determine the empirical and molecular formula of a compound composed of 18.24 g carbon, 0.51 g hydrogen, and 16.91 g fluorine and has a molar mass 562.0 g/mol.

Answers

Answer 1

Answer: The empirical formula for the given compound is [tex]C_3HF_2[/tex]  and molecular formula for the given compound is [tex]C_{24}H_8F_{16}[/tex]

Explanation : Given,

Mass of C = 18.24 g

Mass of H = 0.51 g

Mass of F = 16.91 g

To formulate the empirical formula, we need to follow some steps:

Step 1: Converting the given masses into moles.

Moles of Carbon =[tex]\frac{\text{Given mass of Carbon}}{\text{Molar mass of Carbon}}=\frac{18.24g}{12g/mole}=1.52moles[/tex]

Moles of Hydrogen = [tex]\frac{\text{Given mass of Hydrogen}}{\text{Molar mass of Hydrogen}}=\frac{0.51g}{1g/mole}=0.51moles[/tex]

Moles of Fluorine = [tex]\frac{\text{Given mass of Fluorine}}{\text{Molar mass of Fluorine}}=\frac{16.91g}{19g/mole}=0.89moles[/tex]

Step 2: Calculating the mole ratio of the given elements.

For the mole ratio, we divide each value of the moles by the smallest number of moles calculated which is 0.51 moles.

For Carbon = [tex]\frac{1.52}{0.51}=2.98\approx 3[/tex]

For Hydrogen  = [tex]\frac{0.51}{0.51}=1[/tex]

For Fluorine = [tex]\frac{0.89}{0.51}=1.74\approx 2[/tex]

Step 3: Taking the mole ratio as their subscripts.

The ratio of C : H : F = 3 : 1 : 2

The empirical formula for the given compound is [tex]C_3H_1F_2=C_3HF_2[/tex]

For determining the molecular formula, we need to determine the valency which is multiplied by each element to get the molecular formula.

The equation used to calculate the valency is :

[tex]n=\frac{\text{molecular mass}}{\text{empirical mass}}[/tex]

We are given:

Molar mass  = 562.0 g/mol

Mass of empirical formula = 3(12) + 1(1) + 2(19) = 75 g/eq

Putting values in above equation, we get:

[tex]n=\frac{562.0}{75}=7.49\approx 8[/tex]

Multiplying this valency by the subscript of every element of empirical formula, we get:

[tex]C_3HF_2=(C_3HF_2)_n=(C_3HF_2)_8=C_{24}H_8F_{16}[/tex]

Thus, the molecular formula for the given compound is [tex]C_{24}H_8F_{16}[/tex]

Answer 2

The proportionate of the atom found in a given compound is called the empirical formula while the molecular formula represents the actual digits of the atoms found in the given molecule of the compound.

The empirical formula for the given compound is [tex]\rm C_{3}HF_{2}[/tex]  and molecular formula for the given compound is [tex]\rm C_{24}H_{8}F_{16}[/tex].

The empirical formula can be determined as:

Given,

Mass of C = 18.24 gMass of H = 0.51 gMass of F = 16.91 g

Step 1: For determining the empirical formula, convert mass into moles:

For Carbon:

[tex]\begin{aligned}&\rm Moles \;of \;Carbon = \dfrac{\text{Given mass of Carbon}}{\text{Molar mass of Carbon}}\\\\&= \dfrac{18.24 \rm g}{ 12 \rm g/mol}\\\\&=1.52\text{ moles}\end{aligned}[/tex]

For Hydrogen:

[tex]\begin{aligned}&\rm Moles \;of \;Hydrogen= \dfrac{\text{Given mass of Hydrogen}}{\text{Molar mass of Hydrogen}}\\\\&= \dfrac{0.51\rm g}{ 1\rm g/mol}\\\\&=0.51\text{ moles}\end{aligned}[/tex]

For Fluorine:

[tex]\begin{aligned}&\rm Moles \;of \;Fluorine= \dfrac{\text{Given mass of Fluorine}}{\text{Molar mass of Fluorine}}\\\\&= \dfrac{16.91\rm g}{ 19\rm g/mol}\\\\&=0.89\text{ moles}\end{aligned}[/tex]

Step 2: Calculation of mole ratio for the assigned elements:

For this divide the moles of elements with the smallest number of moles calculated above.

[tex]\begin{aligned}\text{For Carbon} & = \dfrac{1.52 }{0.51}\\&= 2.98\end{aligned}[/tex]

Moles of C = 3

[tex]\begin{aligned}\text{For Hydrogen}& = \dfrac{0.51}{ 0.51}\\&= 1\end{aligned}[/tex]

Moles of Hydrogen = 1

[tex]\begin{aligned}\text{For Fluorine}& = \dfrac{0.89}{ 0.51}\\&= 1.74\end{aligned}[/tex]

Moles of Fluorine = 2

Step 3: The calculated mole ratio will be the subscript of the elements.

C : H : F = 3 : 1 : 2

Therefore, the empirical formula will be,

[tex]\rm C_{3}H_{1}F_{2} \;or\; C_{3}HF_{2}[/tex]

The molecular formula can be determined as:

Determining the valency (n):

[tex]n = \dfrac {\text{molecular mass} }{\text{empirical mass}}[/tex]

Given,

Molar mass = 562.0 g/molMass of empirical formula = [tex]3(12) + 1(1) + 2(19)[/tex]

= 75 g/eq

Substituting values in the above equation, we get:

[tex]\begin{aligned}n &= \dfrac{562 }{ 75}\\\\&= 7.49 \\\\&= 8\end{aligned}[/tex]

Multiply the valency calculated with the empirical formula:

[tex]\begin{aligned}\rm C_{3}HF_{2} &=\rm (C_{3}HF_{2})n\\&= \rm (C_{3}\rm HF_{2})8\\\\\\\\&= \rm (C_{24}H_{8}F_{16})\end{aligned}[/tex]

Therefore, the molecular formula is [tex]\rm C_{24}H_{8}F_{16}[/tex].

Thus, the empirical formula is  [tex]\rm C_{3}HF_{2}[/tex]  and the molecular formula is [tex]\rm C_{24}H_{8}F_{16}[/tex].

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Related Questions

How many molecules are contained in 103.4g of sulfuric acid?

Answers

Answer:

1.827 × 10²⁴ molecules H₂S

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Chemistry

Compounds

Writing CompoundsAcids/Bases

Atomic Structure

Reading a Periodic TableUsing Dimensional AnalysisAvogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.Explanation:

Step 1: Define

103.4 g H₂S (Sulfuric Acid)

Step 2: Identify Conversions

Avogadro's Number

Molar Mass of H - 1.01 g/mol

Molar Mass of S - 32.07 g/mol

Molar Mass of H₂S - 2(1.01) + 32.07 = 34.09 g/mol

Step 3: Convert

Set up:                              [tex]\displaystyle 103.4 \ g \ H_2S(\frac{1 \ mol \ H_2S}{34.09 \ g \ H_2S})(\frac{6.022 \cdot 10^{23} \ molecules \ H_2S}{1 \ mol \ H_2S})[/tex]Multiply:                                                                                                            [tex]\displaystyle 1.82656 \cdot 10^{24} \ molecules \ H_2S[/tex]

Step 4: Check

Follow sig fig rules and round. We are given 4 sig figs.

1.82656 × 10²⁴ molecules H₂S ≈ 1.827 × 10²⁴ molecules H₂S

Universe L, recently discovered by an intrepid team of chemists who also happen to have studied interdimensional travel, quantum mechanics works just as it does in our universe, except that there are seven d orbitals instead of the usual number we observe here. Use these facts to write the ground-state electron configurations of the sixth and seventh elements in the first transition series in Universe L.

Answers

Answer:

Iron; [Ar] 3d6 4s2

Cobalt; [Ar] 3d6 4s2 4p1

Explanation:

We know that in our universe, there are five d orbitals known. However, in this strange universe L, there are only three d orbitals known.

The sixth and seventh first row transition elements are iron and cobalt. In universe L, the electronic configuration of iron and cobalt will be written as;

Iron; [Ar] 3d6 4s2

Cobalt; [Ar] 3d6 4s2 4p1

how does heat transfer into conduction​

Answers

Explanation:

Heat is transferred by conduction when adjacent atoms vibrate against one another or electrons move from one atom to another . Conduction is the most significant meanings of heat transfer within a solid or between solid objects informal contact.

Starovka is right.That is how it transfers into conduction

pleaseeeeeee helpppppppppp​

Answers

Answer:It is number 4

Explanation:

What is the surface area of the rectangular prism below? 7 7 14

Answers

Answer:

A=490

Explanation:

Hope this helps :)

Right rectangular prism

Solve for surface area

A=490

l Length  

7

w Width  

7

h Height  

14

h

l

w

d

l

l

h

w

h

w

Solution

the area would be 490

Which would
have more
particles:
1 mole Au or
1 mole Ag?

Answers

Answer:

1 mole of each element have same number of particles. i.e. 6.02×10^23

Explanation:

So both have same atoms

According to the concept of Avogadro's number, there are same number of particles in 1 mole of silver and gold.

What is Avogadro's number?

Avogadro's number is defined as a proportionality factor which relates number of constituent particles with the amount of substance which is present in the sample.

It has a SI unit of reciprocal mole whose numeric value is expressed in reciprocal mole which is a dimensionless number and is called as Avogadro's constant.It relates the volume of a substance with it's average volume occupied by one of it's particles .

According to the definitions, Avogadro's number depend on determined value of mass of one atom of those elements.It bridges the gap between macroscopic and microscopic world by relating amount of substance with number of particles.

Number of atoms can be calculated using Avogadro's number as follows: mass/molar mass×Avogadro's number

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To carry out the synthesis of hydrogen fluoride from hydrogen and difluorine, 1.0 mol of H,
and 2.0 mol of F2, are mixed in a flask having a 3.0 L capacity. The equilibrium constant for
this synthesis reaction and at a certain temperature is equal to 115.
Calculate the concentration at equilibrium of each of the components of the reaction system.​

Answers

Answer:

this not easy

Explanation:

come on

BY ANSWERING THIS QUESTION UR PUTTING IT ON UR MOM's LIFE THAT U WON'T STEAL MY POINTS.

5) Choose the best answer.

Using Gay-Lussac's Law, calculate the new temperature in the following situation.

A sample of gas has a pressure of 3.50 atm and a temperature of 22°C. If the pressure decreases to 1.75 atm, what will be its Celsius temperature if the volume remains constant?

125.5* C
-125.5* C
-147.5* C
-195* C
195* C

6) Choose the best answer.

Using Gay-Lussac's Law, calculate what the new pressure in the following situation.

A tank of acetylene sits on the back of a truck. During the afternoon, the temperature of a gas has reached 38°C (311 K) with a pressure of 508 kPa. That night, the temperature drops to 29°C (302 K). Since the gas was in a metal tank, the volume remained constant. What is the new pressure?

308 kPa
500 kPa
493 kPa
503 kPa
311 kPa

Answers

Answer:

[tex]T_2=-125.58\°C[/tex]

Explanation:

Hello!

In this case, considering the Gay-Lussac's law which describes the pressure-temperature behavior as a directly proportional relationship by holding the volume as constant, we write:

[tex]\frac{T_1}{P_1} =\frac{T_2}{P_2}[/tex]

Whereas solving for the final temperature T2, we get:

[tex]T_2=\frac{T_1P_2}{P_1}[/tex]

Thus, we plug in the given data (temperature in Kelvins) to obtain:

[tex]T_2=\frac{(22+273.15)K*1.75atm}{3.50atm} \\\\T_2=147.58K-273.15\\\\T_2=-125.58\°C[/tex]

Best regards!

When (R)-6-bromo-2,6-dimethylnonane is dissolved in CH3OH, nucleophilic substitution yields an optically inactive solution. When the isomeric halide (R)-2-bromo-2,5- dimethylnonane is dissolved in CH3OH under the same conditions, nucleophilic substitution forms an optically active solution. Draw the products formed in each reaction, and explain why the difference in optical activity is observed.

Answers

Answer:

See explanation

Explanation:

The nucleophile here is CH3OH. We know that CH3OH is a good nucleophile that promotes SN2 reanction. However, (R)-6-bromo-2,6-dimethylnonane is a tertiary alkyl halide so the reaction proceeds by SN1 mechanism. This means that a racemic mixture is obtained at the end of the reaction because the attack occurs at the stereogenic carbon atom (6R) hence the product is optically inactive.

On the other hand, when (5R)-2-bromo-2,5-dimethylnonane is reacted with CH3OH, an optically active product is obtained because; though a tertiary alkyl halide and reaction occurs by SN1 mechanism, the attack does not occur at the stereogenic carbon atom (5R). Therefore, an optically active product is obtained in this case.

Please help immediately it’s due today

Answers

Granite rough and has ridges
Obsidian more smooth and hard
Pumice red and bumpy
Scoria grey and rough like

What is mineral deficiency linked to

Answers

Answer:

Mineral deficiencies can lead to a variety of health problems, such as weak bones, fatigue, or a decreased immune system.

Explanation:

There are five main categories of mineral deficiency: calcium, iron, magnesium, potassium, and zinc.

One major cause of mineral deficiency is simply not getting enough essential minerals from food or supplements.

Answer:

it can lead to a variety of health problems, such as weak bones, or a decreased immune system.

Explanation:

What is the process called to prepare a ceramic by heating a slurry of a powder of an inorganic substance in water to a very high temperature under pressure

Answers

Answer: The process that is used to prepare ceramic is sintering.

Explanation:

Sintering is defined as the process in which number of particles are fused together to form one solid mass by the applying pressure at high temperatures.

Ceramic is an material that is made by taking mixtures of clay, earthen elements, powders and water.

When this mixture (slurry of the powders) is heated at a very high temperature and under high pressure, ceramic is formed.

Hence, the process that is used to prepare ceramic is sintering.

A piston is filled with 80.4 liters of chlorine gas, Cl (8), at standard temperature and pressure (STP.) What is the mass of chlorine in the
piston?
The molar mass of Cl2(g) is 70.9 g/mol.
Type your answer

Answers

Answer:

Mass = 19.85 g

Explanation:

Given data:

Volume of chlorine gas = 80.4 L

Temperature = standard = 273.15 K

Pressure = standard = 1 atm

Mass of chlorine = ?

Molar mass of chlorine gas = 70.9 g/mol

Solution:

PV = nRT

R = general gas constant = 0.0821 atm.L/mol.K

By putting values,

1 atm × 80.4 L = n× 0.0821 atm.L/mol.K  × 273.15 K

80.4 atm.L = n× 22.43 atm.L/mol

n = 22.43 atm.L/mol / 80.4 atm.L

n = 0.28 mol

Mass of Cl₂:

Mass = number of moles × molar mass

Mass = 0.28 mol × 70.9 g/mol

Mass = 19.85 g

The table here provides the temperature at mount rainer in Washington state at different elevations of September 3 2014 a temperature was recorded on the same mountain at the same time the temperature was 8c at what elevation was the temperature most likely taken

Answers

Answer:

2000 m

Explanation:

From the question given above, the following data were:

Elevation (m) >>>>>> Temperature (°C)

4000 >>>>>>>>>>>>> –8

3500 >>>>>>>>>>>>> –4

3000 >>>>>>>>>>>>> 0

2500 >>>>>>>>>>>>> 4

Temperature = 8 °C

Elevation =?

A careful observation of the table shows that:

Elevation is reducing with 500 m, while the temperature is increasing with 4 °C.

Next, we shall determine number of increase in the temperature. This can be obtained as follow:

Last Temperature from the table = 4 °C

New temperature = 8 °C

Difference = 8 °C – 4 °C

Number of Increase = difference / 4 °C

Number of Increase = 4 °C / 4 °C

Number of Increase = 1

Thus, the temperature increased just ones from 4 °C to 8 °C

Since the temperature increased just ones from 4 °C to 8 °C, it means the elevation will decrease just ones i.e

Last elevation from the table = 2500 m

Decrease factor = 500 m

New elevation = 2500 – 500

New elevation = 2000 m

Thus, the temperature (i.e 8 °C) was recorded at an elevation of 2000 m

C2H5OH + 302 →2C02 + 3H20, what is the mole ratio
of ethanol to water?

Answers

The mole ratio  of ethanol to water : 1 : 3

Further explanation

Given

Reaction

C2H5OH + 302 →2C02 + 3H20

Required

The mole ratio

Solution

In a chemical reaction equation, the mole ratio of the reacting compound (reactants or products) is indicated by the reaction coefficient

The reaction coefficient is determined from the number of elements reacting by holding the principle that the number of elements in the reactants is equal to the number of elements in the product

In the above reaction, the ethanol-C2H5OH coefficient is 1 while the reaction coefficient of water-H20 is 3 so that the mole ratio = 1: 3

Which compound has the most hydrogen atoms?

A. NaOH B. C2H4O C. H3PO4 D. (NH3)2SO4

Answers

The answer is B because there are two hydrogen atoms

Can some please answer these two questions?

Answers

Answer:

1. Mass of potassium (K) = 203.32 g

2. Number of mole of As = 7.53 moles

Explanation:

1. Determination of the mass of potassium (K)

Molar mass of K = 39.1 g/mol

Number of mole of K = 5.2 moles

Mass of K =.?

Mole = mass / Molar mass

5.2 = mass of K / 39.1

Cross multiply

Mass of K = 5.2 × 39.1

Mass of potassium (K) = 203.32 g

2. Determination of the number of mole of Arsenic (As)

Molar mass of As = 74.92 g/mol

Mass of As = 563.9 g

Number of mole of As =.?

Mole = mass /Molar mass

Number of mole of As = 563.9 / 74.92

Number of mole of As = 7.53 moles

Name the following ionic compounds. Use the periodic table, the table of common polyatomic ions, and
the transition metal charges chart found here.
Al₂O3:
I
Name
Formula and
Charge
DONE
Ammonium
NH4
Hydroxide
OH
Nitrate
Carbonate
NO3-
CO32-
SO,2-
PO, 3-
Sulfate
Phosphate

Answers

Answer: aluminum oxide

Explanation:

Answer:

aluminum oxide

Explanation:

Consider the procedures in a simple experiment used to demonstrate the behavior of gases
1 Remove the end cap from the tip of a 35-ml plastic syringe.
2. Remove plunger from the syringe and insert a balloon into the syringe,
3. Place plunger back in syringe so the volume reading is approximately at the 15-mi mark
4. Using a finger, seal the the syringe,
5. Pull the plunger out
Select ALL of the statements that help to explain what occurs once the plunger is pulled out.
A)
The pressure inside the balloon increases
B)
The pressure inside the syringe chamber decreases
C)
The lower pressure on the balloon causes its volume to increase
D)
When the syringe plunger is pulled out, the amount of gas increases,
E)
When the syringe plunger is pulled out, the volume of the chamber
increases

Answers

Answer:

B, C, E

Explanation:

did usatestprep

When the plunger is pulled out, pressure inside syringe decreases, lower pressure on balloon causes volume to increase,volume of the chamber also increases.

What is pressure?

Pressure is defined as the force applied on an object perpendicular to it's surface per unit area over which it is distributed.Gauge pressure is a pressure which is related with the ambient pressure.

There are various units by which pressure is expressed most of which are derived units which are obtained from unit of force divided by unit of area . The SI unit of pressure is pascal .

It is a scalar quantity which is related to the vector area element with a normal force acting on it.It is distributed over solid boundaries and across arbitary sections of fluid normal to the boundaries at every point.

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Construct your RNA chain from the following sequence of DNA: GGCTTACGGTAA.

Answers

The Answer to this question is CCGAAUGCCAUU

Answer:

GGCTTACGGTAA. = CCGAATGCCATT

Explanation:

.

Calculate the number of molecules in 0.5 mol of sulfur dioxide, SO2.

Describe what is meant by a mole of sodium atoms. I need answers ASAP

Answers

We know, 1 mole of any element/compound contains 6.022 × 10²³ atoms/molecules .

Now, we have to calculate the number of molecules in 0.5 mole of sulfur dioxide, SO₂.

So, number of molecules of SO₂ in 0.5 mole is :

[tex]n = 0.5\times 6.022\times 10^{23}\\\\n = 3.011\times 10^{23}[/tex]

Therefore, number of molecules in 0.5 mole of SO₂ is 3.011 × 10²³.

If a solution has equal numbers of hydronium
and hydroxide ions, what is its pH?

ANSWER NOWW PLS I NEED HELP

Answers

Answer:

neutral!

pH = 7

Explanation:

⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄

how does the muscular sytem/muscles help with walking
pls asnwer asap

Answers

Answer:

they work with the skeletal system and joints to expand and contract, making a motion.

Explanation:

muscles in your knee pull, then release. do that again and again, and you'll be walkin

Answer:

You're able to walk because of your skeletal muscles

Explanation:

Muscles move body parts by contracting and then relaxing. Muscles can pull bones, but they can't push them back to the original position. So they work in pairs of flexors and extensors. The flexor contracts to bend a limb at a joint.

Hope this helps :)

Please help me with this

Answers

Answer:

D

Explanation:

compound 1 probably ether and compound 3 1-bromo ethane have 2 carbon atoms

what is the atomic number of an atom woth six valence electrons?
(A) 8
(B)10
(C) 12​

Answers

Answer:

8

Explanation:

The atomic mass of an atom refers to the number of protons in the nucleus of an atom. Hence, an element with 6 valence electron mean that it has 6 electrons in its outermost shell.

The atomic Number of elements with 6 valence electrons cannot necessarily be the same, however, elements with 6 valence electrons belong to group six on the periodic table.

From the options given above, :

Atomic number of 8 :

Configuration : 2, 6

Atomic number of 10 :

Configuration : 2, 8

Atomic number of 12 :

Configuration : 2, 8, 2

Hence, only the element with atomic number of 8 has 6 valence electrons in its outer most shell, hence, the answer.

What is the formula for this
ionic crystal?

Answers

69 nice hoemmdmdmdkdjd

The ionic formula for the ionic crystal is Fe₃O₂

Ionic crystals are solid, crystalline ionic substances that are made up of ions linked together in a regular lattice structure by electrostatic attraction.

From the given structure; the key element shows that:

Fe is denoted by the red electrons, andO is denoted by the blue electrons

Therefore, from the diagram, the correct formula of the ionic crystal by considering the lone pairs and valence electrons is Fe₃O₂

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Choose the correct statement for this question: If two objects have different temperatures, in which direction will heat move? For how long?

1. Heat moves from hot to cold objects/areas, and it never stops.
2. Heat moves from cold to hot object/areas.
3.Heat moves from hot objects/areas to cold areas and stops moving once it reaches a thermal equilibrium.

Answers

I would go with the first one

Draw the reactants and complete the mechanism by drawing in the appropriate electron-flow arrows (including stereochemistry) for the following SN2 reaction of an alkyl bromide. Represent the nucleophile as an ion. Draw all missing reactants and/or products in the appropriate boxes by placing atoms on the grid and connecting them with bonds, including charges where needed. Indicate the mechanism by drawing the electron-flow arrows on the molecules. Arrows should start on an atom or a bond and should end on an atom, bond, or where a new bond should be created.

Answers

Answer:

Wow I don't that hhehehe sorry

Which of these happens when the warm water gets to the North and South Poles

Answers

Answer:It creates a heat source on the cold water and the molecules act against each other and then it becomes steam.

Explanation:I had to take this on a test.

The end point indicates the completion of the titration by physical change (which is
usually color change)*

True
False

Answers

your answer would be, true.
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Which of the following is not true about the development of railroads in the first half of the nineteenth century?The Rocket inspired American inventors to turn their attention to railroads.Railroad companies could never agree to use the same gauge - the space between the rails.Americans even began talking of building a railroad all the way to the Pacific Ocean.Railroad companies eventually replaced wooden railroad tracks with ones made of iron. In which sentence is the word tout used correctly?A: The teacher would tout the lesson carefully to the students.B: The writer tried to tout the advantages and disadvantages to his readers.C: The owner liked to tout the benefits of the neighborhood to potential home buyeD: When asked for advice, Mary will tout a balanced perspective. The case of Brown v. the Board of Education of Topeka ruled that all schools must integrate. In which state was this ruling challenged in 1957?New YorkTexasAlabamaArkansas yo can anybody answer this for me HELP ME PLZ ITS DUE 10 MINS I NEED HELP PLZ 70 POINTS 70 POINTS 70 POINTS 70 POINTSHELP ME PLZ ITS DUE 10 MINS I NEED HELP PLZ 70 POINTS 70 POINTS 70 POINTS 70 POINTSHELP ME PLZ ITS DUE 10 MINS I NEED HELP PLZ 70 POINTS 70 POINTS 70 POINTS 70 POINTS the half-life of sodium-24 is 15 days. A laboratory technician measures out a 72 g sample. Approximately how many grams of sodium-24 would remain after 45 days? list the next four multiples of each fraction 1/4 What is the distance between 7 and -1? Yall have any tips on staying awake in class, I keep falling asleep A. 8B. -1C. -8D. 1 Find the value of x please!!! Rlly important! Compare and contrast the three types of muscle tissue. skeletal muscle, cardiac muscle, and smooth muscle. how do you simplify 2m2m ? why is there a difference between potential and kinetic energy? The mean, as a measure of location, would be inappropriate for which of the following? A. Ages of adults at a senior citizen center. B. Number of pages in textbooks on statistics. C. Incomes of lawyers. D. Marital status of college students at a university. HELPPPPP *LOOK AT PICTURE* my friend need help on this im just tryna help him :) which is the best definition of a molecule Hight and weight are positively correlated this means Block A of mass M is at rest and attached to the top of a spring. The block compresses the spring a distance d from its uncompressed length at equilibrium. Block B of mass 2M is released from rest at a height h above block A . The two blocks collide and stick together. Express all answers in terms of d , h , M , and physical constants, as appropriate.Required:a. Derive an expression for the spring constant k of the spring.b. Derive an expression for the speed of block B just before it collides with block A.c. Derive an expression for the speed of the blocks immediately after the collision.d. Derive an expression for the maximum compression of the spring after the collision.e. If the collision between the blocks was elastic, would the maximum compression of the spring be greater than, less than, or equal to that found in part (d)? Justify your answer.