What is the half‑life of an isotope that decays to 25% of its original activity in 85.8 h

Answers

Answer 1

Answer:

42.9 h

Explanation:

From the question given above, the following data were obtained:

Original amount (N₀) = 100%

Amount remaining (N) = 25%

Time (t) = 85.8 h

Half-life (t½) =?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Original amount (N₀) = 100%

Amount remaining (N) = 25%

Number of half-lives (n) =?

N = 1/2ⁿ × N₀

25 = 1/2ⁿ × 100

Cross multiply

25 × 2ⁿ = 100

Divide both side by 25

2ⁿ = 100/25

2ⁿ = 4

Express 4 index form with 2 as the base

2ⁿ = 2²

n = 2

Thus, two half-lives has elapsed.

Finally, we shall determine the half-life of the of the isotope. This can be obtained as follow:

Time (t) = 85.8 h

Number of half-lives (n) = 2

Half-life (t½) =?

n = t / t½

2 = 85.8 / t½

Cross multiply

2 × t½ = 85.8

Divide both side by 2

t½ = 85.8 / 2

t½ = 42.9 h

Thus, the half-life of the of the isotope is 42.9 h


Related Questions

How many mg does a 643 kg sample contain?

Answers

Answer:

\(6.43x19^8mg\)

Explanation:

Hello,

In this case, this unit conversion is performed by knowing that 1 kg of mass contains 1000 g and 1 g contains 1000 mg, therefore, the result is:

\(643kg*\frac{1000g}{1kg} *\frac{1000mg}{1g}\\ \\=6.43x10^8mg\)

Regards.

Need help with this chemistry lab ASAP!

Need help with this chemistry lab ASAP!

Answers

the answer is baking soda. in order to figure out which substance will neutralize the acid you can complete a simple experiment, by combining different mixtures of these items
vinegar and lime juice
lime juice and baking soda
vinegar and baking soda
when combining the vinegar and lime juice, nothing will happen as they are both acidic with a similar ph (between 2-3)
however when you combine either one of these liquids with baking soda, you will find that first you will experience foaming and the creation of lots of bubbles, however once it stops the liquid you are left with is essentially water and will have a relatively neutral ph as baking soda is a base (ph of 9) so once mixed with an acid it neutralizes to a ph of about 7 which is considered neutral.

Baking soda can be used to cure acidity as it a base and has a pH value of around 8-9.

What is a base?

According to the Arrhenius concept, base is defined as a substance which yields hydroxyl ions on dissociation.These ions react with the hydrogen ions of acids to produce salt in an acid-base reaction.

Bases have a pH higher than seven as they yield hydroxyl ions on dissociation.They are soapy in touch and have a bitter taste.According to the Lowry-Bronsted concept, base is defined as a substance which accepts protons .Base react violently with acids to produce salts .Aqueous solutions of bases can be used to conduct electricity .They can also be used as indicators in acid-base titrations.

They are used in the manufacture of soaps,paper, bleaching powder.Calcium hydroxide ,a base is used to clean sulfur dioxide gas while magnesium hydroxide can be used as an antacid to cure acidity.

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Calculate the mass of 1 ldm3 of NH3 gas at 3 degree C and 1 mm Hg pressure, considering that NH3 is ideally behaving
A) 0.99g
B) 0.89g
C) 0.9kg
D) 0.78g

Answers

your answer is A
hope this helps
B) 0.89g

That’s the real answer hope it’s help
Brain less answer pls

pls help with me who is good in science!!!​

pls help with me who is good in science!!!

Answers

Here are my answers since I examined the questions.

Question 1.

No! as a matter of fact, the Rock cycle has no Beginning and No End it's an infinite loop.

Question 2.

The Rock cycle can happen in both ways such as, Volcanic rock melts and cool downs happen quite quickly as in others happen slower.

Question 3.

The 4 Major Steps of the rate of change are, Weathering, Transportation, Deposition, And Compaction.

Question 4.

The main factor for this one would be: The mineral composition of the Parent Rock.

Question 5.

The Parent Rock and the Pressure/temperature conditions.

These all my answers for this project, Good Luck.

Write the chemical formula for this molecule

Write the chemical formula for this molecule

Answers

The answer is CH3COCl
Write the chemical formula for this molecule

How many moles of calcium chloride are there when you have 55.5 grams of calcium chloride(CaCl2)

Answers

Answer:

0.5mol

Explanation

Please mark answer as brainliest

How many moles of calcium chloride are there when you have 55.5 grams of calcium chloride(CaCl2)

Part B
Next, you’ll test your hypothesis from part A by examining the reaction times of vinegar and baking soda in water at four different temperatures. You’ll carry out the reaction using water at room temperature (about 25°C), 40°C, 60°C, and 80°C. Make sure that you use the same amounts of vinegar and baking soda for all three three trials.

Gather all the materials, and perform these steps for each trial:

Heat at least
cup (60 milliliters) of water to the required temperature (refer to the data table). Water may be heated on a stove, on a hot plate, or in a microwave oven.
Measure and record the actual temperature of the water.
Measure 1 tablespoon (15 milliliters) of the water into the cup.
Add
teaspoon (1.5 grams) baking soda to the water, and stir until it is dissolved. The solution will be clear.
Measure 1 tablespoon (15 milliliters) of vinegar, but do not pour it into the cup yet.
Very quickly, do all of the following:
a. Pour the measured vinegar into the cup.
b. Start the stopwatch.
c. Stir or carefully swirl the substances in the cup.
The chemical reaction will produce bubbles. You’ll be able to see the bubbles and hear them pop. Watch and listen for when the reaction stops. When it looks and sounds like it has finished, stop the stopwatch.
Record the reaction time in the data table.
Discard the solution down the drain, and rinse the cup.
Repeat steps 1–9 of this procedure, doing three trials for each water temperature. Record the average temperature and reaction time for each set of the three trials. Read this math review to know how to calculate average of a data set.

Answers

The reaction time decreases as the temperature increases of the reaction mixture increases.

A sample record of results is:

Temperature (°C) Trial 1 Trial 2 Trial 3 Average25°C 11 seconds 11 seconds 11 seconds 11 seconds40°C 8 seconds 8 seconds 8 seconds 8 seconds60°C 5 seconds 5 seconds 5 seconds 5 seconds80°C 3 seconds 3 seconds 3 seconds 3 seconds

What is the effect of an increase in temperature on reaction time?

An increase in temperature leads to an increase in reaction rate or a decrease in reaction time.

The increase in temperature provides more thermal energy to the reactant molecules, which leads to an increase in the average kinetic energy of the molecules. As a result, more reactant molecules have sufficient energy to overcome the activation energy barrier and undergo successful collisions, leading to an increased reaction rate.

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The diagram below shows the branching tree diagram for humans. The text box below it shows the set of derived shared characteristics for the branching tree.

A slanting, horizontal line is shown. On the extreme left, there is a label that says Common Ancestor. Along the slanting, horizontal line there are five dots labeled from left to right as 1, 2, 3, 4, and 5. There is one vertical line between each of the consecutive five dots. The lines are labeled from left to right as Perch, Frog, Pigeon, Rats, and Human. A text box below the branching tree diagram is labeled Derived Shared Characteristics. In the box it says from left to right, Terrestrial during all stages, Jaws, Walking on two legs, Mammary glands and hair, and Four limbs.

Look at the possible derived shared characteristics, shown in the text box. Think about where these should be placed along the branching tree diagram. From the text box, select a shared derived characteristic that humans and rats have. Explain why you think humans and rats share this characteristic.

Answers

Perch, frog, pigeon, and other species evolution would not have arisen prior to the derived shared trait of jaws and after the common ancestor.

How did the structure of the teeth of our ancestors change over time?

The development of jaws in the bodies of our ancestors was a critical phase in the evolution of vertebrates, including humans. The earliest jawed vertebrates, called gnathostomes, descended from jawless fish and appeared in the fossil record around 420 million years ago.

What traits are similar between rats and people?

Rats and people are both warm-blooded creatures that give birth to live children; both have similar organs, such as hearts and livers; both have comparable neurological systems; both employ comparable hormones to regulate body functions.

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(30 pts) Please find the correct answer.

(30 pts) Please find the correct answer.

Answers

Answer:2

Explanation: Acids do indeed conduct electricity (Love the one peice pfp btw)

What is the minimum volume (mL) of 4.00 M KOH required for the reaction below to go to completion (only products present at the end of the reaction) if 1.1798 g of aluminum foil is used?

2 Al(s) + 2 KOH(aq) + 6 H2O(l) → 2 KAl(OH)4(aq) + 3 H2(g)

Answers

The minimum volume of 4.00 M KOH required for the reaction to go to completion is 10.94 mL.

The first step is to determine the moles of aluminum foil used in the reaction. We can use the molar mass of aluminum to convert the given mass to moles:

1.1798 g Al / (26.98 g/mol Al) = 0.04375 mol Al

According to the balanced chemical equation, the reaction requires 2 moles of KOH for every mole of Al. Therefore, we need:

0.04375 mol Al x (2 mol KOH / 2 mol Al) = 0.04375 mol KOH

To calculate the minimum volume of 4.00 M KOH required, we can use the equation:

Molarity x Volume = Moles

Rearranging for volume, we get:

Volume = Moles / Molarity

Plugging in the values, we get:

Volume = 0.04375 mol KOH / 4.00 M = 0.01094 L = 10.94 mL

As a result, the minimum volume of 4.00 M KOH required to complete the reaction is 10.94 mL.


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A balloon that contains 1.50 L of air at 1.00 atm is taken underwater to a depth at which the
pressure is 3.00 atm. Calculate the new volume of the balloon. Assume that the temperature
remains constant.

Answers

The new volume of the balloon assuming the temperature remains constant is 0.5 L.

To calculate the new volume of the balloon, we apply Boyle's law

What is Boyle's Law?

Boyle's law state that the volume of a fixed mass gas is inversly proportional to its pressure at constant temperature.

Formula:

PV = P'V'............... Equation 1

Where:

P = Initial pressure of the balloonV = Initial volume of the balloonP' = Final pressure of the balloonV' = Final volume of the balloon

Make V' the subject of the equation

V' = PV/P'............ Equation 2

From the question,

Given:

P = 1 atmV = 1.5 LP' = 3 atm

Substitute these values into equaion 2

V' = (1×1.5)/3V' = 0.5 L

Hence, The new volume of the balloon assuming the temperature remains constant is 0.5 L.

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A population of plants has a mixture of individuals with short, wide flowers and long, narrow flowers. Short, wide flowers are more easily pollinated by bees while long, narrow flowers are more easily pollinated by hummingbirds. Over time, the population becomes dominated by long, narrow flowers.Which statement ,begin emphasis,best,end emphasis, explains the increase in number of plants with long, narrow flowers over time?Answer options with 4 options.The environment favors short, wide flowers instead of long, narrow flowers.B.The gene for short, wide flowers is mutated into a gene for long, narrow flowers.C.Individuals with long, narrow flowers are stronger than individuals with short, wide flowers.D.Individuals with long, narrow flowers produce more seeds than individuals with short, wide flowers.

Answers

The best explanation for the increase in the number of plants with long, narrow flowers over time is option D: Individuals with long, narrow flowers produce more seeds than individuals with short, wide flowers.

In this population, short, wide flowers are better suited for bee pollination, while long, narrow flowers are more suitable for hummingbird pollination. Over time, the plants with long, narrow flowers produce more seeds compared to those with short, wide flowers.

This happens because the hummingbirds, which are the main pollinators for long, narrow flowers, are more effective in transferring pollen between these flowers. As a result, the long, narrow flower individuals have a higher reproductive success and pass on their traits to the next generation

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How many gram of H2SO4 are needed to prepare 6.0L of a 2 M H2SO4 solution? You must show work in order to receive credit.

Answers

1176 g of H2SO4 is needed to prepare 6.0L of a 2 M H2SO4 solution.

What do you mean by solution?

Solution in chemistry is a homogeneous mixture composed of two or more substances in which the molecules of the solute are completely dispersed in the solvent. Solutions are typically liquid, but can also be solid or gaseous.

We know,

Molarity (M) = moles/volume

Therefore, moles = Molarity x Volume

moles = 2 M x 6 L

moles = 12 moles

1 mole of H2SO4 = 98 g

Therefore, 12 moles of H2SO4 = 12 x 98 g

= 1176 g of H2SO4

Hence, 1176 g of H2SO4 is needed to prepare 6.0L of a 2 M H2SO4 solution.

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Which change will most likely increase the rate of a chemical reaction? lowering the temperature of the reactants adding an inhibitor to the reactants increasing the concentration of one of the reactants

Answers

Answer:

By increasing the concentration of One of the reactants.

Look at picture to understand

Look at picture to understand

Answers

Answer:

ITS A

Explanation:

What is the mass of 6.02 x 1024 molecules of the compound HCl?

Answers

Answer:

First, we need to determine the molar mass of HCl.

The molar mass of HCl = the mass of hydrogen (1.008 g/mol) + the mass of chlorine (35.45 g/mol) = 36.45 g/mol.

Next, we can use Avogadro's number (6.02 x 10^23 molecules/mol) to convert the number of molecules to moles:

6.02 x 10^24 molecules / 6.02 x 10^23 molecules/mol = 10 moles

Finally, we can use the molar mass to convert moles to grams:

10 moles x 36.45 g/mol = 364.5 grams

Therefore, the mass of 6.02 x 10^24 molecules of HCl is 364.5 grams.

6.02* 10^24 means 1 molecule of any substance
:. It means 1 mole of Hcl
:. To find the mass of HcL
no of moles = mass/ molar mass
To get the molar mass of HCL {H=1 CL=35.5}
:. H+CL = 1+ 35.5 =36.5
So we have our molar mass and number of moles now
Then we input it in the eqn
1=x/36.5
X= 36.5g of HCl


2. How many GRAMS of boron trichloride are present in 2.26*10^22 molecules of this compound?
___ grams.

Answers

Answer:

1.17x1024 molecules 2) 0.13 moles

Explanation:

hope this helps

What possible elements do emit photons on those colors when electrons decay to a ground level orbit?

Answers

Elements do emit photons on those colors when electrons decay to a ground level orbit then the each element will produce its own set of color

Photon is the tiny particle of electromagnetic radiation

Light travels as discrete packets of light called photons and each photon will be carrying a certain amount of energy then the energy carried within a photon determines then what color it is with blue photons having about twice the energy as red photon and the fact are given below

Atom has the limited set of orbital path that electron are willing to travelEach elements has its own set of orbit When electron move between orbit then they release photonMotion between a certain set of orbits results in photons with a corresponding set of energiesPhoton at different energy appear at different colorEach energy will produce its own unique set of color

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PLEASE HELP ME ITS AN EMERGENCY PLEASE HELP CHEM HONORS 10th GRADE GAS LAWS

PLEASE HELP ME ITS AN EMERGENCY PLEASE HELP CHEM HONORS 10th GRADE GAS LAWS

Answers

The new volume of the gas is 62.2 L

What is the Charles's law?

Charles's Law, also known as the Law of volumes, states that at a constant pressure, the volume of a gas is directly proportional to its absolute temperature. This means that as the temperature of a gas increases, its volume will also increase, and vice versa.

Mathematically, it can be expressed as: V/T = k, where V is the volume of the gas, T is its absolute temperature, and k is a constant.

We know that;

V1/T1 = V2/T2

V1T2 = V2T1

V2 = 60 * 313 /301.5

V2 = 62.2 L

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Hello If u have time po pa help nman uncle jong answer some exercise thanks

Hello If u have time po pa help nman uncle jong answer some exercise thanks

Answers

The absorbance of a sample of the solution is 0.74, which is equivalent to the molar absorptivity of the Co2+(aq) solution, which is 4.48 x 10⁴ L/mol-cm.

What is moles?

Moles are small, burrowing mammals found throughout much of the world. They have a cylindrical body, covered in short, velvety fur, and stocky legs. They have a rounded snout and small eyes, and their fur is usually black, brown, or gray. Moles feed mainly on earthworms, insects, and grubs, and use their powerful front paws to dig extensive tunnel systems in gardens and lawns. Moles are solitary creatures, living and foraging alone, and they are active both day and night.

This can be used to calculate the [Co2+] in the solution.

[Co2+] = Absorbance / (Molar absorptivity x Sample path length)

[Co2+] = 0.74 / (4.48 x 10^4 L/mol-cm x 0.0500 L)

[Co2+] = 0.0164 M

The number of moles of Co2+(aq) in the 50.00 mL solution can be calculated using the following equation:

Moles Co2+ = [Co2+] x Volume

Moles Co2+ = 0.0164 M x 0.050 L

Moles Co2+ = 8.20 x 10⁻³ mol Co2+

The mass percent of Co in the 0.630 g sample of the ore can be calculated using the following equation:

Mass percent Co = (Mass of Co2+ x 100) / Mass of sample

Mass percent Co = (8.20 x 10⁻³mol Co2+ x 58.93 g/mol Co2+) / 0.630 g

Mass percent Co = 5.04%

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An equilibrium mixture of N2, 02, and NO gases at 1500 K is determined to consist of
6.4 x101-3 mol/1 oF N2, 1.7 x 101-3 mol/ of 02 , and 1.1 × 10 ^-5 mol/1 of NO. What is the equilibrium constant for the system at this temperature?

Answers

The equilibrium constant for the system at this temperature is\(1.17 × 10^-31 mol^2/L^2\).

For the chemical equation:

N2(g) + O2(g) ⇌ 2NO(g)

The equilibrium mixture at a temperature of 1500 K is determined to contain 6.4 × 10^-3 mol/L of N2,\(1.7 × 10^-3\)mol/L of O2 and 1.1 × 10^-5 mol/L of NO.  First, we need to calculate the concentration of N2 and O2 required to produce

1.1 × 10^-5 mol/L of NO:

2NO(g) = N2(g) + O2(g)

Given that there are 1.1 × 10^-5 mol/L of NO, the number of moles of N2 and O2 are equal since the stoichiometric ratio is 1:1. Therefore:

\(1.1 × 10^-5 mol/L\) = [N2][O2]Kc = \(([NO]^2)/([N2][O2])Kc\)= \((1.1 × 10^-5 mol/L)^2/(6.4 × 10^-3 mol/L)(1.7 × 10^-3 mol/L)Kc\) =

1.17 × 10^-31 mol^2/L^2.

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How many moles of H 3 PO 4 are produced when 20.0 g of HCI are produced by the reaction PCl 5 +4H 2 O H 3 PO 4 +5HCl ?

Answers

Answer:

Approximately \(0.110\; \rm mol\).

Explanation:

Balanced equation for this reaction:

\(\rm PCl_5 + 4\; H_2O \to H_3PO_4 + 5\, HCl\).

Look up the relative atomic mass of \(\rm H\) and \(\rm Cl\) on a modern periodic table:

\(\rm H\): \(1.008\).\(\rm Cl\): \(35.45\).

Calculate the molar mass of \(\rm HCl\):

\(\begin{aligned}&M({\rm HCl}) \\ &= (1.008 + 35.45)\; \rm g \cdot mol^{-1} \\ &\approx 36.46\; \rm g \cdot mol^{-1}\end{aligned}\).

Calculate the number of moles of molecules in that \(20.0\; \rm g\) of \(\rm HCl\):

\(\begin{aligned}n &= \frac{m}{M} \\ &\approx \frac{20.0\; \rm g}{36.46\; \rm g \cdot mol^{-1}} \approx 0.549\; \rm mol\end{aligned}\).

In the balanced reaction, the coefficient of \(\rm H_3PO_4\) and \(\rm HCl\) are \(1\) and \(5\), respectively. The ratio between these two coefficients is:

\(\displaystyle \frac{n({\rm H_3PO_4})}{n({\rm HCl})} = \frac{1}{5}\).

In other words, this reaction would produce five times as many \(\rm HCl\) molecules as \(\rm H_3PO_4\) molecules.

Calculation shows that in this question, approximately \(0.549\; \rm mol\) of \(\rm HCl\) molecules were produced. Calculate the number of moles of \(\rm H_3PO_4\) molecules that were produced:

\(\begin{aligned}& n({\rm H_3PO_4}) \\ &= n({\rm HCl}) \cdot \frac{n({\rm H_3PO_4})}{n({\rm HCl})} \\ & \approx 0.549\; \rm mol \times \frac{1}{5} \approx 0.110\; \rm mol\end{aligned}\).

The compound that is not an organic alcohol is:

C 3H 7OH
CH 3CH(OH)CH 3
C 6H 5COOH
(CH 3) 2CHCH(OH)CH 2CH 3

Answers

Answer:

The compound that is not an organic alcohol is C6H5COOH.

C3H7OH is propyl alcohol, CH3CH(OH)CH3 is 2-propanol, and (CH3)2CHCH(OH)CH2CH3 is 3-pentanol, all of which are organic alcohols.

On the other hand, C6H5COOH is benzoic acid, which is not an alcohol but an organic acid. It contains a carboxylic acid (-COOH) functional group and not the -OH functional group of alcohols.

Is the ethane molecule more or less polar than water? Why or why not?

Answers

Answer: Less

Explanation:

Ethane is a non-polar molecule while water is a polar molecule

Find the mass of 2 moles of carbon tetrachloride

Answers

Answer:

The mass of 2 moles of carbon tetrachloride is

307.646 grams

Explanation:

The chemical formula for Carbon tetrachloride is \(\ce{CCl_4}\).  It contains 1 carbon atom and 4 chlorine atoms.

Carbon tetrachloride is formed due to the covalent bond between one carbon atom with four chlorine atoms.

In order to find the mass of 2 moles of \(\ce{CCl_4}\) we need to determine the molar mass.

The molar mass of carbon is 12.011 g/mol.

The molar mass of chlorine is 35.453 g/mol.

As stated before we have 1 carbon atom and 4 chlorine atoms. So the molar mass can be evaluated by

\(\left(1*12.011\right)+\left(35.453*4\right)=153.823\)

The molar mass of \(\ce{CCl_4}\) is 153.823 g/mol.

You can multiply that by 2 to get the mass in grams of 2 moles of carbon tetrachloride.

\(2*153.823 =307.646\)

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HOW MANY ELEMENTS ARE IN 3FE(OH)3

Answers

Answer:

Three

Explanation:

Iron  

Oxygen  

Hydrogen

1. What holds the solar system together

2. What is the name of the giant Explosion that formed the universe

3. As the universe spread out , what kind of gas was formed first

4. What was formed from the flat outer disk of our solar system

5. What is the name for the star that has used up all it's fuel and is cool?


(I believe in God tho)​

Answers

1. gravity (gravitational pull from the sun brings all the planets into orbit)

2. the big bang.

3. hydrogen gas.

4. planets, moons, asteroids, and comets

5. it’s becomes a black dwarf star

1. What holds the solar system together

gravity

2. What is the name of the giant Explosion that formed the universe

the Big Bang

3. As the universe spread out , what kind of gas was formed first

hydrogen gas

4. What was formed from the flat outer disk of our solar system

a solar nebula

5. What is the name for the star that has used up all it's fuel and is cool?

red giant

Im really sorry if it's incorrect

Hope it's help have a nice day!

Discuss two pre-requisite skills needed for students to learn the process of writing balanced chemical and ionic equations​

Answers

Answer:

Explanation:Two pre-requisite skills needed for students to learn the process of writing balanced chemical and ionic equations are:

1. Understanding of the periodic table and elements: Students must have a solid foundation in the periodic table, including recognizing elements by their symbols and understanding their properties, groups, and electron configurations.

2. Knowledge of chemical bonding and compound formation: Students should be familiar with the different types of chemical bonds (ionic, covalent, and metallic) and know how to construct chemical formulas for compounds based on their component elements and valence electrons.

Combining 0.286 mol Fe2O3 with excess carbon produced 19.6 g Fe.
Fe2O3+3C⟶2Fe+3CO

What is the actual yield of iron in moles?

actual yield:
0.351
mol
What is the theoretical yield of iron in moles?
theoretical yield:
mol
What is the percent yield?
percent yield:

Answers

Therefore, the actual yield of iron in moles is 0.351 mol, the theoretical yield of iron in moles is 0.572 mol, and the percent yield is 61.31%.

What is moles?

In chemistry, a mole (mol) is a unit of measurement used to express the amount of a substance. It is defined as the amount of a substance that contains the same number of entities (such as atoms, molecules, or ions) as there are atoms in 12 grams of pure carbon-12. Moles are used to convert between the mass of a substance and the number of entities it contains, as well as to calculate the stoichiometry of chemical reactions. For example, the mass of a substance can be converted to moles by dividing the mass by its molar mass (the mass of one mole of the substance), which allows for the comparison of different substances on a per-mole basis. Similarly, the number of entities in a substance can be converted to moles by dividing the number by Avogadro's number.

Here,

To determine the theoretical yield of iron in moles, we first need to use the balanced chemical equation to calculate the moles of Fe produced from 0.286 mol of Fe2O3:

1 mol Fe2O3 produces 2 mol Fe (from the balanced equation)

Therefore, 0.286 mol Fe2O3 produces (2/1) x 0.286 mol Fe = 0.572 mol Fe (theoretical yield)

The actual yield of Fe is given as 19.6 g, so we need to convert this to moles using the molar mass of Fe:

molar mass of Fe = 55.845 g/mol

moles of Fe = 19.6 g / 55.845 g/mol = 0.351 mol (actual yield)

The percent yield is calculated by dividing the actual yield by the theoretical yield and multiplying by 100:

percent yield = (actual yield / theoretical yield) x 100%

percent yield = (0.351 mol / 0.572 mol) x 100% = 61.31%

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Seamus is conducting an experiment on electric force. He wants to get an approximate idea of how much force the charges will generate. Drag and drop the tiles to show the force of each situation in increasing order from lowest to highest (with repulsive forces being positive and attractive forces being negative).
=
One object with a charge of -4 × 10-5 C and another with a charge of 3 × 10-5 C placed 0.5
meters apart
One object with a charge of 3 x 10- C and another with a charge of -3 × 10-5 C placed 1
E
meter apart
= Two objects with a charge of 4 × 10-5 C placed 1 meter apart
= Two objects both with a charge of 3 × 10-5 C placed 0.5 meters apart
One object with a charge of 3 x 10- C and another with a charge of 4 x 10 C placed 1
E
meter apart

Seamus is conducting an experiment on electric force. He wants to get an approximate idea of how much

Answers

The highest electric force exerted by charges -4 ×10⁻⁵ C and 3 ×10⁻⁵ C  placed 0.5 m apart is equal to 43.15 N.

The lowest electric force exerted by charges 3 ×10⁻⁵ C and 3 ×10⁻⁵ C  placed 1 m apart is equal to 8.10 N.

What is coulomb's law?

According to Coulomb’s law, the force of attraction between two charges is equal to the product of their charges and is inversely proportional to the square of the distance. This electric force applies along the line joining the two charges.

The magnitude of the electric force can be written as follows:

\(\displaystyle F = k\frac{q_1q_2}{r^2}\)

where k is constant proportionality = 8.99 × 10⁹ N.m²/C².

Given the charge on one point charge, q₁ =  4 ×10⁻⁵ C

The charge on the other point charge, q₂ = - 3 × 10⁻⁵C

The distance between these two charges, r = 0.5 m

The magnitude of electric force between the charges  will be:

\(\displaystyle F = 8.99\times 10^{9}\times \frac{4\times 10^{-5}\times 3\times 10^{-5}}{(0.5)^2}\)

F = 43.15 N

Given the charge on one point charge, q₁ =  3 ×10⁻⁵ C

The charge on the other point charge, q₂ = 3 × 10⁻⁵C

The distance between these two charges, r = 1 m

The magnitude of force between the charges will be:

\(\displaystyle F = 8.99\times 10^{9}\times \frac{3\times 10^{-5}\times 3\times 10^{-5}}{(1)^2}\)

F = 8.1 N

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