Practice: Solve each of the following problems using dimensional analysis (or another method). Show your work. (Use a periodic table to look up the necessary atomic masses.) A. 75 g KMnO4 = molecules KMnO4 B. 7.23 × 1024 Al atoms = grams Al C. 9.23 × 1023 Au atoms = moles Au D. 125 g H3PO4 = molecules H3PO4 E. 0.75 moles CO2 = total atoms

Answers

Answer 1

Answer:

Explanation:

A )

molecular weight of KMnO₄ =   158

75 g KMnO4 = 75 / 158 moles

= ( 75 / 158 )x 6.02 x 10²³ molecules

= 2.857 x 10²³ molecules KMnO4

so 75g KMnO₄ = 2.857 x 10²³ molecules KMnO4

B )

7.23 × 10²⁴ Al atoms = grams Al

72.3 X 10²³ Al atoms = 72.3 X 10²³ / 6.02 X 10²³ moles of Al

= 12 moles of Al

= 12 x 27 gm of Al

= 324 gm of Al .

7.23 × 10²⁴ Al atoms = 324 grams Al

C )

9.23 × 10²³ Au atoms = moles Au

9.23 × 10²³Au atoms = 9.23 × 10²³ / 6.02 x 10²³ moles of Au

= 1.53 moles of Au .

D )

125 g H₃PO₄ =   molecules H₃PO₄

125 g H₃PO₄ = 125 / 98 moles of H₃PO₄

= (125 / 98) x 6.02 x 10²³ molecules

= 7.678 x 10²³ molecules of H₃PO₄

125 g H₃PO₄ = 7.678 x 10²³  molecules H₃PO₄

E )

.75 moles of CO₂

= .75  x 6.02 x 10²³ molecules of CO₂

= 4.515 x 10²³ molecules of CO₂.

one molecule of CO₂ = 3 atoms

4.515 x 10²³ molecules of CO₂ = 3 x 4.515 x 10²³ atoms

= 13.545 x 10²³ atoms .

Answer 2

The molecules, atoms, and weight of all elements and compounds has been calculated.

(A) To calculate the molecules of a compound:

Molecules = [tex]\rm moles\;\times\;avagadro\;number[/tex]

Moles = [tex]\rm \frac{weight}{molecular\; weight}[/tex]

Moles of [tex]\rm KMnO_4[/tex] = [tex]\rm \frac{75}{158}[/tex]

Moles of [tex]\rm KMnO_4[/tex] = 0.474

Molecules of [tex]\rm KMnO_4[/tex] = [tex]\rm 0.474\;\times\;6.023\;\times\;10^2^3[/tex]

Molecules of [tex]\rm KMnO_4[/tex] = 2.85 [tex]\rm \times\;10^2^3[/tex]

(B) Weight of Al:

moles = [tex]\rm \frac{atoms}{avagadro\;number}[/tex]

Moles of Al = [tex]\rm \frac{7.23\;\times\;10^2^4}{6.023\;\times\;10^2^3}[/tex]

Moles of Al = 12

Weight of Al = [tex]\rm moles\;\times\;molecular\;weight[/tex]

Weight of Al = 12 [tex]\times[/tex] 27

Weight of Al = 324 grams

(C) Moles = [tex]\rm \frac{atoms}{avagadro\;number}[/tex]

Moles of Au = [tex]\rm \frac{9.23\;\times\;10^2^3}{6.023\;\times\;10^2^3}[/tex]

Moles of Au = 1.53 mol/liters

(D) Molecules = [tex]\rm moles\;\times\;avagadro\;number[/tex]

Moles = [tex]\rm \frac{weight}{molecular\; weight}[/tex]

Moles of [tex]\rm H_3PO_4[/tex] = [tex]\rm \frac{125}{98}[/tex]

Moles of [tex]\rm H_3PO_4[/tex] = 1.275

Molecules of [tex]\rm H_3PO_4[/tex] = 1.275 [tex]\rm \times\;6.023\;\times\;10^2^3[/tex]

Molecules of [tex]\rm H_3PO_4[/tex] = [tex]\rm 7.678\;\times\;10^2^3[/tex]

(E) Atoms of [tex]\rm CO_2[/tex]:

Molecules = [tex]\rm moles\;\times\;avagadro\;number[/tex]

Molecules of [tex]\rm CO_2[/tex] = 0.75 [tex]\rm \times\;6.023\;\times\;10^2^3[/tex]

Molecules of [tex]\rm CO_2[/tex] = 4.515 [tex]\rm \times\;10^2^3[/tex]

1 molecule of [tex]\rm CO_2[/tex] = 3 atoms

4.515 [tex]\rm \times\;10^2^3[/tex] molecules = [tex]\rm 4.515\;\times\;10^2^3\;\times\;3[/tex]

Atoms of [tex]\rm CO_2[/tex] = 13.545 [tex]\rm \times\;6.023\;\times\;10^2^3[/tex]

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Related Questions

Identify the correct statement regarding the strength of chemical bonds.
Weak bonds require more surface area to form than strong bonds.
A weak bond forms from a smaller change in energy compared to a strong bond.
Strong bonds occur with high temperature and weak bonds with low temperature.
Weak bonds require more heat to form than strong bonds.

Answers

Answer:

B.

Explanation:

A weak bond forms from a smaller change in energy compared to a strong bond.

sea water boiling below 100 degrees celsius true or false

Answers

Answer:

Explanation:

its true

hope this helps

plz mark as brainliest!!!!!

Answer:

True

Explanation:

what is the mass of 1.5 mol of aluminum?

Answers

Answer:

40.47 g Al

Explanation:

In 1 mol of Al, there are 26.98 grams of Al, so Al is 26.98 g/mol.

Simply multiply 1.5 by 26.98 to get your answer.

The initial temperature of a bomb calorimeter is 28.50°C. When a chemist carries out a reaction in this calorimeter, its temperature decreases to 27.45°C. If the calorimeter has a mass of 1.400 kg and a specific heat of 3.52 J/(gi°C), how much heat is absorbed by the reaction?

Answers

Answer:

D. 5,170 J

Explanation:

A glass cup of orange juice is found to have pOH of 11.40. Calculate the concentration of the hydrogen ions in the juice.​

Answers

Answer: The concentration of hydrogen ion is 2.5 x 10∧-3.

Explanation:

It is well known that; pH + pOH = 14

∴ pH + 11.40 = 14

  pH = 14 -11.40 = 2.60

Remember that,

pH = - Log [ H+ ]

2.60 = - log [H+]

To get the  hydrogen ion concentration, we take the anti-log of 2.60.

[H+] = Antilog 2.60 = 2.5 x 10∧-3.

Two oxide of sulphur,A and B were analyzed and the results obtained showed that in oxide A,3.50g of sulphur combined with 6.00g of oxygen and in oxide B,2.80g of sulphur combined with 9.55g.Show that this result illustrate the law of multiple proportion

Answers

Answer:

See Explanaton

Explanation:

The law of multiple proportions states that when two same elements form more than a compound, the different masses of one element that combine with the same mass of the other element are in the ratio of small whole numbers.

Oxide A

3.50g of sulphur combined with 6.00g of oxygen

Oxygen:Sulphur = 6 : 3.5

Oxide B

2.80g of sulphur combined with 9.55g

Oxygen : Sulphur = 9.55 : 2.8

Therefore:

The ratio of Oxygen to Sulphur in Oxides A and B is:

[tex]\dfrac{\text{Oxygen}}{\text{Sulphur}} \implies \dfrac{6}{3.5}:\dfrac{9.55}{2.8} = \dfrac{1.7}{1}:\dfrac{3.4}{1}=1:2[/tex]

Ratio of Oxygen=1:2

There is exactly twice in Oxide B as in Oxide A.

This result illustrates the law of multiple proportions.

what is the molar mass of magnesium tartrate

Answers

Answer:

172.385 g/mol

Explanation:

Magnesium Tartrate is C4H4MgO6

C - 12.01 g/mol

H - 1.01 g/mol

Mg - 24.305 g/mol

O - 16.00 g/mol

12.01(4) + 1.01(4) + 24.305 + 16(6) = 172.385 g/mol

Answer:

172.38

Explanation:

[tex]C_4H_4MgO_6\\C=12.01\\H=1.01\\Mg=24.30\\O=16.00\\\\4(12.01)+4(1.01)+24.30+6(16.00)\\48.04+4.04+24.30+96\\=172.38[/tex]

C = 12.01

H=1.01

Mg=24.30

O =16.00

4(12.01)+4(1.01)+24.30+6(16.00)

48.04 +4.04+24.30+96

=172.38

sodium chloride is called an electrovalent compound where as carbon dioxide is called covalent compound why​

Answers

it has strong attraction to the nuclues

Electrovalent compounds are those that are created when one or more electrons are transferred from one atom to another inside the compound. NaCl is an electrovalent substance because it shares an electron with other compounds to produce them.

What are compounds ?

A material created by chemically joining two or more distinct components. Examples of compounds are table salt (NaCl), which is generated from the elements sodium and chloride, and water (H2O), which is created from the components hydrogen and oxygen.

One carbon atom and two oxygen atoms combine to form carbon dioxide. One carbon dioxide molecule contains four covalent connections. Because neither carbon nor oxygen are metals, we can infer that carbon dioxide is a covalent molecule.

Pure substances known as compounds are created chemically when two or more elements are combined in a specific mass proportion. Chlorine and sodium combine to form sodium chloride (common salt).

Thus, sodium chloride is called an electrovalent compound whereas carbon dioxide is called covalent compound.

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Calculate the payback time if she insulates the loft with 300 mm insulation when: area of loft space = 100m^2 cost of roll of 100 mm thick loft insulation that covers 8.3m^2 = £20 cost of putting the insulation into the loft = £120 savings per year = £80 per 100 mm Payback Time = installation cost divided by annual savings

Answers

Answer: Payback time = 0.0075

Explanation: Since payback time is calculated as:

payback time = [tex]\frac{installation cost}{annual savings}[/tex]

First determine the installation cost:

100 mm thick insulation covers 8.3 m². Then 300 mm covers 24.9 m².

To cover 8.3m² costs £20. Then, the cost to cover 24.9 m² is:

cost = [tex]\frac{20*24.9}{8.3}[/tex]

cost = £60

The cost of putting the insulation is £120, so the total cost is:

total cost = £60 + £120

total cost = £180

Savings per year per 100 mm thick is £80. For 300 mm, the value of annual savings is:

savings = [tex]\frac{300*80}{100}[/tex]

savings = 240

payback time = [tex]\frac{installation cost}{annual savings}[/tex]

payback time = [tex]\frac{180}{240}[/tex]

payback time = 0.75

how many atoms are contained in 2.70g of aluminum provided that 32g of sulphur equals 6.02 × 10^(23)atoms​

Answers

Answer:

[tex]1.63 \times {10}^{24} [/tex]

one atom of an element = 6.02 \times {10}^{23} atom

The mass of one atom of sulphur = 32g

The mass of one atom of aluminium = 27g

so one atom of aluminium = 6.02 \times {10}^{23}

27g of AL = 6.02 \times {10}^{23} atom

2.70g of AL = X atoms

Then you cross multiply ........

and get the answer

.

Consider an electrochemical cell based on the spontaneous reaction 2AgCl(s) + Zn(s) → 2Ag(s) + 2Cl– + Zn2+. If the zinc ion concentration is kept constant at 1 M, and the chlorine ion concentration is decreased from 1 M to 0.001 M, the cell voltage should:

Answers

Answer:

there is an increase by 0.18 V in the cell voltage.

Explanation:

The given equation of the reaction can be well written as

[tex]2AgCl_{(s)} + Zn _{(s)} \to 2Ag_{(s)} + 2 Cl^- _{(aq)}+ Zn^{2+}_{(aq)}[/tex]

By application of Nernst Equation ; we have the expression

[tex]E_{cell} = E^0- \dfrac{0,059}{n}log (\dfrac{[product]}{[reactant]})[/tex]

here in the above equation;

n = number of electrons transferred in the equation of the reaction

n = 2

Also;

[tex]E^0 = E_{cathode} - E_{anode}[/tex]

[tex]E^0 = E_{Ag^+/Ag} - E_{Zn^+/Zn}[/tex]

[tex]E^0 = +(0.80 \ V) - (-0..76 \ V)[/tex]

[tex]E^0 = (0.80 \ V +0..76 \ V)[/tex]

[tex]E^0 = 1.56 \ V[/tex]

If the zinc ion concentration is kept constant at 1 M; we have:

[tex]E_{cell} = E^0- \dfrac{0.059}{n}log (\dfrac{[product]}{[reactant]})[/tex]

[tex]E_{cell} = 1.56 - \dfrac{0.059}{2}log ({[Zn^{2+} ]}{[Cl^{2-}]})[/tex]

[tex]E_{cell} = 1.56 - \dfrac{0.059}{2}log (1)[/tex]

Since log(1) = 0

Therefore;

[tex]E_{cell} = 1.56\ V[/tex]

When the chlorine ion concentration is decreased from 1 M to 0.001 M; we have;

[tex]E_{cell} = E^0- \dfrac{0.059}{n}log (\dfrac{[product]}{[reactant]})[/tex]

[tex]E_{cell} = 1.56 - \dfrac{0.059}{2}log ({[Zn^{2+} ]}{[Cl^{2-}]})[/tex]

[tex]E_{cell} = 1.56 - \dfrac{0.059}{2}log ({[1*0.001^2}]})[/tex]

[tex]E_{cell} = 1.56 - 0.0295 \ * \ log ({[1*10^{-6}}]})[/tex]

[tex]E_{cell} = + 1.737 \ V[/tex]

The change in voltage = [tex]E_{cell} - E^0[/tex]

=( 1.737 - 1.56 )V

= 0.177 V

≅ 0.18 V

Thus; from the following observation; there is an increase by 0.18 V in the cell voltage.

The voltage of the cell increased by 0.18 V.

The equation of the reaction is; 2AgCl(s) + Zn(s) → 2Ag(s) + 2Cl– + Zn2+

We know that;

E°cell = 1.36 - (-0.76) = 2.12 V

If the cells are both at 1M concentration the Ecell = E°cell = 2.12 V

When the concentration of Cl- decreased from 1 M to 0.001 M

Ecell =  E°cell - 0.0592/n log Q

Substituting values;

Ecell = 2.12 V -  0.0592/2 log (1 × (0.001)^2)

Ecell = 2.298 V

Increase in voltage = 2.298 V - 2.12 V = 0.18 V

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What biological sample do home pregnancy tests use to detect pregnancy?

Answers

Answer:

The biological sample that pregnancy tests use to detect pregnancy is urine

Answer:

yes

Explanation:

the urine in the the tester will find hormones to determine if pregnant or not

Which part of the electromagnetic spectrum is nearest to X-rays? microwaves infrared light gamma rays radio waves

Answers

Answer:

The correct answer to the following question will be Option A (Microwaves).

Explanation:

This tends to be a source of radiation, including some signals, infrared radiation, x-rays as well as gamma.  This appears to have a diverse variety of uses, involving communications, radar, and scheduling, but best known by most individual people. Sections of society used handheld devices, including tablets, as well as WiFi.

The other given choices are not related to the given circumstances. So that option A seems to be the appropriate one.

Answer:

its a

Explanation:

Electrical potential is the amount of energy that is available to do what?
A.
attract atoms to each other
B.
move atoms from one half cell to another half cell
C.
move electrons from anode to cathode
D.
move electrons from cathode to anode

Answers

C.

move electrons from anode to cathode

Step-by-step Explanation

Electrical potential is the amount of energy that is available to move electrons from anode to cathode

Answer:

move electrons from anode to cathode

Explanation:

Plato

what is meant by amoeba and what is the name of its parts​

Answers

Answer:

amoeba is the unicellular organism which can be seen by only microscope but not with our nacked eyes

Answer:

An amoeba often called an amoeboid, is a type of cell or unicellular organism which has the ability to alter its shape, primarily by extending and retracting pseudopods Amoebae do not form a single taxonomic group; instead, they are found in every major lineage of eukaryotic organisms. Amoeboid cells occur not only among the protozoa, but also in fungi, algae, and animals.

name of parts of ameoba

3 parts – the cytoplasm, plasma membrane and the nucleus. The cytoplasm can be differentiated into 2 layers – the outer ectoplasm and the inner endoplasm. The plasma membrane is a very thin, double-layered membrane composed of protein and lipid molecule

i hope this will help you

What mass of nickel (Ni) is in a 2.4 Kg sample of propanol if the concentration is 20 ppb ? (atomic mass of Ni = 58.69)

Answers

Answer:

The mass of nickel is 48μg

Explanation:

Parts per billion is a way to describe small concentrations and is defined as the ratio between μg of solute and kg of solvent.

If a solution of nickel in propanol is 20ppb, contains 20μg of nickel in 1 kg of propanol.

Thus, a sample of 2.4kg of propanol will contain:

2.4kg × (20μg nickel / 1kg) = 48μg nickel

The mass of nickel is 48μg

c. Write a complete ionic equation for the reaction and identify the spectator ions.

Answers

Answer is 6 Na + (aq) +3 CA swaured + 6 CI- (aq)

The required  complete ionic equation of the reaction

Pb(NO3)2+2KI---->PbI2+2KNO3   is   Pb2+(aq) + 2 I−(aq) → PbI2(s)

What is ionic equation?

A chemical equation in which the electrolytes in aqueous solution are expressed as dissociated ions.

Spectator ions in above equation are as follows- K +and NO3−

Define spectator ions.

Ions that are not involved in the actual chemical reaction are called spectator ions.

Net ionic equation of given reaction isPb⁺²+2I ⁻¹⟶PbI₂It shows only the ions which involves in the chemical reaction.

Therefore, K⁺ and NO3⁻ are spectator ions.

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a heating fan is supplied with 150 j of electricity which is nonverts to 113 j of thermal energy and 37 j of sound energy
How efficient is the heating fan?

Answers

Answer:

Heating Fan is 75.33% efficient.

Explanation:

As it is mentioned that the given fan is a HEATING FAN, it means the it is used for provided heat (thermal energy) to the surrounding. Hence, its efficiency depends upon how much heat/thermal energy is provides.

We can state that.

Total Energy provided = 150 J

Useful Energy = 113 J

Wasted Energy = 37 J

The efficiency of the heating fan can be given by following formula:

Efficiency = ( Useful Energy / Total Energy ) × 100

Efficiency = ( 113 J / 150 J) × 100

Efficiency = (0.7533)× 100

Efficiency = 75.33%

For each of the compounds, find the length of the longest carbon chain in the box provided.
CH,
CH3 -CH2-CH2-CH2-CH-CH2-CH2 - CH2 - CH3
CH,CH,CH,
HC
CH-CH2-CH3
CH,CH.CHCCH,CH,CH,
1
CH2
H.C CH.CH
CH3
<​

Answers

Answer:

In First compound the longest chain contains 7 C atoms.

In the Second compound the longest chain contains 9 C atoms.

In the Third compound the longest chin contains 7C atoms.

Explanation:

In first compound the longest chain contains 7 carbon atoms.In the second compound the longest chain contains 9 carbon atoms.In the third compound the longest chin contains 7 carbon atoms.

What is an atom?

An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.

The protons are positively charged and neutrons are neutral and hence the nucleus is positively charged. The electrons which revolve around the nucleus are negatively charged and hence the atom as a whole is neutral and stable due to presence of oppositely charged particles.

Atoms of the same element are similar as they have number of sub- atomic particles which on combination do not alter the chemical properties of the substances.

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Which is one way that a short-term environmental change will most likely affect organisms within an ecosystem? A)It will lead to larger populations. B)It will lead to speciation. C)It will lead to adaptation. D)It will lead to forced migration.

Answers

Answer:

D)It will lead to forced migration.

Explanation:

Forced migration is an involuntary, sudden movement of organisms from one geographical location to another. This is often in response to short term environmental changes such as drought, famine, etc

When an ecosystem suddenly comes under stress due to these short term environmental changes, organisms may not be left with any other choice but to move or go to new locations in the quest for survival. The organisms may not have left the ecosystem in the absence of such short term ecological stress. This is what is meant by forced migration.

Answer:

D forced migration

Explanation:

Which of the following is the best definition of a physical change?

A. Something that can be observed or measured while changing the identity of the substance.

B. A nail rusting.

C. A change that occurs without changing the identity of the substance.

D. Ice melting into water.

Answers

Answer:

the answer is D.ice melting into water

Which question would most likely be studied by a physicist?
A. Were there ever any living organisms on Mars?
B. How can the forces on a space probe be controlled so it will land
on Mars?
O C. What type of substances make up the soil on Mars?
O D. Should the government spend taxpayers' money to send space
probes to Mars?

Answers

Answer:A

Explanation: Were there any living organisms is the answer because physics is the study of matter,its motion and behaviour of space and time and some other topics like energy and force.

Answer:

B

Explanation:

Forces and vectors on a probe are a physics thing

What is equilibrium?? Give examples

Answers

Answer:

it is when a state in which opposing forces or influences are balanced.

A example of equilibrium is in economics  supply and demand are equal.

Explanation:

Answer:

Compromise of 1850

Explanation:

DUE IN 30 MINUTES!!! (please keep it short if you can, if not its ok.) What is the molar mass of Pb(SO4)2? Explain how you calculated this value. (4 points)

Answers

Answer:

399

Explanation:

Pb(SO4)2 contains 1 atom of Pb, 2 atoms of S and 8 atoms of O. So, atomic mass of Pb(SO4)2 is 207 + 64 + 128 = 399 u. Therefore, molar mass of Pb(SO4)2 is 399 g/mol.HOPE THIS helps. Good Luck

Answer:

The molar mass of Pb(SO₄)₂ is 399.32.

Explanation:

To find the molar mass of Pb(SO₄)₂, you have to find the molar mass of each individual element that makes up the compound.

Let's start by figuring out how many of each element is present in the compound.

Pb (lead) - 1

S (sulfur) - 2

O (oxygen) - 8

(SO₄)₂ is a polyatomic ion. It is written in parentheses followed by a subscript of 2. This means that there are two sulfate ions in the compound. So, the number of sulfur atoms and oxygen atoms doubles. (1 × 2 = 2) and (4 × 2 = 8).

Next, look up the molar mass of each element on a periodic table and multiply it by the number of atoms present.

Pb - 207. 2 × 1 = 207. 2

S - 32.06 × 2 = 64.12

O - 16.00 × 8 = 128

Lastly, add up them all together to get the molar mass.

207. 2 + 64.12 + 128 = 399.32

Phloem contains specialized cells that move sugars and other nutrients both
up and down in plants. Which object is the best model of one of these cells?
A. Water balloon

Answers

Answer:Drinking straw

Explanation: my quiz said so

The object that represents the best model of one of the phloem cells is the drinking straw.

What is Phloem?

Phloem may be defined as a type of vascular tissue in plants that significantly conducts the passage of sugars and other metabolic products from the leaves to the roots. This mediates the migration of sugar which is synthesized in the leaves during photosynthesis.

Apart from this, the phloem also regulates the movement of nutrients from the roots to the upper part of the body. This function of phloem cells shares homology with the object known as a drinking straw that mediates the transport of any fluid in both directions.

Therefore, a drinking straw is an object that represents the best model of one of the phloem cells.

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Your question seems incomplete. The most probable complete question is as follows:

Can openerWater balloonDrinking StrawKitchen strainer

Which refers to the density of the medium’s particles at the compression of a sound wave? A.amplitude B.pitch C.volume D.wavelength

Answers

Answer:

A is the answer.

Explanation:

The sound wave is a longitudinal wave which travels in the form of compression and rarefaction . The point where the particles are closer to each other is called compression and the point where the particles are far apart from each other is called rarefaction.

Answer:

Amplitude

Explanation:

Amplitude describes the displacement of the medium's particles. The higher the amplitude, the more dense it is, and the lower the amplitude, the less dense it is.

Pitch is incorrect because it describes the sound

Volume is incorrect because it describes the sound.

Wavelength is incorrect because it describes the distance between a period of a wave.

A 75 lb (34 kg) boy falls out of a tree from a height of 10 ft (3 m). i. What is the kinetic energy of the boy when he hits the ground? Round your answer to the nearest joule. ii. What is the speed of the boy when he hits the ground? Round your answer to two significant figures. iii. Using the conversion factors of 1 m = 1.094 yd and 1 mi = 1760 yd, calculate the speed of the boy in miles per hour when he hits the ground.

Answers

Answer:

Kinetic energy of boy just before hitting the ground is [tex]\approx[/tex]1000 J.

Speed of boy just before hitting the ground is 7.67 m/s

or 17.16 mi/hr.

Explanation:

Given that:

Mass of boy = 75lb = 34 kg

Height, h = 10ft = 3m

To find:

Kinetic energy of boy when he hits the ground.

As per law of conservation of energy The potential energy gets converted to kinetic energy.

[tex]\therefore[/tex] Kinetic energy at the time boy hits the ground = Initial potential energy of the boy when he was at the Height 'h'

The formula for potential energy is given as:

[tex]PE = mgh[/tex]

Where m is the mass

g is the acceleration due to gravity, g = 9.8 [tex]m/s^2[/tex]

h is the height of object

Putting all the values:

PE = [tex]34 \times 9.8 \times 3 \approx 1000\ J[/tex]

Hence, Kinetic energy is [tex]\approx[/tex]1000 J.

Formula for Kinetic energy is:

[tex]KE = \dfrac{1}{2}mv^2[/tex]

where m is the mass and

v is the speed

Putting the values and finding v:

[tex]1000 = \dfrac{1}{2}\times 34 \times v^2\\\Rightarrow v^2 = 58.82\\\Rightarrow v = 7.67\ m/s[/tex]

Given that:

1 m = 1.094 yd and 1 mi = 1760 yd

[tex]\Rightarrow 1609\ m = 1\ mi[/tex]

Converting 7.67 m/s to miles/hour:

[tex]\dfrac{7.67 \times 3600}{1609}=17.16\ mi/h[/tex]

Which consists of only one type of atom?

Answers

Answer:

A chemical element

Explanation:

A chemical element consists of only one type of atom.

After 273 m3 of ethylene oxide at 748 kPa and 525 K is cooled to 293 K, it is allowed to expand to 1100. m3. The new pressure is _____kPa

Answers

Answer:

[tex]\large \boxed{\text{104 kPa}}[/tex]

Explanation:

To solve this problem, we can use the Combined Gas Laws:

[tex]\dfrac{p_{1}V_{1} }{n_{1}T_{1}} = \dfrac{p_{2}V_{2} }{n_{2}T_{2}}[/tex]

Data:

p₁ = 748 kPa;  V₁ =   273 m³;  n₁ = n₁;  T₁ =  525 K

p₂ = ?;             V₂ = 1100. m³; n₂ =  n₁; T₂ =  293 K

Calculations:

[tex]\begin{array}{rcl}\dfrac{p_{1}V_{1}}{n_{1} T_{1}} & = & \dfrac{p_{2}V_{2}}{n_{2} T_{2}}\\\\\dfrac{\text{748 kPa}\times \text{273 m}^{3}}{n _{1}\times \text{525 K}} & = &\dfrac{p_{2}\times \text{1100. m}^{3}}{n _{1}\times \text{293 K}}\\\\\text{390.0 kPa} & = &3.754{p_{2}}\\p_{2} & = & \dfrac{\text{390.0 kPa}}{3.754}\\\\ & = & \textbf{104 kPa} \\\end{array}\\\text{The new pressure is $\large \boxed{\textbf{104 kPa}}$}[/tex]

what is Lfusion in the equation Q=mLfusion

Answers

Answer:

[tex]L_{\text{fusion}[/tex] is latent heat of fusion.

Explanation:

Latent heat is basically termed as hidden heat. It is defined as the amount of heat required to change 1 g of a substance at the temperature of its melting point from the solid to the liquid state at constant temperature.The formula that relates heat and latent heat of fusion is given by :

[tex]Q=mL_{\text{fusion}}[/tex]

Here,

m is mass of substance

[tex]L_{\text{fusion}[/tex] is latent heat of fusion.

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