Nuclear decay occurs according to first-order kinetics. How long will it take for a sample of radon-218 to decay from 99 g to 0.50 g? The half-life of radon-218 is 35 milliseconds.
a. 2.6 x 102 ms.
b. 2.0 10 ms.
c. 1.1 x 10 ms.
d. 6.6 x 102 ms.

Answers

Answer 1

Answer:

a. 2.6 x 102 ms

Explanation:

Initial mass [Ao] = 99 g

Final mass [A] = 0.50 g

Half life (t1/2) = 35 ms

Time ( t ) = ?

]The integrated rate law for first order reactions is given as;

To obtain k, we look at the expression for the half life of a first order reaction;

t1/2 = 0.693 / k

k = 0.693 / 35 = 0.0198 ms-1

ln[A] = ln[Ao] - kt

kt = ln[Ao] - ln[A]

t =   ( ln[Ao] - ln[A]  )  / k

t =  ( ln(99) - ln (0.50)  )  /  0.0198

t = 5.288 / 0.0198

t = 267.07 ms

correct option is;

a. 2.6 x 102 ms


Related Questions

Perform the following operations and express the answers in scientific notation: SHOW YOUR WORK

1) (1.2 * 10^5) + (5.35*10^6)


2) (6.91*10^-2) + (2.4* 10^-3)


3) (9.70*10^6) + (8.3*10^5)

Answers

The given operations are performed

and the expressions are presented

in scientific notation as follows;

1) (1.2 × 10⁵) + (5.35 × 10⁶) = 5.47 × 10⁶

2) (6.91 × 10^(-2) + (2.4 × 10^(-3)) = 7.15 × 10^(-2)

3) (9.70 × 10⁶) + (8.3 × 10⁶) = 1.053 × 10⁷

How can the given operations be performed and results presented in scientific notation?

1) (1.2 × 10⁵) + (5.35 × 10⁶)

(1.2 × 10⁵) + (5.35 × 10⁶) = (1.2 × 10⁵) + (53.5 × 10⁵)

(1.2 × 10⁵) + (53.5 × 10⁵) = (1.2 + 53.5) × 10⁵

(1.2 + 53.5) × 10⁵ = 54.7 × 10⁵

54.7 × 10⁵ = 5.47 × 10⁶

Therefore;

(1.2 × 10⁵) + (5.35 × 10⁶) = 5.47 × 10⁶

2) (6.91 × 10^(-2) + (2.4 × 10^(-3))

(6.91 × 10^(-2) + (2.4 × 10^(-3)) = (69.1 × 10^(-3) + (2.4 × 10^(-3))

(69.1 × 10^(-3) + (2.4 × 10^(-3)) = (69.1 + 2.4) × 10^(-3)

(69.1 + 2.4) × 10^(-3) = 71.5 × 10^(-3)

71.5 × 10^(-3) = 7.15 × 10^(-2)

Therefore;

(6.91 × 10^(-2) + (2.4 × 10^(-3)) = 7.15 × 10^(-2)

3) (9.70 × 10⁶) + (8.3 × 10⁵)

(9.70 × 10⁶) + (8.3 × 10⁵) = (97.0 × 10⁵) + (8.3 × 10⁵)

(97.0 × 10⁵) + (8.3 × 10⁵) = (97.0 + 8.3) × 10⁵

(97.0 + 8.3) × 10⁵ = 105.3 × 10⁵

105.3 × 10⁵ = 1.053 × 10⁷

Therefore;

(9.70 × 10⁶) + (8.3 × 10⁵) = 1.053 × 10⁷

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20 g of sugar is there than to 150 g of 50 what is the mass of the solution formed​

Answers

The mass of the solution formed when 20 g of sugar dissolved in 150 g of tea is 170 g.

The net mass of solution is calculated as the algebraic addition of the mass of the solute which is stirred into the mass of the solvent.

During the formation of solution, the sugar molecules are dissolved into tea in which sugar molecules fitted into the intermolecular spaces present between the water molecules of the tea and form a homogenous mixture.

What is solvent?

Solvent is the substance or mixture which present in large amount in the solution.

What is solute?

Solute is the substance or mixture which present in small amount in the solution.

Given,

Mass of solute (sugar) = 20g

Mass of solvent (tea) = 150g

Total mass of solution = 20 + 150

= 170g.

Thus we concluded that the mass of the solution formed when 20 g of sugar dissolved in 150 g of tea is 170 g.

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State how are the elements of a period arranged in the modern periodic table, from left to right.
a:In order of increasing atomic mass
b:In order of increasing atomic number
c:In order of decreasing atomic mass

Answers

Answer: B

Explanation:

The atomic number of an element is the number of protons in the nucleus of an atom of that element. Changing the number of neutrons means you get an isotope of the same element. Changing the number of electrons does not affect the atom but affects the charge of the atom. So the periodic table is arranged by increasing the number of protons or atomic numbers.

HELP!!
Calculate the heat absorbed by 50.00 g of iron when its temperature is raised from 10.00 0 C to 60.00 C. The specific heat of iron is 0.449J/g C.​

Answers

Heat absorbed by 50 g of iron is 898 Joule.

Heat transfer between two bodies, which can take place through conduction, convection, or radiation, is referred to as heat absorption.

Specific heat - The amount of heat needed to raise a substance's temperature by one degree Celsius in one gram, also known as specific heat. The units of specific heat are usually expressed in terms of calories or joules per gram per degree Celsius. The specific heat of water, for instance, is 1 calorie (or 4.186 joules) per gram per degree Celsius.

The formula of specific heat-

q = mc ΔT

where Q is heat absorbed, m is mass and ΔT is change in temperature.

m = 50 g

c = 0.449 J/g C

ΔT = 60 - 10

     = 40 °C

∴q = 50 x 0.449 x 40

q = 898 J

Hence, heat absorbed by 50 g of iron is 898 Joule.

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Write 3.0 x 108 in standard form.
A) 30000000
B) 300000000
C) 3000000000
D) 3000000

Answers

It’s B, 3.0 * 10^8 is 300,000,000.

To create water from its component atoms, a bond must form between each of the hydrogens and the oxygen. Given that hydrogen is not able to donate its single electron, how does the water molecule form? Could u simple it after you explain it?

Answers

Given that hydrogen is not able to donate its single electron,  the water molecule forms by the sharing of electrons between two hydrogen atoms and an oxygen atom.

What is Covalent bond?

This is the type of bond which occurs when the electrons of an atom are shared unlike electrovalent bond which is formed when the electrons are transferred from one atom to another.

In this case, since hydrogen can't transfer electron and oxygen needs two electrons to achieve its stable configuration then two hydrogen atoms will share one electron each with the oxygen atom which results in the formation of water.

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Determine the name for each of the ionic compounds from their formulas.

Be(NO₂)₂

NiPO4

Answers

Answer:

To find the formula of an ionic compound, first identify the cation and write down its symbol and charge. Then, identify the anion and write down its symbol and charge. Finally, combine the two ions to form an electrically neutral compound.

Explanation:

Select all that are "exact numbers" and therefore have an unlimited number of significant figures


A)

12 inches= 1 foot


B)

60 min= 1 hour


C)

1 pig= 88 kg


D)

my car speed= 55 mi per hour


E)

pie= 3.14

Answers

Answer:

b.

i hope is help

You have a solution of 0.250 M NaCl. If you boil away 2/3 of the volume of water, what is the concentration of this solution in moles?

Answers

The concentration of this solution in moles is 0.75 M.

What is concentration of a solution?

The concentration of a solution is a measure of the amount of solute that has been dissolved in a given amount of solvent or solution.

Mathematically. concentration is given as;

C = n/V

where;

n is the number of molesV is the volume of the solutionC is concentration

At a constant number of moles;

C1V1 = C2V2

When you boil away 2/3 volume, the new volume becomes 1/3

So V1  = V

V2 = 1/3V = 0.3333V

Substitute the given parameters and solve for the new concentration.

C2 = (C1V1)/V2

C2 = (0.25 x V) / (0.3333V)

C2 = 0.75 M

Thus, the concentration of this solution in moles is 0.75 M.

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The image shows the products of a decomposition reaction. The larger, red spheres represent oxygen atoms, and the smaller, blue spheres represent nitrogen atoms.

In this image, there are 6 molecules composed of two red atoms bound together, and 3 molecules composed of two blue atoms bound together.
Determine the empirical formula of the reactant based on these products.

Answers

The empirical formula of the compound that decomposes is [tex]N_{2} O[/tex]

What is decomposition?

The term decomposition refers to a type of reaction in which a substance is broken down into its components. We know that a compound is composed of atoms. When there is a decomposition reaction, the atoms of the compound break down.

We can see that the products of the decomposition reaction are nitrogen and oxygen. The red spheres represent oxygen atoms, and the smaller, blue spheres represent nitrogen atoms.

We know that nitrous oxide decomposes to give nitrogen and oxygen. Thus the empirical formula of the compound is [tex]N_{2} O[/tex].

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A rectangular painting has an area of 2890square centimeters. What is its area in square inches? Round to the nearest square inch. Do not include the units in your answer.

Answers

The area of the rectangular painting which is 2890 square centimeters is equivalent to 447.95 square inches

How to convert cm² to in²?

Square inch (in²) is a unit of area equal to the area of a square the sides of which are each one inch long.

Square centimeter (cm²) is another unit of area equal to that of a square of sides 1 centimeter.

The conversion factor of square centimeter to square inches is as follows:

1 square centimetre = 0.155 square inch

2890 square centimeters = 447.95 square inches

Therefore, the area of the rectangular painting which is 2890 square centimeters is equivalent to 447.95 square inches.

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Which type of energy does alpha decay generate?
O kinetic
O potential
O sound
O electromagnetic

Answers

Answer: kinetic or A :)

Explanation: kinetic energy Alpha particles have typical kinetic energy of 5 MeV (or ≈ 0.13% of their total energy 110 TJ/kg) and have a speed of about 15 000 000 m/s or 5% of the speed of light.

hope this helped !! - hailey

What site is located in the structure of tRNA

Answers

The structure of tRNA resembles cloverleaf. 

 tRNA is called transfer RNA, which is a small RNA molecule which plays important role in protein synthesis.-It serves as link between messenger RNA and the growing chain of amino acids that make up protein.

 tRNA molecules fold into structure resembling cloverleaf  with four important sites:-

•The acceptor stem (3’-CCA) have an amino acid

•The anticodon  attaches  with the mRNA codon (via complementary base pairing)

•The T arm attaches  with the ribosome (via the E, P and A binding sites)

•The D arm of tRNA activating enzyme (help in adding the amino acid to the acceptor stem).

CCA is codon codes for  prolein amino acid in polypeptide chain.

AUG is initiator codon codes for methionine.

UAG, UAA and UGA are stop codons.

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Hydrogen reacts with chlorine according to
the equation:
H₂(g) + Cl₂(g) → 2HCl(g)
What is the total volume of gas present in
the container at the end of the experiment if
100 cm³ of hydrogen is reacted with 200 cm³
of chlorine?

Answers

When the total number of reactants and products are the same in the reaction it is called a balanced chemical equation. The balanced chemical equation of H2+ Cl2   → 2HCl(g)

What is a balanced chemical equation?

When the total number of reactants and products are the same in the reaction it is called a balanced chemical equation. In the given reaction one mole of 70 g of hydrogen reacts with 2 moles of Cl.

100 g of chlorine reacts with 2/ 70 * 100 = 2.86 gram of hydrogen.

70 grams of chlorine will produce 73 g of HCl.

100 gram of chlorine produce 73/ 70 * 100 = 104.28 g of HCl.

Therefore, When the total number of reactants and products are the same in the reaction it is called a balanced chemical equation. The balanced chemical equation of H2+ Cl2   → 2HCl(g).

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What is the mass grams that are in 2.57 × 10¹⁵ molecules of CO?

Answers

1 mole of a substance contains Avagadro number (6.023 * 102) of molecules of that substance.
For example one mole of Carbon Monoxide (CO)
contains Avagadro number (6.023 * 1023)
molecules of CO.
We also know that
1 mole of a substance weighs Gram molecular weight of the substance.
ie one mole of CO weighs 28.01 grams Therefore 6.023 * 102 molecules of CO weighs 28.01 grams
2.57 * 1015 molecules of CO weighs? grams
2.57 * 1015
=
6.023 * 1023 * 28.01g
: 11.9581 * 10-8g
Weight of 2.57*10^{15} molecules of CO is = 11.9581 * 10^-8 g

Hope this helps

Why must scientists always communicate their results​

Answers

Answer: To Know That They Did Nothing Wrong

Explanation:

For Example, They Maybe Put The Wrong Thing
Or They Made The Different One Instead Of What They Were Supposed To Do

2. (01.01 HC)
Describe the role of consumers in a food web. Are consumers heterotrophs? Justify your answer. (7 points)

Answers

Yes the all types of the consumers are the heterotrophs.

What role play the consumers in a food web? Are consumers heterotrophs?

The consumers play a very important role in the ecosystem of the earth by maintaining the population and growth to the organism of the ecosystem. If we remove the consumer or either the producer then the whole system of the ecosystem will be destabilize, and thus the ecosystem can survive from the overpopulation problem and lack of food problem. The other organism can transfer energy to the consumer.

Both the primary (herbivores) and as well as the secondary (carnivores and omnivores) consumers are heterotrophs.

So we can conclude that yes the all types of the consumers are the heterotrophs.

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A 2.45M of sulphiric acid solution has a density of 1.15g/ml at 20degree celesius.what is the molality of the solution in that temprature?​

Answers

The Molarity of solution if a 2.45M of sulphiric acid solution has a density of 1.15g/ml at 20degree celesius is 2.69M.

Given,

Density of the solution = 1.15 g/mL

Molarity of the sulphiric acid = 2.45M

Molar mass of sulphuric acid = 98 g

Density is given as:

[tex]Molarity(\frac{1}{molarity} +\frac{mol.wt}{1000} )\\\\=2.45(\frac{1}{molarity} + \frac{98}{1000} )\\\\(\frac{1}{molarity} = (\frac{1.15}{2.45} + \frac{98}{1000} \\\\(\frac{1}{molarity} = 0.469 - 0.098\\\\(\frac{1}{molarity} = 0.371\\\\Molarity = 2.69m\\\\[/tex]

The Molarity of solution if a 2.45M of sulphiric acid solution has a density of 1.15g/ml at 20degree celesius is 2.69M.

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The rate of effusion of NH3 is 2.40 mole/min. What would be the rate of effusion of He under the same conditions?

Answers

The rate of effusion of helium under same conditions as that of ammonia  is 4.897 mole/min.

Rate of effusion of ammonia is 0.49 times the effusion of helium.Thus, to find out effusion of helium ,effusion of ammonia is divided by 0.49.

Thus, effusion of helium=effusion of ammonia/0.49

=2.40/0.49

=4.897 mole/min.

What is rate of effusion?

Effusion relates to the ability of gas to travel through a small opening.Rate of effusion of a gaseous substance is inversely proportional to square root of it's molar mass.The relationship between molar mass and rate of effusion is called Graham's law.

Effusion rate directly depends on the average velocity with which a particle moves.Higher the velocity of particles,higher is the effusion rate.

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Convert 7.27 m^3 to ft^3

Answers

256.73 ft

Convert 7.27 [tex]m^3[/tex] to[tex]ft^3[/tex]

as per above , we have to convert [tex]m^3[/tex] into [tex]ft^3[/tex]

now:

1 [tex]m^3[/tex] = 35.31  [tex]ft^3[/tex]

7.27 [tex]m^3[/tex] = 35.31 [tex]\times[/tex] 7.27 [tex]m^3[/tex]

               = 256.73 ft

meter cubic and feet both are volumetric unit

Volume is the amount of space an object take upV = Length x Wide x Height is the formula to find the volume of a regular shaped object or 3 dimensional objectCubic Feet is the Volume of a cube is one foot on each sideCubic Meteris the  Volume of a cube is one meter on each side.

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You have a solution of 0.250 MNaCl. If you boil away 2/3 of the volume of water, what is the concentration of this solution?

Answers

The concentration of the new solution, given that 2/3 of it's initial volume was boiled away is 0.758 M

The following data were obtained from the question:

Concentration of stock solution (M₁) = 0.250 MVolume of stock solution (V₁) = 1 mL Volume of water boiled away = 2/3 = 0.67 mL Volume of new solution (V₂) = 1 - 0.67 = 0.33 mL Concentration of new solution (M₂) =?

How to determine the concentration of the new solution

The molarity of the new solution can be obtained as follow:

M₁V₁ = M₂V₂

0.250 × 1 = M₂ × 0.33

0.250 = M₂ × 0.33

Divide both side by 0.33

M₂ = 0.250 / 0.33

M₂ = 0.758 M

Thus, the concentration of the new solution is 0.758 M

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Ethanol (CH3CH2OH), the intoxicant in alcoholic beverages, is also used to make other organic compounds. In concentrated sulfuric acid, ethanol forms diethyl ether and water:
2CH3CH2OH(l) → CH3CH2OCH2CH3(l) + H2O(g)
In a side reaction, some ethanol forms ethylene and water:
CH3CH2OH(l) → CH2═CH2(g) + H2O(g)
(a) If 54.0 g of ethanol yields 28.8 g of diethyl ether, what is the percent yield of diethyl ether?
%
(b) During the process, 45.0% of the ethanol that did not produce diethyl ether reacts by the side reaction. What mass of ethylene is produced?

Answers

The percent yield of the ether is 66.5% and the mass of ethylene produced is 4.9 g.

What are the products?

We know that in a reaction, we are only able to obtain the parameter of the reactions by the use of stoichiometry. This is the relationship between the reactants and the products in the process.

The reaction is given as shown in the reaction equations in the question above.

Number of moles of ethanol =  54.0 g /46 g/mol = 1.17 moles

Since 2 moles of ethanol yields 1 mole of ether

1.17 moles of ethanol yields 1.17 moles * 1 mole /2 moles

= 0.585 moles

Mass of the ether = 0.585 moles * 74 g/mol = 43.29 g

Percent yield = 28.8 g/ 43.29 g * 100/1

= 66.5 %

Amount of unreacted ethanol = (100 - 66.5)/100 * 1.17 moles = 0.39 moles

Amount that participates in the side reaction  45.0/100 * 0.39 moles = 0.1755 moles

Given that the reaction is 1:1

Mass of ethylene produced = 0.1755 moles * 28 g/mol = 4.9 g of ethylene

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Fluorine,chlorine and bromine which one has the strongest base

Answers

Fluorine has the strongest base among fluorine, chlorine and bromine.

Fluorine belongs to the group of halogens.  It is represented with the letter F and has an atomic number 9. Fluorine is the smallest element among the halogens and hence its electrons are attached very strongly with the nucleus. As a result, fluorine has the most tendency to accept electron to complete its valence shell and therefore is the strongest base.

Bases are the molecules or ions that can accept electrons to complete their outer valence shell. This justifies fluorine being the strongest base among halogens. Bases are generally bitter in taste, with a soapy touch. A pH above 7 specifies basicity.

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a piece of magnesium in the shape of a cube measures with a height of 5.62 cm. If the magnesium sample has a mass of 14.1 g, what is the density of the sample

Answers

A piece of magnesium in the shape of cube measuring with height of 5.62 cm, and this magnesium sample having mass of 1.41 g has a density of 1.78 g/cm³.

What is Density?

Density is known as the mass of substance per unit volume. Density is denoted by a Greek symbol ρ. Density is equal to the mass substance divided by its volume. The SI unit of Density is g/cm ³or kg/m³.

                                     ρ = m

                                             v

where,

ρ = density

m = mass

v  = volume

Given :

Height of the cylinder is 5.62 cm ,

Diameter of the cylinder is 1.34 cm

Radius = D/2 = 1.34/2 cm

Radius = 0.67 cm

Volume of cylinder = πr²h

Volume of cylinder = 3.14 × (0.67)² × 5.62

                                = 7.92 cm³

 Density =   Mass  

                 Volume

Density = 14.1

                 7.92

 Density = 1.78 g/cm³

Hence, the density of sample = 1.78 g/cm³ .

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The frequency of a radio wave was measured to be (9.3x10^8) Hz What is the energy of the radio wave in kilojoules (kJ)?
1 Hz = 1 s–1
h = 6.626 x 10-34 J.s

Answers

The energy of the radio wave in kilojoules is obtained as 6.2 * 10^-25 J.

What is a wave?

The term wave has to do with a disturbance along a medium which transfers energy. There are different kinds of wave. In this case, a radio wave is a type of electromagnetic wave. The electromagnetic waves do not require a medium for their propagation. This implies that they are able to move on their own with no medium.

Thus;

We know that;

Frequency of the wave = 9.3x10^8 Hz

Plank's constant =  6.626 x 10^-34 J.s

E = hf

E = energy of the wave

h = Plank's constant

f = frequency of the waves

E = 9.3x10^8 Hz *  6.626 x 10^-34 J.s

= 6.2 * 10^-25 J

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How does a physical change take place in making a s’more

Answers

Answer: The Marshmellow

Explanation

The marshmallow turns from a solid to a gooey texture.

The marshmallow would be gooey and melted.

Which of the following is NOT a way that chemists use to measure that a reaction has taken place?

Select one:

a.
Changes in the concentrations of reactants and products.


b.
Color change.


c.
By manually counting the actual atoms and molecules in the reaction.


d.
Change in pH.

Answers

Answer: a

Explanation:

i hope is help

A reaction vessel contains 4.800 g of CO and 4.800 g of O2. What is the maximum number of moles of CO2 recovered, based on the number of moles of the given reactants?

Answers

The maximum number of moles of [tex]CO_2[/tex] that can be recovered from the reaction vessel would be 0.17 moles.

Stoichiometric calculation

The reaction vessel contains:

4.800 g  CO4.800 g [tex]O_2[/tex]

The equation of the reaction would be as follows:

[tex]2CO + O_2 --- > 2CO_2[/tex]

The mole ratios of the reactants to the product are as follows:

CO to  [tex]CO_2[/tex] = 1:1[tex]O_2[/tex] to  [tex]CO_2[/tex] = 1:2

4.800 g of CO = 4.8/28

                        = 0.17 moles

4.800 g of [tex]O_2[/tex] = 4.8/32

                      = 0.15 moles

Since the mole ratio of CO to  [tex]O_2[/tex] is 2 to 1, 0.17 of CO is limiting.

The mole ratio of CO to  [tex]CO_2[/tex] is 1 to 1. Thus, the equivalent mole of  [tex]CO_2[/tex] that can be recovered is also 0.17.

In other words, the maximum number of moles of  [tex]CO_2[/tex] that can be recovered from the reaction vessel is 0.17 moles.

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o Convert 6.49 x 10-3 m to the equivalent length in nanometers.

Answers

Remember that 1 nanometer is equal to 1 x 109, therefore multiply 6.49 x 10-3 m by 1 x 109 to get the answer. The correct response is 6.49 x 10-3 m = 6.49 x 106 nm.

What are nanometers used for?

The measuring unit known as a nanometer (NM) is one billionth of a meter. It is frequently used as a scale for creating intricate, atomic-scale parts, particularly in nanotechnology.

What dimension does a nanometer have?

How tiny is "nano" exactly? One nanometer is one billionth of a meter since the prefix "nano" in the International System of Units refers to one billionth, or 10-9. Here are some samples to help you visualize how little that is: About 100,000 nanometers make up a sheet of paper.

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A compound containing only carbon, hydrogen, and oxygen is analyzed using combustion analysis. When 55.5 g of the compound is burned, 98.9 g of carbon dioxide and 40.5 g of water are collected.

Given that there are 2.25 moles of carbon and 4.50 moles of hydrogen produced in the reaction, calculate the mass of oxygen in the original compound. You will need to subtract the mass of the carbon that ended up in the carbon dioxide and the mass of the hydrogen that ended up in the water from the mass of the original compound.

Answers

Answer:

Determining an Empirical Formula from Combustion Data

Explanation:

Step 1: Identify the mass of carbon dioxide and water produced by the combustion.

Step 2: Find how many moles of carbon are in carbon dioxide.

Step 3: Find how many moles of hydrogen are in water.

Other Questions
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