:

Number of atoms= [tex]1.004\times 10^{23}[/tex] atoms

Explanation:

1 mole is the mass of substance which contain [tex]6.022\times 10^{23}[/tex]

particles of that substance.Its symbol is 'n'.

Here the quantity[tex]6.022\times 10^{23}[/tex] is called Avogadro number and it is denoted by [tex]N_{0}[/tex].

Mass of the substance in grams is called is molar mass.It is denoted by'M'

Moles can be calculated by :

1) [tex]n=\frac{given\ mass}{molar\ mass}=\frac{w}{M}[/tex]

2)[tex]n=\frac{Number\ of\ particles}{Avogadro\ number}=\frac{N}{N_{0}}

[/tex]

compare 1) and 2) formula, we get

[tex]\frac{N}{N_{0}=\frac{w}{M}[tex].................(i)

For silver (Ag), M=107.86 g

w=18 g  (given) and [tex]{N_{0}=6.022\times 10^{23}[/tex]

Put the values of w,M and [tex]{N_{0}[tex] in equation (i) and solve for N

[tex]\frac{N}{6.022\times 10^{23}}=\frac{18}{107.86}[/tex]

[tex]N=\frac{18}{107.86}\times 6.022\times 10^{23}[/tex]

[tex]N= 1.004\times 10^{23}[tex]

Hence Number of atoms of silver= [tex]1.004\times 10^{23}[/tex] atoms

if a balloon had an initial volume of 100ml at pressure of 3.2 atm and the pressure was decreased to 1.9 atm, what would the new volume of the balloon be assuming constant temperature

Answers

Answer:

168.4 mL

Explanation:

Data Given

initial volume V1 of gas in balloon = 100 mL

initial pressure P1 of gas in balloon = 3.2 atm

final pressure P2 of gas in balloon = 1.9 atm

final volume V2 of gas in balloon = ?

Solution:

This problem will be solved by using Boyle's law equation at constant Temperature.

The formula used

                  P1V1 = P2V2

As we have to find out Volume, so rearrange the above equation

                  V2 = P1V1 / P2

Put value from the data given

V2 = 100 mL x 3.2 atm / 1.9 atm

V2 = 168.4 mL

So the final Volume of gas in baloon =  168.4 mL

_____ energy is required to remove an electron from an atom.
Charging
Electrical
Olonization
Electron​

Answers

Answer:

The correct answer is Ionization.

Explanation:

Ionization energy can be defined as minimum amount of energy that is required to remove an electron from the outer orbital or the valence orbital of an atom.

      Ionization energy depends on the size of the atom.If the atom is small in size that means the electrons of outer orbital are strongly attracted by the positively charged nucleus.As a result more energy is required to remove an electron from the outermost orbital of that atom.

  As a result the ionization energy of that atom will be high.

Which is a type of protein?

A.) Triglyceride

B.) Nucleotide

C.) Disaccharide

D.) Enzyme

HELP!!!

Answers

D. Enzyme

Because it contains amino acids which are the building blocks of proteins. Additionally the other answer choices are different macromolecules

Answer:

enzyme because it is made of protein

Which of the following BEST describes the process of evolution by natural selection?
A. a rapid change of the traits of a species over time
B. a gradual change of the traits of a species over time
C. a rapid change of the traits of an organism over time
D. a gradual change of the traits of an organism over time

Answers

Answer:

The correct option is B)  a gradual change of the traits of a species over time

Explanation:

The theory of natural selection explains the gradual changes which occur in the population of a species over time. According to natural selection, those organisms which are better adapted to live in an environment survive and pass on their traits to their offsprings. As a result, the traits of a species tend to change over time through the process of evolution. Evolutionary changes do not occur rapidly, instead, they can take many years to occur.

Periodicity is best defined as:
the fact that elements increase in atomic mass in a regular way
the repeating nature of physical and chemical properties with atomic numbe
the regular growth of atomic size with atomic mass
the consistent decrease of nuclear charge with atomic mass
the repeating nature of atomic nuclear structure

Answers

Answer:

The repeating nature of physical and chemical properties with atomic number

Explanation:

Periodic table is designed in a way in which elements are divided in groups and periods. Periods are rows and groups are columns. The elements in groups share similar properties due to the same number of valence electrons they have. Going along each period, we'll always get back to the same group at some point. This is why we have periodic trends, the trends repeat gradually when we finally reach the same group we're analyzing.

Physical and chemical properties vary periodically. For example:

atomic radius decreases from left to right along the period;ionization energy increases from left to right along the period;electronegativity increases from left to right along the period;metallic properties decrease from left to right along the period.

Electron pairs exist in many positions, or ____, around the a central atom. How is this number determined?

Answers

The number of electron pairs around a central atom determines the molecule's molecular geometry, which is based on the VSEPR theory. By counting the total electron pairs (both bonding and lone pairs), one can use a reference table to predict the geometry of the molecule.

The number of electron pairs around a central atom is determined by the molecule's Lewis structure, which includes both bonding pairs (BP) and lone pairs (LP). This number is often referred to as the Steric Number (SN) or Electron Group Geometry. The basic molecular geometry depends on the count of these electron pairs and their arrangement to minimize repulsions, following a specified shape determined by the VSEPR (Valence Shell Electron Pair Repulsion) theory.

To determine the molecular geometry, one must:

Count the total number of electron pairs (bonding and lone) around the central atom.

Determine the geometry of the molecule using a reference table that correlates the number of electron pairs to geometrical shape.

For example, a molecule with three electron groups around the central atom which includes two double bonds and one lone pair initially adopts a trigonal planar arrangement to minimize repulsion. However, the presence of a lone pair can adjust the actual molecular geometry from this initial layout.

What powdery mineral is hazardous when airborne? Mercury, Radon, asbestos or uranium

Answers

Answer: Uranium

Explanation:

A plutonium atom undergoes nuclear fission. Identify the missing element in the nuclear equation.

Answers

Answer:

[tex]^92^{234}U[/tex]

Explanation:

Plutonium is a heavy atom with a high mass to neutron ration (N/Z). Atoms with Z > 50 and an M/Z ratio of 1.25 or above tend to decay in a nuclear fission in which they release alpha particle, also known as a helium nucleus.

Let's say that our products are alpha particle and some unknown nucleus X with a mass of M and an atomic number of Z. Then our nuclear decay equation becomes:

[tex]_94^{238}Pu\rightarrow _2^4\alpha + _Z^M{X}[/tex]

In order to identif X, we need to apply the law of mass conservation first. That is, the mass of reactants should be equal to the mass of products:

[tex]238 = 4 + M\therefore M = 238 - 4 = 234[/tex]

Similarly, apply the law of charge conservation to identify Z:

[tex]94 = 2 + Z\therefore Z = 92[/tex]

Z = 92 corresponds to uranium, meaning X is:

[tex]^92^{234}U[/tex]

how many chemical bonds can a single atom of these elements form: hydrogen, carbon, nitrogen

Answers

Answer:

Covalent Bonds

Explanation:

Nitrogen and phosphorus each have five electrons in their outer shells, which can hold up to eight electrons. Nitrogen atoms can form up to four covalent bonds.

Oxygen forms two bonds, nitrogen three bonds, hydrogen one bond, and carbon four bonds. When creating Lewis structures at the beginning chemistry level, these four components are frequently employed.

What  is lewis structure ?

The diagrams known as Lewis structures, often referred to as Lewis dot formulas, Lewis dot structures, electron dot structures, or Lewis electron dot structures, depict the interactions between the atoms in a molecule as well as any lone pairs of electrons that may be present.

Lewis structures, often called Lewis-dot diagrams, depict the bonding between a molecule's atoms and its lone pairs of electrons. When used in conjunction with hybrid orbitals, Lewis structures can also be helpful in predicting molecular geometry.

Four covalent bonds are possible for carbon. Chemical bonds known as covalent bonds are formed between nonmetal. Two atoms share a pair of electrons in a covalent link.

Thus, When creating Lewis structures at the beginning chemistry level, these four components are frequently employed.

To learn more about lewis structure, follow the link;

https://brainly.com/question/13795335

#SPJ2

A student has two identical glasses of milk except that the temperature of the milk in one glass is 40ºF
and the temperature of the milk in the other glass is 80ºF.
At which temperature does the milk have more thermal energy? Explain

Answers

Answer:

[tex]80^oF[/tex]

Explanation:

We may only compare thermal energy of the two objects when they have identical masses. In this case, this is true: the two objects have equal masses.

The first glass of milk is at a lower temperature, while the second glass of milk is at a higher temperature. Remembering the second law of thermodynamics, heat spontaneously flows from hotter objects to colder ones. This means, the higher the temperature of an object, the greater the thermal energy.

Think about it this way: the higher the temperature, the higher the kinetic energy of the particles (since [tex]E_k = \frac{3}{2}kT[/tex]). The greater the kinetic energy, the greater the velocity. This means a greater amount of energy will be transferred by the object of the same mass but with a higher temperature, as particles are more likely to collide.

39. Which of the following conversion factors would you use to change 18 kilometers to meters?
A. 1000 m/1 km
B. O1 km 1000 m
C. 100 m 1 km
D. 1 km 100 m

Answers

Answer: A

Explanation:

In an experiment, a student wants to increase the rate of a reaction that involves gases. Which change to the re
accomplish this?
O
Increase the volume to dec ease pressure and to increase concentration.
Increase the volume to increase pressure and to decrease concentration.
Decrease the volume to decrease pressure and to increase concentration
Decrease the volume to increase pressure and to increase concentration.
O
O

Answers

Answer:

Decrease the volume to increase pressure and to increase concentration.  

Explanation:

Increasing the concentration will increase the number of collisions per second and therefore the rate of reaction.

A and B are wrong. You want to decrease the volume.

C is wrong. According to Boyle's Law, you can't decrease both the volume and the pressure at the same time.

Which type of rock is most likely to form because of high heat and pressure?

igneous
magma
sediment
metamorphic

Answers

Answer:

metamorphic

Explanation:

Metamorphic rocks form from heat and pressure changing the original or parent rock into a completely new rock. The parent rock can be either sedimentary, igneous, or even another metamorphic rock. -

samikshajadhav16

Answer:

Explanation:

D

Other Questions
The school band sold cupcakes to raise money for new uniforms. Each of the 40 band members baked cupcakes to sell. They either baked chocolate or vanilla cupcakes. Each student baked 24 cupcakes.Each cupcake was sold for $2. All of the cupcakes were sold. A total of $1,200 was earned from the vanilla cupcakes.How much did the band earn from the chocolate cupcakes? Red Rock Bakery purchases land, building, and equipment for a single purchase price of $200,000. However, the estimated fair values of the land, building, and equipment are $105,000, $180,000, and $15,000, respectively, for a total estimated fair value of $300,000. Cell phones can weigh as little as 56 grams. How many kilograms can the cell phone weigh The voting paradox suggests that the "voting market," as represented by elections,A) Leads to a superior outcome in representing consumer preferences compared to the private market for goods and services.B) May often lead to an inefficient outcome in representing consumer preferences compared to the private market for goods and services.C) Is no different from the private market for goods and services in terms of representing consumer preferences.D) May not lead to an efficient outcome but certainly leads to a more equitable outcome in terms of distributing goods and services. Originally, the tribes that later formed the Mongol people were A. slash and burn farmers in Eastern and Southern Asia. B. nomadic peoples living in the northern plains of China. C. rice farmers in Japan and its surrounding islands. D. warlords ruling vast lands in Spain, France, and Russia. how can the input command be used to accept multiple variables A spider hangs by a strand of silk at an eye level 20 cm in front of a plane mirror. You are behind the spider, 65 cm from the mirror. Find the distance between your eye and the image of the spider in the mirror. please helpwith my geomtry homework ChecksExamine the check.For Mathew Carter, the check would be a1001April 15.213 76542$ 415.488/100the balanceThe amount would bein his checking account.John Smith4321: 1001 Explain how New Mexico flourished during the time of the western expansion PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!Line m passes through point (2,-7) and (4,-9). Line m is parallet to which line?A. Y= -x+2B. Y= x-9C. X=7D. Y=-1 Sulfur dioxide emitted from power plants eventually causes acid rain in the atmosphere. Which term best describes acid rain?A. Primary and secondary pollutantB. Secondary pollutantC. Greenhouse gasD. Primary pollutant What is 39 1/2% of 204 as a decimal Ace company's inventory was destroyed by fire. Their records show net sales of $90,000, beginning inventory of $20,000, net purchases of $75,000 and a gross profit rate of 30%. What is the estimated value of the ending inventory? a deck in the shape of a parallelogram has an area of 49 1/2 square feet and a base of 8 1/4 feet .Find the height of the deck There are 81 pencils in a box. Abigail removes 5 pencils, Barry removes 2 pencils, Cathy removes 6 pencils and David adds 5 pencils to the box. How many pencils are left in the box? Which of the following statements is definitely true when price is less than average total cost for a firm producing the profit-maximizing level of output in the short run?a. The firm will be earning negative total revenue.b. The firm is running a loss in an accounting sense, so that total revenue is less than total explicit costs.c. The firm is incurring an economic loss.d. The firm will minimize its losses by shutting down. If a source radiates sound uniformly in all directions and you triple your distance from the sound source, what happens to the sound intensity at your new position? a. The sound intensity drops to 1 / 27 of its original value.b. The sound intensity increases to three times its original value.c. The sound intensity drops to 1 / 3 of its original value.d. The sound intensity drops to 1 / 9 of its original value.e. The sound intensity does not change. List the energy levels for the orbital configuration of vanadium (v) atomic number 23. A firm wants to determine the amount of frictional torque in their current line of grindstones, so they can redesign them to be more energy efficient. To do this, they ask you to test the best-selling model, which is basically a diskshaped grindstone of mass 1.5 kg and radius 7.40 cm which operates at 730 rev/min. When the power is shut off, you time the grindstone and find it takes 38.8 s for it to stop rotating.(a) What is the angular acceleration of the grindstone in rad/s^2? (Assume constant angular acceleration.)(b) What is the frictional torque exerted on the grindstone in Nm? Steam Workshop Downloader