Identify which location in the periodic table you would have the
largest atomic radii.

Answers

Answer 1

Answer:

left to right across a period when it decreases and when it increases top to bottom in a group,

hope i helped


Related Questions

What is the name???????

Answers

Answer:

Carbon Hydrogen

Explanation:

I believe it means carbon (C) to one atom of hydrogen (H).

The name is this image is Carbon Hydrogen (CH)

Air containing 20.0 mol% water vapor at an initial pressure of 1 atm absolute is cooled in a 1- liter sealed vessel from 200°C to 15°C. (a) What is the pressure in the vessel at the end of the process? (Hint: The partial pressure of air in the system can be determined from the expression pair = nairRT/V and P = pair + pH2O. You may neglect the volume of the liquid water condensed, but you must show that condensation occurs.) (b) What is the mole fraction of water in the gas phase at the end of the process? (c) How much water (grams) condenses?

Answers

Answer:

This solution is quite lengthy

Total system = nRT

n was solved to be 0.02575

nH20 = 0.2x0.02575

= 0.00515

Nair = 0.0206

PH20 = 0.19999

Pair = 1-0.19999

= 0.80001

At 15⁰c

Pair = 0.4786atm

I used antoine's equation to get pressure

The pressure = 0.50

2. Moles of water vapor = 0.0007084

Moles of condensed water = 0.0044416

Grams of condensed water = 0.07994

Please refer to attachment. All solution is in there.

describe a scenario where there is high effort, but no work performed

Answers

Answer:danceing

Explanation:

Joebert had a rectangular cup and filled it with water. He measured the water's mass and volume. Then he got a density of 1.25g/ml. If the accepted density of water is 1 g/ml, what was the percent error of his measurement?

someone can help me please?

Answers

Answer:

Percent error = 25%

Explanation:

Given data:

Measured density of water = 1.25 g/mL

Accepted density value of water = 1 g/mL

Percent error = ?

Solution:

Formula:

Percent error = (measured value - accepted value / accepted value) × 100

Now we will put the values in formula:

Percent error = (1.25 g/mL - 1 g/mL /1 g/mL )× 100

Percent error = (0.25 g/mL /1 g/mL )× 100

Percent error = 0.25 × 100

Percent error = 25%

Select the reagents you would use to synthesize the compounds below from benzene. Use the minimum number of steps. No more than three steps are required in any synthesis.


a. Br2, FeBr3


b. CH3COCi. AICl3


c. SO3, H2SO4


d. Cl2, FeCl3


e. KMnO4, H2O


f. HNO3, H2SO4


g. Fe, H3O then OH


h. CH3Cl, AICl3


m-chlorobenzenesulfonic acid:


2,4,6-tribromoaniline

Answers

Answer:

f and a. That is reagents f[HNO3, H2SO4] is used first then followed by reagent a[Br2, FeBr3]

Explanation:

So, in the production of m-bromonitrobenzene[3-Nitro-1-bromobenzene/1-Bromo-3-nitrobenzene] from benzene from the reagents provided by using the fastest reagents that is to say the reagent with the minimum number of steps, we are going to make use of reagents in option 'f' followed by reagents in  option 'a'.

STEP ONE: The first step in the production of m-bromonitrobenzene[3-Nitro-1-bromobenzene/1-Bromo-3-nitrobenzene] from benzene to give the minimum number of steps from the reagents given is nitration by using the reagents in option 'f'' that is  HNO3, H2SO4 to give nitrobenzene. The equation for the chemical reaction is given below as:

C₆H₆ +  HNO₃, H₂SO₄ -------------------------------------------------------> C6H5NO2.

It is the N⁺O₂ that is been used in the reaction mechanism [from the reaction:  HNO₃ + H₂SO₄ < -----------------> N⁺O₂ + HSO₄⁻ + H₂O].

STEP TWO: The next thing to do is to react the nitrobenzene got from the nitration of benzene in step one above with the reagents in option 'a'[Br2, FeBr3]. This step is known as the bromination of nitrobenzene.

C₆H₅NO₂ + Br₂, FeBr3 ------------------------------------------------> C₆H₄BrNO₂.

Sam washed his favorite pair of jeans. He hung the wet jeans on a clothesline outside. An hour later the jeans were dry.


Which answer best describes that happened to the water that was in the wet jeans an hour later?


State your answer and provide an explanation for your answer


A It soaked into the ground.


B It disappeared and no longer exists.


C It is in the air in an invisible form.


D It moved up to the clouds.


E It chemically changed into a new substance.


F It went up to the Sun.


G It broke down into atoms of hydrogen and oxygen.


Please help D:

Answers

Answer:

THe sun evapored the water and the wind helped dry it to.

Explanation:

Please help me . I attached a picture down below . I need a answer as soon as possible

Answers

Answer:

I can't see the picture.. Can you try attaching it again?

Explanation:

What happens to the particles in a berry sauce mixture as it boils?

Answers

Answer:

The particles garner more and more energy as the boiling continues and thus the energy particles would find a way to escape from it's surface and ultimately the sauce will get to a point where it will turn to gas.

Explanation:

When berry sauce is boiling, it's particles will garner more energy and therefore will move at an increasing faster rate which makes the sauce to continuously expand. Now, the hotter the boiling gets, the more the most energetic particles located at the surface of the sauce will escape from the surface of the sauce. This is because liquids usually evaporate faster when they undergo heating and more particles will have sufficient energy to break away.

As boiling continues, it will get to a point that even particles in the middle of the sauce will begin to form bubbles of gas and at this point, the sauce would have achieved sufficient heat that it will begin to turn to gas.

The discrete group of atoms that are held together by sharing valence electrons

Answers

Answer:

Molecule

Explanation:

Molecule is defined as the discrete group of atoms that are held together by sharing valence electrons.

This is because two or more atoms is known as a molecule and for electron sharing to occur then there must be a minimum of two atoms which is also known as a molecule present in the sharing process.

A helium filled blimp will rise just so high into the atmosphere and then stop. Why? Will a smaller blimp rise higher than a larger one, if both are filled to the same pressure?

Answers

Answer:

See explanation

Explanation:

When a helium blimp rises in the atmosphere, a point eventually comes when the buoyancy of the blimp compared to the air it displaces is no longer greater than gravity's pull on the blimp hence it stops rising.

A smaller blimp will rise more than a larger blimp at the same pressure because the weight of the blimp determines the altitude to which it will rise.

Two fruit flies that are heterozygous for body color and eye color are crossed. Brown body color is dominant to black body color. Red eye color is dominant to brown eye color.

Determine the genotypes of offspring 1-8.
1
2
3
4
5
6
7
8
A 4-column table has 4 rows. The labels of the columns are Upper B Upper E, Upper B e, b Upper E, b e. The labels of the rows are Upper B Upper E, Upper B e, b Upper E, Upper B b Upper E e. The first column has entries 1, Upper B Upper B Upper E e, 4, Upper B b Upper E e. The second column has entries Upper B Upper B Upper E e, 3, Upper B b Upper E e, 7. The third column has entries Upper B b Upper E Upper E, Upper B b Upper E e, 5, b b Upper E e. The fourth column has entries 2,Upper B b e e, 6, 8.

Answers

Answer:

the answer is simple

Explanation:

jnnn B upper up of the eye color

Answer:

1. BBEE

2. BbEe

3. BBee

4. BbEE

5. bbEE

6. bbEe

7. Bbee

8.bbee

Calculate the mass of dinitrogen tetroxide(N2O4) that contains a billion oxygen atoms. Be sure your answer has a unit symbol if necessary, and round it to significant digits.

Answers

Answer:

23 * 10^ 9 atoms of oxygen

Explanation:

From the molecular formula of dinitrogen tetraoxide;

molar mass of dinitrogen tetraoxide = 92 g/mol

hence;

92 g of dinitrogen tetraoxide contains 4 atoms of oxygen

x g of dinitrogen tetraoxide will contain 1 * 10^ 9 atoms of oxygen

x = 92 * 1 * 10^ 9/4

x =23 * 10^ 9 atoms of oxygen

Sulfur trioxide, SO3 , is produced in enormous quantities each year for use in the synthesis of sulfuric acid.
S(s) + O2(g) -------> SO2(g)
2SO2(g) + O2(g) ---------> 2SO3(g)
What volume of O2(g) at 340.°С and a pressure of 4.75 atm is needed to completely convert 6.30 g sulfur to sulfur trioxide?
Volume =_____ L

Answers

Answer:

3.14 L of oxygen (O₂).

Explanation:

We'll begin by calculating the number of mole in 6.3 g of sulphur (S). This can be obtained as follow:

Molar mass of S = 32 g/mol

Mass of S = 6.3 g

Mole of S =.?

Mole = mass / molar mass

Mole of S = 6.3/32

Mole of S = 0.197 mole

Next, we shall write the overall equation of the reaction between sulphur (S) and oxygen (O₂) to produce sulphur trioxide (SO₃) .

This is illustrated below:

S (s) + O₂ (g) —> SO₂ (g)

SO₂ (g) + O₂ (g) —> 2SO₃ (s)

Overall reaction:

2S (s) + 3O₂ (g) —> 2SO₃ (g)

Next, we shall determine the number of mole of oxygen (O₂) needed to completely convert 6.30 g (i.e 0.197 mole) of sulfur.

This is illustrated below:

From the balanced equation above,

2 moles of sulphur (S) required 3 moles of oxygen (O₂) .

Therefore, 0.197 mole of sulphur (S) will require = (0.197 × 3)/2 = 0.296 mole of oxygen (O₂).

Therefore, 0.296 mole of oxygen (O₂) is needed.

Finally, we shall determine the volume of oxygen (O₂) needed as follow:

Number of mole (n) of oxygen (O₂) = 0.296 mole

Temperature (T) = 340 °С = 340 °С + 273 = 613 K

Pressure (P) = 4.75 atm

Gas constant (R) = 0.0821 atm.L/Kmol

Volume (V) of oxygen (O₂) =.?

PV = nRT

4.75 × V = 0.296 × 0.0821 × 613

Divide both side by 4.75

V = (0.296 × 0.0821 × 613) / 4.75

V = 3.14 L

Therefore, 3.14 L of oxygen (O₂) is needed for the reaction.

Most animals can survive without food for a longer time than they can survive without water. Why is water so important to animals? Why can an animal survive without food for longer?

Answers

Answer:

Water is very important for animals because if the animal's cells don't get enough water they will shrivel up and die.

Explanation:

Answer:

1. Animals need fresh water for their bodies to function.

2. Animals can store energy as lipids and carbohydrates.

Explanation:

1. Water is very important for animals because if the animal's cells don't get enough water they will shrivel up and die. Water is also needed to carry out life processes.

2. Animals can store energy as lipids and carbohydrates which helps them survive for a longer time.

Which of the following is an example of chemical weathering?
A . Rock grinded away by other rocks in a stream bed
B. Ice freezing and thawing in cracks
C. Waves beating on the shoreline
D. Dissolving of rock due to acid rain

Answers

Answer:

D. Dissolving of rock due to acid rain.

ou are given a solution containing a pair of enantiomers (A and B). Careful measurements show that the solution contains 98% A and 2% B. What is the ee of this solution

Answers

Complete Question

You are given a solution containing a pair of enantiomers (A and B). Careful measurements show that the solution contains 98% A and 2% B. What is the enantiomeric excess?

Answer:

The value is  [tex]k  = 96 %[/tex]

Explanation:

From the question we are told that

   The  percentage of  enantiomer A is  A =  98%

    The  percentage of  enantiomer B is  B =  2%

Generally the enantiomeric excess is mathematically represented as

      [tex]k  =  \frac{A -B}{A+B}  *  100[/tex]

=>   [tex]k  =  \frac{98 -2}{98+2}  *  100[/tex]

=>   [tex]k  = 96 %[/tex]

In a covalent bond electron pairs are

Answers

Answer:

A covalent bond, also called a molecular bond, is a chemical bond that involves the sharing of electron pairs between atoms. These electron pairs are known as shared pairs or bonding pairs, and the stable balance of attractive and repulsive forces between atoms, when they share electrons, is known as covalent bonding.Explanation:have a good day :P

The Kp for the reaction A (g) = 2 B (g) is 0.0380. What is Kp for the reaction 4 B (g) = 2 A (g)?​

Answers

Answer:

692.52

Explanation:

First Reaction;

A (g) = 2 B (g)

Kp is given as; (PB)² / (PA)

But Kp = 0.0380

So we have;

(PB)² / (PA)  = 0.0380

Second Reaction;

4 B (g) = 2 A (g)

Kp is given as; (PA)² / (PB)⁴

The relationship between Kp expressions for both reactions is given as;

Second Reaction Kp = 1 / (First Reaction Kp)²

Second Reaction Kp = 1 / (0.0380)²  = 1/0.001444

Second Reaction Kp = 692.52

How long would it take a bus traveling 52 km/h to travel 130 km

Answers

Answer:

2 and a half hours

Explanation:

Time is equal to distance over speed

In the situations described below, what is the free energy change if 1 mole of Na+ is transported across a membrane from a region where the concentration is 267 μM to a region where it is 80 mM? (Assume T=37∘C.)

Answers

Answer:

ΔG = 19.5 kJ/mol

Explanation:

The free energy change for moving an ion is given by the following formula:  

ΔG = RT㏑(C₂/C₁) + ΖЭψ

where R is molar gas constant = 8.315 J/mol;

T = 273 +37 = 310 K;

C₂ is concentration outside the cell = 267 μM = 0.000267 M;

C₁ is concentration inside  the cell = 80 mM = 0.005 M;

Ζ is charge on ion = +1;

Э is Faraday's constant = 96500 J/V;

ψ is standard transmembrane potential = 0.05 V

ΔG = (8.315 J/mol * 310 K) ㏑(0.08/0.000267) + 1 *(96500 J/V * 0.05 V)

ΔG = (14692.60 + 4825)J/mol

ΔG = 19517.6 J/mol

ΔG = 19.5 kJ/mol

Radium decays to form radon. Which equation correctly describes this decay? Superscript 226 Subscript 88 Baseline Upper R a right arrow Superscript 222 Subscript 84 Baseline Upper R n + Superscript 4 Subscript 4 Baseline Upper H e Superscript 226 Subscript 88 Baseline Upper R a right arrow Superscript 222 Subscript 86 Baseline Upper R n + Superscript 0 Subscript negative 1 Baseline e Superscript 226 Subscript 88 Baseline Upper R a right arrow Superscript 222 Subscript 86 Baseline Upper R n + Superscript 0 Subscript + 1 Baseline e Superscript 226 Subscript 88 Baseline Upper R a right arrow Superscript 222 Subscript 86 Baseline Upper R n + Superscript 4 Subscript 2 Baseline Upper H e

Answers

Answer: 226 Subscript 88 Baseline Upper R a right arrow Superscript 222 Subscript 86 Baseline Upper R n + Superscript 4 Subscript 2 Baseline Upper H e

Explanation:

Alpha decay : When a larger nuclei decays into smaller nuclei by releasing alpha particle. In this process, the mass number and atomic number is reduced by 4 and 2 units respectively.

The general representation of alpha decay reaction is:

[tex]^{A}_{Z}\textrm{X}\rightarrow ^{A-4}_{Z-2}\textrm {Rn}+ ^{4}_{2}\textrm{He}[/tex]

Representation of Radium decays to form Radon

[tex]^{226}_{88}\textrm{Ra}\rightarrow ^{222}_{86}\textrm {Rn}+ ^{4}_{2}\textrm{He}[/tex]

Thus 226 Subscript 88 Baseline Upper R a right arrow Superscript 222 Subscript 86 Baseline Upper R n + Superscript 4 Subscript 2 Baseline Upper H e represents alpha decay.

         

Answer: D

Explanation:

On edge 2020

If a substance has a density pf 2.5 g/cm³ how much mass will 50 cm³ of it have

Answers

Answer:

Density often has units of grams per cubic centimeter (g/cm3). Remember, grams is a mass and cubic centimeters is a volume (the same ... and minerals since the density of substances rarely changes significantly. For example, gold will always have a density of 19.3 g/cm3; if a mineral has a density

Explanation:

For example, a 1-litre soda bottle filled with air would feel much lighter than the same ... If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass? ... The density of water at 4oC can be written as 1.000g/cm3 , 1.000g/mL ... In order to determine the density of a substance, you need to know its mass and its volume.

If a substance has a density of 2.5 grams/centimeters³ then the mass of the substance having a volume of 50 centimeters³  would be 75 grams.

What is density?

It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.

As given in the problem If a substance has a density of 2.5 grams/centimeters³ then we have to find out the mass of the substance which has a volume of 50 centimeters³

the density of the substance = mass of the substance /volume of the substance

2.5 grams/centimeters³ = mass of the substance/50 centimeters³      

   

mass of the substance = 2.5 ×50

                                      = 75 grams

Thus, the mass of the substance would be 75 grams.

To learn more about density from here, refer to the link;

brainly.com/question/15164682

#SPJ2

When you finish exercising, you are hot, tired, and sweating. After a bottle of juice, you feel a lot better. Which organ systems are working together in this scenario?

Answers

Answer:

Nervous and Excretory

Explanation:

The nervous system makes you thirsty. The integumentary system makes you sweat. the integumentary system is very similar to the Excretory system.

Nervous and Excretory systems are working together in this scenario.

The nervous system makes you thirsty. The integumentary system makes you sweat. the integumentary system is very similar to the Excretory system.

The blood flow increases, your brain is exposed to more oxygen and nutrients. Exercise also induces the release of beneficial proteins in the brain. Sweating cools the body when it becomes warm. When the body temperature rises, such as when exercising on a hot day, the dermal blood vessels dilate.The excretory system works with the endocrine system to help maintain homeostasis.

Learn more:

brainly.com/question/17342396

Why does sodium chloride form a crystal lattice

Answers

Answer:

Ions of opposite charge strongly attract each other; those of like charges repel. As a result ions in an ionic compound are arranged in a particular manner.

Explanation:

Google is smart

Hydrogen sulfide decomposes according to the following reaction, for which Kc=9.30E-8 at 700 degrees Celsius. 2 H2S(g) --> 2 H2(g) + S2(g) If 0.29 moles of H2S is placed in a 3.0-L container, What is the equilibrium concentration of H2(g) at 700 degrees Celsius?

Answers

Answer: The equilibrium concentration of [tex]H_2(g)[/tex] at 700 degrees Celsius is 0.0012 M

Explanation:

Equilibrium constant is defined as the ratio of concentration of products to the concentration of reactants each raised to the power their stoichiometric ratios. It is expressed as [tex]K_c [/tex]

Moles of  [tex]H_2S[/tex] = 0.29 mole

Volume of solution = 3.0 L

Initial concentration of [tex]H_2S[/tex] = [tex]\frac{0.29mol}{3.0L}=0.097M[/tex]

The given balanced equilibrium reaction is,

                    [tex]2H_2S(g)\rightleftharpoons 2H_2(g)+S_2(g)[/tex]

         Initial conc.         0.097 M           0M          0M

At eqm. conc.    (0.097-2x) M            (2x) M   (x) M

The expression for [tex]K_c[/tex] is written as:

[tex]K_c=\frac{[H_2]^2\times [S_2]}{[H_2S]^2}[/tex]

[tex]K_c=\frac{(2x)^2\times x}{(0.097-2x)^2}[/tex]

[tex]9.30\times 10^{-8}=\frac{(2x)^2\times x}{(0.097-2x)^2}[/tex]

[tex]x=0.00060[/tex]

Equilibrium concentration of [tex][H_2][/tex]= 2x= [tex]2\times 0.00060=0.0012M[/tex]

Solid diarsenic trioxide reacts with fluorine gas (F2) to produce liquid arsenic pentafluoride and oxygen gas (O2). Write the Qc for this reaction.

Answers

Answer:

QC= [O2]^3/[F2]^10

Explanation:

Which graph best matches a person walking away at a constant speed

Answers

A graph with a line that stays the same

Based on position in the periodic table and electron configuration, arrange these elements in order of decreasing Ei1.
Rank the elements from highest to lowest ionization energy. To rank items as equivalent, overlap them.
S, As, Ga, Se, K, Rb

Answers

Answer:

Rb<K<Ga<As<Se<S

Explanation:

We must remember that first ionization energy decreases down the group and increases across the period.

First ionization energy decreases down the group because of the addition of more shells which increases the distance between the nucleus and the outermost electron. Hence, Rb has a lower ionization energy that K.

Across the period, increase in the size of the nuclear charge causes the pull of the nucleus on the outermost electrons to increase thereby increasing the ionization energy. Hence ionization energy increases across the period. For this reason, the ionization energy of Ga<As<Se as shown.

Ionization energy is the energy required to remove an electron from an atom of a chemical element. Ionization energy depends on the atomic radius of an element.

Ionization energy and the periodic table.

Ionization energy increase across the period from left to right and decreases along the group from top to bottom on the periodic table.

Ranking the elements from highest to lowest ionization energy, We have:

S - Sulphur

S - SulphurK - Potassium

S - SulphurK - PotassiumRb - Rubidium

S - SulphurK - PotassiumRb - RubidiumSe - Selenium

S - SulphurK - PotassiumRb - RubidiumSe - SeleniumAs - Arsenic

S - SulphurK - PotassiumRb - RubidiumSe - SeleniumAs - ArsenicGa - Gallium

Read More:

Ionization energy is a measure of how strongly an atom holds onto its electrons. A higher ionization energy indicates th...

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What type of wave does not need matter to carry energy?
The answer is Electromagnetic

Answers

Answer:

Electromagnetic

Explanation:

Electromagnetic waves differ from mechanical waves in that they do not require a medium to propagate. This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space.

Need help on 6 and 7 or just one please help

Answers

The forth option on both of them. If you get them wrong, I’m sorry. I’m pretty sure both of these are right thought.
Other Questions
Question 1 (2 points) Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?To find the length of Bentleys long run, you would use:5 2.25Question 1 options: True False f(x) = 2( x ) + 10, Solve when given f(x) = -22 sorry its just I didnt get function notation what are some good 80s musicals Which of the following is NOT a condition of an index fossil?Question 2 options:existed for a limited period of timeeasily recognizedexisted over a wide area, such as throughout an oceanexisted for a long period of time graph the inequality plz help me solve this and explain how plzzzzzz x-y A type of investment that gives a person a share of ownership in a companyis aA. savings accountO B. bondO c. stockO D. hedge fund Gemstone Products located in New York City, is one of the world's largest producers of beauty and related products. The company's consolidated balance sheets for the 2016 and 2015 fiscal years included the following ($ in thousands): 2016 2015 Current assets: Receivables, less allowances of $133,425 in 2016 and $89,025 in 2015 $ 461,900 $ 441,500 A disclosure note accompanying the financial statements reported the following ($ in thousands) Year Ended 2016 2015 (In thousands) Calculation of account receivables, net: Receivables $ 595,325 $ 530,525 Less: allowance for doubtful accounts (123,125 ) (77,825 ) Less: reserve for product returns (10,300 ) (11,200 ) Trade accounts receivable, net: $ 461,900 $ 441,500 Assume that the company reported bad debt expense in 2016 of $192,500 and had products returned for credit totaling $187,225 (sales price). Net sales for 2016 were $5,653,800 ($ in thousands). Required: 1. What is the amount of accounts receivable due from customers at the end of 2016 and 2015 Who is responsible for electing the president in South Africa? Temperature versus Photosynthesis Temperature in Celsius degrees Photosynthetic Rate 0 20 10 40 20 100 25 150 30 200 35 125 40 0 What is the independent variable based on the data shown? A) temperature B) plant growth C) rate of photosynthesis D) cannot determine based on information given Can you please help me its due at 11:59 please What is the answer to 4x+8+6x+12=85 The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true? Which of the following is true regarding enzymes?A one enzyme can work with any substrateB they can be used extracellularlyC they are made of only proteinD they are used entirely in the reaction please help ill give the brain what is x? in the equation x-21=6 Calcium hydroxide is titrated with nitric acid. What volume of 0.0200 M calcium hydroxide is required to neutralize 35.00 ml of 0.0500 M nitric acid? Solve the inequality and graph the solution. 1/2x < 6 Which form of energy is stored chemical energy and example of? Kinetic energy Potential energy Gravitational energy Powered energy is 192 rational , why is it? How many minutes in 18 years? (Remember: 1 year = 365.25 days). Also, on these problems use abridge/table to organize your values4.9671280 sec4,9674280 min9.467 280 sec9 467280 min