Question 13 of 16
The mass of a piece of metal is 25.4253 grams. When the piece of
metal was dropped into a graduated cylinder that had an initial water
volume of 6.85 cm, the total volume was 9.84 cm? What is the
density of the piece of metal in g/cm??

Answers

Answer 1

Answer:

[tex]\rho =8.50g/cm^3[/tex]

Explanation:

Hello,

In this case, due to the volume difference caused by the addition of the metal, one could notice that the volume of the metal is:

[tex]V_{metal}=9.84cm^3-6.85cm^3=2.99cm^3[/tex]

In such a way, given the mathematical definition of density, it turns out:

[tex]\rho =\frac{m}{V}=\frac{25.4253g}{2.99cm^3}\\\\\rho =8.50g/cm^3[/tex]

Regards.


Related Questions

Walter is observing a substance that is currently a solid. What would have to
occur for the substance to become a liquid?

Answers

Answer:

Increasing the temperature

Explanation:

Solids are usually found in low-temperature conditions. Increasing the temperature increases the energy in the solids, causing the solids to turn into a liquid state. Increasing the energy between molecules in a substance reduces the attraction force between the molecules and changes them from solid to liquid state.

what has properties of both metals and nonmetals

Answers

Answer:

Metalloids.

Explanation:

they're between the metals and non metals in the periodic table

Metalloids share properties of both metals and nonmetals. They are also called semi metals because of the shared properties of these elements. Examples of metalloids include boron.

In the Chocolate Chip Rock Cycle Lab,
what was represented by stirring the
melting chips with a spatula?
B. convection currents
A. weathering
C. deposition
D. erosion

Answers

I believe the answer is B
The answer is B convection currents

3root 7
Prove that
Irrational​

Answers

Yes it’s irrational there is no 3rd rooth of 7

The van der Waals equation for real gases recognizes that:
A. the molecular attractions between particles of a gas decrease the pressure exerted by the gas
B. the non-zero volumes of gas particles effectively decrease the amount of "empty space" between them
C. gas particles have non-zero volumes and interact with one another
D. molar volumes of gases of different types are different
E. All of the above statements are correct

Answers

Answer:

E. All of the above statements are correct

Explanation:

   The gas equation given below and which we are familiar with relates to ideal gases  and not to real gases .

P V = R T

In this equation  , it has been assumed that gas molecules have no mutual attraction . They do not occupy any space ie they are very small in volume . But in reality , gas molecules do have mutual attraction and also they occupy some space. . Considering these facts , a new formula was given to replace the gas equation which is written below .

(P - a / V² ) ( V - b ) = R T   ,   a and b are constant and depend upon nature of gas involved .

This is called van der Waals equation . This is for one mole .

Here we see P of previous gas equation is replaced by P - a / V² .

That means pressure of real gas is less than the ideal gas . It is due to mutual attraction between any two gas molecules.  V of previous gas equation is replaced by V - b . That means volume of empty space has been reduced . It is due to the fact that real gas molecules occupy some space . Here b is dependent on the nature of the gas.

So all the statements are correct .

The van der Waals equation for real gases recognizes that  gas particles have non-zero volumes and interact with one another.

The ideal gas equation is used to describe the relation among the volume, pressure and temperature of an ideal gas. Recall that the ideal gas equation holds that there is no intermolecular interaction between gas molecules and that gas molecules occupy zero volume relative to the volume of the container.

The van der Waals equation for real gases recognizes that  gas particles have non-zero volumes and interact with one another.

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How is energy transformed from one form to another? Give three examples of objects that have potential energy and kinetic energy? What does the law of convosation of energy state? .

Answers

Answer:

An energy transformation is the change of energy from one form to another. Energy transformations occur everywhere every second of the day. There are many different forms of energy such as electrical, thermal, nuclear, mechanical, electromagnetic, sound, and chemical.

Explanation:

Look at the image below:

Which of the following statements is true?

Group of answer choices

The figure is a molecule and a compound.

The figure is a compound, but not a molecule.

The figure is an atom and an element.

The figure is a molecule and an element.

Answers

Answer:

The figure is a molecule and a compound

Explanation:

Because it have 2 cluster molecules

A chemist measures the energy change ?H during the following reaction: 2HgO (s) ?2Hg (l) +O2 (g) =?H182.kJ Use the information to answer the following questions. This reaction is...
endothermic.
exothermic.
Suppose 72.8g of HgO react. Will any heat be released or absorbed?
Yes, absorbed.
Yes, released.
No.
If you said heat will be released or absorbed in the second part of this question, calculate how much heat will be released or absorbed. kJ Round your answer to 3 significant digits. ×10

Answers

Answer:

The reaction is endothermic.

Yes, absorbed

3.06x10¹kJ are absorbed

Explanation:

In the reaction:

2HgO(s) → 2Hg(l) + O₂(g) ΔH = 182kJ

As ΔH >0,

The reaction is endothermic

As the reaction is endothermic, when the reaction occurs,

the heat is absorbed.

Now, based on the equation, when 2 moles of HgO (Molar mass: 216.59g/mol), 182kJ are absorbed.

72.8g are:

72.8g * (1mol / 216.59g) = 0.3361 moles HgO.

that absorb:

0.3361 moles HgO * (182kJ / 2 moles) =

3.06x10¹kJ are absorbed

One way to represent this equilibrium is: 2 CO2(g) + 4 H2O(g)2 CH3OH(l) + 3 O2(g) We could also write this reaction three other ways, listed below. The equilibrium constants for all of the reactions are related. Write the equilibrium constant for each new reaction in terms of K, the equilibrium constant for the reaction above. 1) CH3OH(l) + 3/2 O2(g) CO2(g) + 2 H2O(g) K1 = 2) 2 CH3OH(l) + 3 O2(g) 2 CO2(g) + 4 H2O(g) K2 = 3) CO2(g) + 2 H2O(g) CH3OH(l) + 3/2 O2(g)

Answers

Answer:

1) 1/√K

2) 1/K

3) √K

Explanation:

As general rules of operation of equilibrium constants:

For the reaction:

A + B ⇄ C + D; Equilibrium constant = K

C + D ⇄ A + B; K' = 1/K

2A + 2B ⇄ 2C + 2D; K'' = K²

Thus, as equilibrium constant of:

2CO2 + 4H2O ⇄ 2CH3OH + 3O2

Is K:

1) CH3OH + 3/2 O2 ⇄ CO2 + 2H2O

K' = 1 / K^(1/2) = 1/√K

2) 2CH3OH + 3O2 ⇄ 2CO2 + 4H2O

K' = 1/K

3) CO2 + 2H2O ⇄ CH3OH + 3/2 O2

K' = K^(1/2) = √K

Science is a way of discovering what's in the natural world and how those things
A)
work today
B)
how they worked in the past
C)
how they are likely to work in the future
D)
work today, how they worked in the past, and how they are likely to work
in the future

Answers

Answer:

D

Explanation:

science shows patterns and anomalies in how the world works

What is the specific gravity of mercury, the liquid used in thermometers, if it has a density of
13.6 g/mL?

Answers

Answer:

13.64.

Explanation:

Hello,

In this case, since the the specific gravity is computed as the ratio of the density of the given substance by the density of water that is approximately 0.997 g/mL as shown below:

[tex]s.g=\frac{\rho}{\rho _{water}}[/tex]

In such a way, for this case, we find:

[tex]s.g=\frac{13.6g/mL}{0.997g/mL}=13.64[/tex]

Which is dimensionless due the g/mL simplification.

Best regards.

The specific gravity of mercury is 13.61

Specific gravity is defined as the ratio of the density of a substance to the density of water. Mathematically;

[tex]sg=\frac{\rho_s}{\rho_{water}}[/tex]

Given the following parameters:

[tex]\rho_{Hg}=13.6g/mL\\\rho_{H_2O}=0.9998g/mL[/tex]

Substitute the given parameters into the formula;

[tex]sg=\frac{13.6g/mL}{0.9998g/mL}\\sg=13.61[/tex]

Hence the specific gravity of mercury is 13.61

Learn more on specific gravity here: https://brainly.com/question/25782570


What reasons can you give for people to pursue discoveries in chemistry?

Answers

Answer:

cure problems

pollution

purifying water

crop production

Explanation:

The reasons  for people to pursue discoveries in chemistry because it is the most important part of  daily life and related to the human health too.

What is chemistry?

Chemistry is a field of science which deals with the chemicals present in laboratory or in our environment o related to human body also.

Their are main 3 branches of chemistry that is organic and inorganic and physical chemistry some others are too like analytical chemistry industrial chemistry pharmaceutical chemistry.

Organic chemistry deals with the carbon compounds and hydrogen compound inorganic chemistry deals with the elements of periodic table and pharmaceutical makes medicines for human health care.

Learn more about chemistry, here:

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6. The SI unit of weight is a newton (N). If a boulder weighs 240 N
on Earth, what is its weight on the moon?
a 40N
b 60 N
C 240 N
d 120 N

Answers

Answer:

A. 40N

Explanation:

Which of the following is a mixture? honey water gold steel

Answers

Answer:

steel because water gold and honey is not a mixture of something

Answer:

Steel

Explanation:

How many atoms of zirconium are in 0.3521 mol of zirconium?

Answers

Answer:

2.12×10²³ atoms.

Explanation:

From Avogadro's hypothesis, we understood that 1 mole of any substance contains 6.02×10²³ atoms. This simply means that 1 mole of zirconium also 6.02×10²³ atoms.

Thus, we can obtain the number of atoms present in 0.3521 mole of zirconium as follow:

1 mole of zirconium also 6.02×10²³ atoms.

Therefore, 0.3521 mole of zirconium will contain = 0.3521 × 6.02×10²³ = 2.12×10²³ atoms.

Therefore, 0.3521 mole of zirconium contains 2.12×10²³ atoms.

There are 2.12 × 10²³ atoms of zirconium in 0.3521 mol of zirconium.

HOW TO CALCULATE NUMBER OF ATOMS:

The number of atoms of zirconium can be calculated by multiplying the number of moles in the element with Avogadro's number. That is;

no. of atoms in Zirconium = no. of moles = 6.02 × 10²³

According to this question, 0.3521 mol of zirconium was given. The number of atoms can be calculated as follows:

no. of atoms of Zirconium = 0.3521 × 6.02 × 10²³

no. of atoms of Zirconium = 2.12 × 10²³ atoms.

Therefore, there are 2.12 × 10²³ atoms of zirconium in 0.3521 mol of zirconium.

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Which type of basin forms at divergent boundaries

Answers

Answer:

A: rift

Explanation:

Divergent boundaries within continents initially produce rifts, which produce rift valleys.

Answer:

rift just did the quiz

List the 7 examples of energy sources that produce steam to turn the turbines of an electric generator.

Answers

Answer:

The fuels or energy sources used for steam turbines include biomass, coal, geothermal energy, petroleum fuels, natural gas, nuclear energy, and solar thermal energy. Most of the largest electric power plants in the United States have steam turbines.

Explanation: I hope dis help you !

Convert 533 cm/s to units of meters per minute. Show the unit analysis by dragging the conversion factors into the unit‑factor slots

Answers

Answer:

319.8 m/min

Explanation:

533 cm/s

We can convert 533 cm/s to m/min by doing the following:

First, we shall convert 533 cm/s to m/s. This can be obtained as illustrated below:

Recall:

100 cm/s = 1 m/s

Therefore,

533 cm/s = 533 cm/s /100 cm/s × 1 m/s

533 cm/s = 5.33 m/s

Finally, we shall convert 5.33 m/s to m/min. This can be obtained as follow:

1 m/s = 60 m/min

Therefore,

5.33 m/s = 5.33 m/s / 1 m/s × 60 m/min

5.33 m/s = 319.8 m/min

Therefore, 533 cm/s is equivalent to 319.8 m/min

Identify structure(s) for all constitutional isomers with the molecular formula C4H8 that have one double bond. Select all that apply.

Answers

Answer:

a) But-1-ene

b) E-But-2-ene

c) Z-But-2-ene

d) 2-Methylpropene

Explanation:

In this case, if we want to draw the isomers, we have to check the formula [tex]C_4_H8[/tex] in this formula we can start with a linear structure with 4 carbons. We also know that we have a double bond, so we can put this double bond between carbons 1 and 2 and we will obtain But-1-ene.

For the next isomer, we can move the double bond to carbons 2 and 3. When we do this can have two structures. When the methyl groups are placed on the same side we will obtain Z-But-2-ene. When the methyls groups are placed on opposite sides we will obtain E-But-2-ene.

Finally, we can use a linear structure of three carbons with a methyl group in the middle with a double bond, and we will obtain 2-Methylpropene.

See figure 1 to further explanations.

I hope it helps!

In an ion with an unknown charge, the total mass of all the electrons was determined to be 1.640 x [tex]10^{-26}[/tex] g, the total mass of its protons was 4.015 x [tex]10^{-23}[/tex] g, and the total mass of its neutrons was 4.690 x [tex]10^{-23}[/tex] g. What is the identity, charge, and mass number of this ion? Electron one mass = 9.109 x [tex]10^{-31}[/tex] Proton one mass = 1.673 x [tex]10^{-27}[/tex] Neutron one mass = 1.675 x [tex]10^{-27}[/tex]

Answers

d should be the answer from 1.675 x 10 -/23

The measured quantity 0.00410 g written in scientific notation is _______. Using prefixes, the number can be written as ________.

Answers

Answer:

4.10x10⁻³g.

4.10 mg.

Explanation:

Hello,

In this case, considering the given number, we can see it has two digits after the first nonzero digit that is four (4) which is also at the third decimal place, it means that the scientific notation has a negative power as it is at the left of the given zeros, therefore it is:

4.10x10⁻³g.

Moreover, since the proper prefix for the factor x10⁻³ is milli, the number with prefix is:

4.10 mg.

Best regards.

blance equation __CaBr2 (aq) + ___Li3PO4(aq) → ___Ca3(PO4)2(s) + ____LiBr (aq)

Answers

Answer:

3CaBr2 + 2LI3PO4 - > Ca3(PO4) 2 + 6LiBr

Explanation:

The first one I did was PO4. There are two on the right side, so I added 2 to Li3PO4 on the other side. That balanced the PO4s and then gave me 6 Lithiums so I balanced that one next on the right side. I added 6 to LiBr which balanced the Li but then gave me 6 Br, so I finished it off by adding 3 in front of CaBr2 which balanced the calcium and bromines.

Here was the process:

CaBr2+2Li3PO4 -> Ca3(PO4)2+LiBr

Balances PO4 (2on both sides)

CaBr2+2Li3PO4 -> Ca3(PO4)2+6LiBr

Balances Lithiums (6 on each side)

3CaBr2+2Li3PO4 -> Ca3(PO4)2+6LiBr

Balances Calciums and Bromines (3 Calciums and 6 Bromines each side)

Hope this helped!

If a buffer solution is 0.260 M in a weak acid (Ka=8.3×10−5) and 0.480 M in its conjugate base, what is the pH?

Answers

Answer: pH = 4.3

Explanation: The pH of a buffer solution and its conjugate base can be determine by the Henderson-Hasselbach Equation. It can be estimated because equilibrium between weak acid and its conjugate base allows the solution to not change pH when small amounts of strong acid or base are added.

pH is calculated by:

[tex]pH = pK_{a} + log(\frac{[conjugate]}{[acid]} )[/tex]

pKa is the acidic dissociation constant and it shows how much strong an acid can be. It is determined as:

[tex]pK_{a}=-log(K_{a})[/tex]

For the buffer solution:

[tex]pK_{a}=-log(8.3.10^{-5})[/tex]

[tex]pK_{a}=4.081[/tex]

Calculating pH:

[tex]pH = 4.081 + log(\frac{0.480}{0.260} )[/tex]

[tex]pH = 4.081 + log(1.846)[/tex]

pH = 4.3

For this buffer solution and its conjugate, pH = 4.3

5. A gas has a pressure of 1.26 atm and occupies a volume of 7.40 L. If the gas
compressed to a volume of 2.93 L, what will its pressure?

Answers

Answer:

0.499atm

Explanation:

The formula is

P1/V1 = P2/V2

so:

1.26atm/7.40L = P2/2.93L

then:

(1.26atm/7.40L)*2.93L = P2

= 0.4988918911atm

the answer must have 3 sig figs

A 38.6 kg marble slab is shown above. What is it’s density? Give you’re answer to the nearest tenth

Answers

Answer:

Density, [tex]d=24.68\ g/cm^3[/tex]

Explanation:

Given that,

Mass of marble slab is 38.6 kg or 38600 g

The dimensions of the slab is 23 cm × 17 cm ×4 cm

We know that the density of an object is given in terms of its mass volume as follows :

[tex]d=\dfrac{\text{mass}}{\text{volume}}\\\\d=\dfrac{38600\ g}{1564\ cm^3}\\\\d=24.68\ g/cm^3[/tex]

So, the density of the marble slab is [tex]24.68\ g/cm^3[/tex]

hrough the complete electrolysis of a sample of pure water, a student collects 14.0 grams of hydrogen gas and 112.0 grams of oxygen gas. What mass of water (in grams), if it reacted completely, was initially present? (The electrolysis of water is the use of an electric current to decompose it into its component elements.)

Answers

Answer:

126g of H₂O

Explanation:

Electrolysis of water is:

2H₂O(l) → 2H₂(g) + O₂(g).

To know mass of water that reacted, we need to find moles of hydrogen and oxygen and, by using electrolysis chemical equation, we can determine moles of water and its mass, thus:

Moles hydrogen (Molar mass: 2.01g/mol):

14.0g H₂ * (1mol / 2.01g) = 6.97 moles hydrogen

Moles Oxygen (Molar mass: 32g/mol):

112.0g O₂ * (1 mol / 32g) = 3.5 moles oxygen

As 2 moles of hydrogen and 1 mole of oxygen are produced from 2 moles of water, and 7 moles of hydrogen and 3.5 moles of oxygen were collected, moles of water that reacted were 7 moles H₂O.

As molar mass of water is 18g/mol, mass of 7 moles of H₂O is:

7 mol H₂O * (18g / mol) =

126g of H₂O

What mass of Sodium Chloride is required to make 100.0 mL of 3.0 M solution?

Answers

Answer:

17.55 g of NaCl

Explanation:

The following data were obtained from the question:

Molarity = 3 M

Volume = 100.0 mL

Mass of NaCl =..?

Next, we shall convert 100.0 mL to L. This can be obtained as follow:

1000 mL = 1 L

Therefore,

100 mL = 100/1000

100 mL = 0.1 L

Therefore, 100 mL is equivalent to 0.1 L.

Next, we shall determine the number of mole NaCl in the solution. This can be obtained as follow:

Molarity = 3 M

Volume = 0.1 L

Mole of NaCl =?

Molarity = mole /Volume

3 = mole of NaCl /0.1

Cross multiply

Mole of NaCl = 3 × 0.1

Mole of NaCl = 0.3 mole

Finally, we determine the mass of NaCl required to prepare the solution as follow:

Mole of NaCl = 0.3 mole

Molar mass of NaCl = 23 + 35.5 = 58.5 g/mol

Mass of NaCl =?

Mole = mass /Molar mass

0.3 = mass of NaCl /58.5

Cross multiply

Mass of NaCl = 0.3 × 58.5

Mass of NaCl = 17.55 g

Therefore, 17.55 g of NaCl is needed to prepare the solution.

What causes the flame colors when salts are exposed to the flame? (hint: electrons jump
between different energy levels)

Answers

Answer:

When you heat an atom, some of its electrons are "excited* to higher energy levels. When an electron drops from one level to a lower energy level, it emits a quantum of energy. ... The different mix of energy differences for each atom produces different colours. Each metal gives a characteristic flame emission spectrum.

Explanation:

C=82.76% H=17.24% Molecular formula ???

Answers

Answer:

ok

Explanation:

Element  %composition  Mol. mass  No. of C atoms  Simplest       Rounding

                                                                                           ratio             off  

C                     82.76                   12            6.89             1× 2                 2              

H                    17.24                      1              17.24              2.5× 2           5

Number of carbon atoms present =  

12

82.76

​  

=6.89

Number of hydrogen atoms present =  

1

17.24

​  

=17.24

simplest ratio =  

6.89

6.89

​  

=1  

simplest ratio =  

6.89

17.24

​  

=2.5

∴ Empirical fromula is C  

2

​  

H  

5

​  

 

Empirical formula mass= 2×12+5 = 29

∴ V.D. = 29

Mol. mass = 2 × V.D.

=58

n=  

Empiricalformulamass

Molecularmass

​  

 

=  

29

58

​  

=2

∴ Molecular formula = C  

4

​  

H  

10

pls mark me as braillant

An unknown element X has the following isotopes: ²⁵X (80.5% abundant) and ²⁷X (19.5% abundant). What is the Average atomic mass in amu of X?

Answers

Answer:

the average atomic mass in amu of X is 25.39 amu

Explanation:

The computation of the average atomic mass in the amu of X is shown below:

Average mass is

= Product sum + atomic mass of each and every isotope

Now the average mass

= (80.5 ÷ 100 × 25 amu) + (19.5 ÷ 100 × 27 amu)

= 20.125 + 5.265

= 25.39 amu

Hence, the average atomic mass in amu of X is 25.39 amu

The average atomic mass of X is 25.39 amu.

Atomic mass

It is the quantity of matter present within an atom of an element.

Based on the given information,

• The unknown element X has the isotopes, 25X (80.5% abundant) and 27X (19.5% abundant).

Now the atomic mass of X can be calculated by using the formula,

[tex]=\frac{(M1*A1)+(M2*A2)}{A1+A2}[/tex]

Here, M1 and M2 are the atomic masses, and A1 and A2 are their  abundances.

Now putting the values we get,

[tex]= \frac{(25*80.5)+(27*19.5)}{80.5+19.5} \\\\= \frac{2012.5+526.5}{100} \\= \frac{2539}{100} \\= 25.39 amu[/tex]

Thus, the average atomic mass of X is 25.39 amu.

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Customer Q, age 40, is married with 3 young children. He earns $120,000 per year and has $10,000 of liquid assets to invest. The customer has no current portfolio, but does own his home, worth $400,000 against which there is a $200,000 mortgage. The customer informs you that his father just died, leaving him an inheritance of $150,000. He wishes to invest the money so that he can retire in 20 years, using the investment's income. The best recommendation to the customer is to invest the $150,000 in:______________.A. a large cap stock mutual fundB. CMO companion tranches with a 20 year average lifeC. TIPs with a 20 year maturityD. a low-load variable annuity separate account with a growth objective Some surplus food a. was traded for other kinds of food. c. was given away to the poor. b. was traded for other kinds of goods. d. was offered to the gods. Please select the best answer from the choices provided A B C D Medium is ___________ A farmer has some chickens and rabbits. There are 60 eyes and 100 legs altogether. How many chickens and how many rabbits are there? Which is one use for a hyperlink? A. to create a heading style B. to animate important text C. to create a link to a website. D. to hyphenate words. Keli is buying pajamas for her five closest friends. Using the graph shown below, how much money will it cost her if she decides to buy a sixth pair of pajamas for herself?Kelli's Gifts80706050Cost (dollars)403020-1060 1 2 3 4 5Number of PajamasA $62.50B$75.00$80.00D$150.00 A and B are complementary angles. If m A = (8x 23) and mB= (7x 7), then find the measure of A. Geometry question pls help The train traveled 500 kilometers north to Odessa in 2 hours. What is the trains speed? What is its velocity? Which of the following is a negatively charged particle that is found in "clouds" around the nucleus?Group of answer choicesprotonquarkelectronneutron What would happen to life if water froze from the bottom to top of the ocean instead of top to bottom? True or False??? Help A substance in which other substances dissolve is called a solute. What was the most significant impact of African, European, and NorthAmerican cultures converging in the 16th century? Diploid eukaryotic cells have two haploid sets of chromosomes, one contributed by the mother, the other contributed by the father.A. TrueB. False A baseball team played 154 complete games last season. They had 30 fewer wins than losses. How many games did the team win? a 92 games b 62 games c 30 games d 154 games Tell me about your favorite science experiment. Give me a detailed account of the experiment and what you like about it. Complete the statements using data from Table A of your Student Guide. The speed of the cart after 8 seconds of Low fan speed is cm/s. The speed of the cart after 3 seconds of Medium fan speed is cm/s. The speed of the cart after 6 seconds of High fan speed is cm/s. What type of rock is formed from cooling magma? Select all that apply.ClasticMarbleBasaltGranite On a rollercoaster ride, when do the cars have the most kinetic energy? Byron Books Inc. recently reported $14 million of net income. Its EBIT was $22.4 million, and its tax rate was 30%. What was its interest expense? [Hint: Write out the headings for an income statement, and then fill in the known values. Then divide $14 million of net income by (1 - T) = 0.7 to find the pretax income. The difference between EBIT and taxable income must be interest expense. Use this same procedure to complete similar problems.] Write out your answer completely. For example, 25 million should be entered as 25,000,000. Round your answer to the nearest dollar, if necessary. Do not round intermediate calculations.