If 65.1 Litre at STP of N2 gas are needed to inflate a real air bag to the proper size, the number of grams of NaN3 that must be included in the real air bag to generate this amount of N2 is…

Please give the full equation too!

Answers

Answer 1

The mass of the sodium azide that is required in the process is  125 g.

What is the equation?

The equation of the reaction can be given as;

2 NaN3 (s) → 2 Na(s) + 3 N2 (g)

If 1 mole of the N2 gas occupies 22.4 L

x moles of N2 gas occupies 65.1 L

x = 65.1 * 1/22.4

= 2.9 moles

Now;

2 moles of NaN3 produces 3 moles of N2

x moles pf NaN3 produces 2.9 moles

x = 2 * 2.9/3

= 1.93 moles

Mass of the NaN3 = 1.93 moles * 65 g/mol

= 125 g

We can see that we can use the moles to obtain the e number of grams of NaN3 that must be included in the real air bag to generate this amount of N2

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Related Questions

Give the names of the cation in each of the following compounds CaO, Na2SO4, KClO4, Fe (NO3) 2, Cr (OH) 3. Spell out the names of the cations separated by commas.

Answers

The names of the cation in each of the following compounds CaO, Na2SO4, KClO4, Fe (NO3) 2, Cr (OH) 3 are as the cation in CaO is Ca2+, in Na2SO4 it is Na+, in KClO4 it is K+, in Fe(NO3)2 it is Fe2+, and in Cr(OH)3 it is Cr3+.

In a chemical compound, cations are positively charged ions that are formed by the loss of one or more electrons from an atom.

The cation is named after the name of the element from which it is derived, followed by the word "ion". For example, the cation in CaO is Ca2+, which is derived from the element calcium.

So, the name of the cation in CaO is "calcium ion".

Similarly, the cation in Na2SO4 is Na+, which is derived from the element sodium. So, the name of the cation in Na2SO4 is "sodium ion".

The names of the cations in the remaining compounds can be determined in the same way.

The cations in these compounds are Calcium (Ca), Sodium (Na), Potassium (K), Iron(II) (Fe), and Chromium(III) (Cr), respectively.

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A pupil adds 5 cm of 12 mol.dm sulphuric acids to make a 250 cmº solution. Calculate the
concentration of the diluted acid.

Answers

Answer:

0.500 mol/dm³

Explanation:

Using the formula below;

CaVa = CbVb

Where;

Ca = concentration of acid (mol/dm³)

Cb = concentration of base (mol/dm³)

Va = volume of acid (cm³)

Vb = volume of base (cm³)

In accordance to the information provided in this question is;

Va = 5cm³

Vb = 250 cm³

Ca = 12 mol/dm³

Cb = ?

Using CaVa = CbVb

12 × 5 = Cb × 250

60 = 120Cb

Cb = 60/120

Cb = 0.500 mol/dm³

Explain the circumstance leading to acid rain.​

Answers

Answer:

Burning of fossil fuels releases a lot of pollutants such as sulphur dioxide and nitrogen dioxide into the atmosphere, and reacts with the water in the atmosphere to form sulphuric acid or nitric acid. Hence, acid rain is formed as that acid comes down from the atmosphere along with the rain.

Explanation:

Hope this helped!

The diagram models a change in some sample of matter.
Before
00
After
What change is illustrated in the diagram?
atoms that formed molecules
molecules that formed atoms
atoms that formed elements
molecules that formed elements

Answers

The change illustrated in the diagram is atoms that formed molecules.

As we can see in the diagram first before the change atoms are free they are not in a combined state but after the reaction, two atoms are combined to form a molecule.

An atom can be defined as the smallest unit of matter that forms a chemical element.

A molecule can be defined as a group of two or more atoms held together by attractive forces known as chemical bonds.

As we can see in the diagram two atoms are combining together to form a molecule.

Hence, we can say that atoms are forming molecules.

The complete question is

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The diagram models a change in some sample of matter.Before00AfterWhat change is illustrated in the diagram?atoms

There is energy releasing and energy absorbing when the atoms combined to formed the molecules and the molecules are combined to formed an elements.

When the atoms formed the molecules the physical and chemical properties are changed.A single atom is neutral entities that is made up of electrons and protons but the molecules are made up of atoms by forming ionic bonds, hydrogen bonds or covalent bond.In this process of formation of molecules is called anabolic process in which energy is required to formed the molecules.And the process is the exothermic process.But if the process is reversed than amount of energy is released to break the molecules into atoms.We need to break the bonds.When the molecules are combined to formed and elements then might be different molecule are combined to formed an elements or same molecules are combined to formed an elements.this is called combination reaction.

The chemical reactions involved combination reactions and decomposition reactions.

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In a bimolecular elimination (e2) reaction, the correct order of mechanistic steps is?

Answers

In a bimolecular elimination (e2) reaction, the correct order of mechanistic steps is 3°R – L > 2° R – L > 1° R – L -E2 Mechanism

In the one-step E2 mechanism, which stands for bimolecular elimination, the bonds between carbon and hydrogen and between carbon and halogen separate to create a double bond (C=C Pi bond). The reaction's specifics are as follows: E2 mechanism uses a single transition state and a single step elimination. Substitution reactions and elimination reactions frequently clash. A substrate, usually an alkyl halide, removes one equivalent (unit) of acid in this reaction to create an alkene. This elimination reaction has the E1 and E2 processes as two potential pathways. The concept of the E2 mechanism, or bimolecular elimination, was first forth by British chemist Christopher Kelk Ingold in the 1920s. E2 mechanism reactions, in contrast to E1 reactions, result in an alkene by removing two constituents and adding a strong base.

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What is the concentration of a solution with a volume of 660L that contains 33.4g of AlCO3?

Answers

Answer:

The concentration of the solution is 5.8168 × \(10^{-4}\) mol.\(dm^{-3}\)

Explanation:

Here, we want to calculate the concentration of the solution.

The unit of this is mol/dm^3

So the first thing to do here is to calculate the number of moles of the solute present, which is the number of moles of AlCO3

The number of moles = mass/molar mass

molar mass of AlCO3 = 27 + 12 + 3(16)  = 27 + 12 + 48 = 87g/mol

Number of moles = 33.4/87 = 0.384 moles

This 0.384 moles is present in 660 L

x moles will be present in 1 dm^3

Recall 1 dm^3 = 1L

x * 660 = 0.384 * 1

x = 0.384/660 = 0.00058168 = 5.8168 * 10^-4 mol/dm^3

circle all of the species below that can form a hydrogen bond in its pure form. explain why the other species couldn't hydrogen bond

Answers

Since I2 was larger with more electrons, it has greater forces than N2, that is also nonpolar and only has London dispersion forces.

What is hydrogen used for?

Fuel cells may produce energy, power, and heat using hydrogen. The two industries where hydrogen is currently most widely employed are fertilizer manufacturing and petroleum refining, with the developing markets of utilities and transportation.

Can you drink hydrogen water?

Experts disagree whether consuming hydrogen water has any hazards. However, they were unsure if its advantages outweigh those of drinking regular water or being hydrated in general. Hypovolemia, which can be fatal, can result from excessive water intake.

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for all atoms of the same element, the 2s orbital is larger than the 1s orbital. true or false?

Answers

False. For all atoms of the same element, the 2s orbital is not larger than the 1s orbital.

The size or spatial extent of an atomic orbital is primarily determined by its principal quantum number (n). The larger the principal quantum number, the greater the average distance of the electron from the nucleus, resulting in larger orbitals. In this case, the 2s orbital has a larger principal quantum number (n = 2) compared to the 1s orbital (n = 1), which might lead to the misconception that the 2s orbital is larger.

However, in terms of size, the 1s orbital is actually smaller than the 2s orbital. This is because the 1s orbital is closer to the nucleus, experiencing a stronger attraction and resulting in a smaller spatial distribution compared to the 2s orbital. The 2s orbital, being in a higher energy level and having a larger average distance from the nucleus, occupies a larger volume of space.

In summary, the 2s orbital is larger than the 1s orbital in terms of spatial extent and volume.

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How many grams are in 2.85 X 10^23 molecules of CO2?

Answers

Answer:

6,461.44 sana po maka tulong

17. Is the scientific method suitable for solving problems only in
the sciences? Explain.

Answers

Answer:

Hey mate

Explanation:

Yes these methods are only used in biology, chemistry, physics, geology and physcology.... They can't be used in maths or other subject, as it is said SCIENCE IS SCIENCE!

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1.Dante loves taking care of the chickens on his farm. He feeds them rice everyday. His Grandma told him that he should feed them corn everyday instead of rice because it will make them grow fatter. He decides to do an experiment to test what type of food will make his chickens fatter. Before the experiment, the chickens weigh an average of 5 pounds. David makes two groups of chicken. He feeds Group A rice everyday, and feeds Group B corn everyday. After on month, David weighs the chickens to see if they gained any weight. Group A weighs an average of 5 pounds and Group B weighs an average of 7 pounds. What is the Dependent (Outcome) Variable of this experiment?

Answers

Answer:

The dependent variable is the chicken weight

Explanation:

The experiment was carried out to determine the relationship between the size of chickens and the food with which they are fed.

However, to determine the size of the chickens, the weight of the chickens were taken

The two different experimental treatment was administered separately to the two groups of experimental units

The independent variables are;

1) The type of treatment administered which could be either;

i) Feeding the chickens with corn

ii) Feeding the chickens with rice

2) The duration for which the treatment was administered

The dependent variables is the weight of the chicken after being subjected to one of the two experimental treatments.

? Anyone know the answer

? Anyone know the answer

Answers

The amount of heat gained or lost by a sample (q) can be calculated using the equation q = mcΔT, where m is the mass of the sample, c is the specific heat, and ΔT is the temperature change.

In which process is heat not added?In adiabatic process, no transfer of heat takes place between system and surroundingAdiabatic process: When a thermodynamic system undergoes a change in such a way that no exchange of heat takes place between Systems and surroundings, the process is known as an adiabatic process.During an isobaric expansion process, heat enters the system. Part of the heat is used by the system to do work on the environment; the rest of the heat is used to increase the internal energy.:Yes, heat can be added to a body without causing the temperature of the body to rise as in the case of latent heat being added to cause a change of state of the body or isothermal process

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introduction to scientific investigation (kaylangan ko na po yung answer)​

introduction to scientific investigation (kaylangan ko na po yung answer)

Answers

Answer:

1) A

2) P

3) B

4) M

5) I

6) C

7) H

8) J

9) F

10) L

11) N

12) G

13) O

14) K

15) D

Here ya go friend, these should be correct, for the most part.

What is the Hall coefficient (RH​) in Ccc​ if the acceptor doping is 4.18∗10∧15/cc, and the donor doping is 9.40∗10∧15/cc ? Three significant figures and exponential notation 1.23e−4

Answers

The Hall coefficient (RH) in this case is approximately -3.01 * 10^-6 C^-1 cc (rounded to three significant figures in exponential notation).

The Hall coefficient (RH) is a parameter used to describe the behavior of charge carriers in a material when subjected to a magnetic field. It is given by the equation RH = 1/(e * p) where e is the elementary charge and p is the total charge carrier density. In this case, we are given the acceptor doping concentration (Na) and the donor doping concentration (Nd) in units of /cc.

To calculate the Hall coefficient, we need to determine the total charge carrier density (p). The total charge carrier density can be calculated as the difference between the acceptor doping concentration and the donor doping concentration: p = Na - Nd.

Given the acceptor doping concentration Na = 4.18 * 10^15/cc and the donor doping concentration Nd = 9.40 * 10^15/cc, we can substitute these values into the equation to find p:

p = Na - Nd
  = (4.18 * 10^15/cc) - (9.40 * 10^15/cc)
  = -5.22 * 10^15/cc

Now, we can substitute the value of p into the Hall coefficient equation:

RH = 1/(e * p)
    = 1/(1.60 * 10^-19 C * (-5.22 * 10^15/cc))
    = -3.01 * 10^-6 C^-1 cc

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A sphere of radius 0.457 m, temperature 32.2 ∘
C, and emissivity 0.924 is located in an environment of temperature 82.9 ∘
C. At what rate does the sphere (a) emit and (b) absorb thermal radiation? (c) What is the sphere's net rate of energy exchange? (a) Number (b) Number Units Units

Answers

a) The sphere emits thermal radiation at a rate of 139.75 Watts.

b) The sphere absorbs thermal radiation at a rate of 37.66 Watts.

c) The sphere's net rate of energy exchange is 102.09 Watts.

What are the rates of thermal radiation emission, absorption, and net energy exchange for the sphere?

To calculate the rates of thermal radiation emission and absorption, we can use the Stefan-Boltzmann law, which states that the rate of thermal radiation emitted or absorbed by an object is proportional to its surface area, temperature, and the Stefan-Boltzmann constant.

a) The rate of thermal radiation emitted by the sphere can be calculated using the formula:

Emitting Rate = emissivity * surface area * Stefan-Boltzmann constant * (\(temperature^4 - environment\ temperature^4\))

Plugging in the given values:

Emitting Rate = \(0.924 * (4\pi * (0.457)^2) * 5.67 \times 10^{-8} * ((32.2 + 273.15)^4 - (82.9 + 273.15)^4)\)

Emitting Rate ≈ 139.75 Watts

b) The rate of thermal radiation absorbed by the sphere can be calculated in a similar way but using the environment temperature as the object's temperature:

Absorbing Rate = emissivity * surface area * Stefan-Boltzmann constant * (\(environment\ temperature^4 - temperature^4\))

Plugging in the given values:

Absorbing Rate = \(0.924 * (4\pi * (0.457)^2) * 5.67 \times 10^{-8} * ((82.9 + 273.15)^4 - (32.2 + 273.15)^4)\)

Absorbing Rate ≈ 37.66 Watts

c) The net rate of energy exchange is the difference between the emitting rate and the absorbing rate:

Net Rate = Emitting Rate - Absorbing Rate

Net Rate = 139.75 Watts - 37.66 Watts

Net Rate ≈ 102.09 Watts

Therefore, the sphere emits thermal radiation at a rate of 139.75 Watts, absorbs thermal radiation at a rate of 37.66 Watts, and has a net rate of energy exchange of 102.09 Watts.

Note: The units for all the rates are Watts.

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Question
What volume in liters is occupied by 176 grams of propane, C3Hg?
Round answers to one decimal.

Answers

The value for the molar volume of an ideal gas at STP is very important with regard to stoichiometric calculations. The volume occupied by 176 g of C₃H₈ is 89.4 L.

What is molar volume?

The volume occupied by one mole of a substance at a given temperature and pressure is called its molar volume at that temperature and pressure. The molar volume at STP is 22.414 L.

At 0°C and 1 atm, 1 mole of any gas behaving ideally occupies a volume of 22.414 L.

The molar mass of C₃H₈ = 44.097 g/mol

The number of moles (n) is given as:

n = Given mass / Molar mass

n = 176 / 44.097 = 3.99 moles

The volume occupied = 3.99 × 22.414 = 89.43 L

Thus the volume occupied by 113 g of C₃H₈ is 89.4 L.

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Your question is incomplete, but most probably your full question was

What volume in liters at STP is occupied by 176 grams of propane, C3H₈?

Round answers to one decimal.

A 0.075 M aqueous solution of a weak, monoprotic acid is 0.85% ionized. Calculate the value of the ionization constant, Ka, for this acid.

Answers

The value of the ionization constant, Ka, for a weak, monoprotic acid can be calculated as approximately 2.59 x 10⁻⁵.

Determine the value of the ionization constant?

The degree of ionization (α) is defined as the ratio of the concentration of ionized acid ([HA⁺]) to the initial concentration of the acid ([HA]), expressed as a decimal or percentage:

α = [HA⁺] / [HA] * 100%

Given that the solution is 0.85% ionized, α = 0.85/100 = 0.0085.

The ionization constant, Ka, is related to the degree of ionization using the equation:

Ka = (α² * C) / (1 - α)

Where C is the initial concentration of the acid.

Substituting the known values, we have:

Ka = (0.0085² * 0.075 M) / (1 - 0.0085)

Ka ≈ 2.59 x 10⁻⁵.

Therefore, the ionization constant (Ka) for this weak, monoprotic acid is approximately 2.59 x 10⁻⁵.

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Answer the amount of miles of O2

Answer the amount of miles of O2

Answers

Answer:

3

Explanation:

the answer is 3 because it is 3 for the o2 so 3 you have to pay more attention for the small ditails

what are four chemical and physical properties of phosphorus?

Answers

Answer:

Properties: The melting point of phosphorus (white) is 44.1°C, boiling point (white) is 280°C, specific gravity (white) is 1.82, (red) 2.20, (black) 2.25-2.69, with a valence of 3 or 5. There are four allotropic forms of phosphorus: two forms of white (or yellow), red, and black (or violet).Oct 7, 2019

Atomic Number: 15

Atomic Weight: 30.973762

Explanation:

: )

Answer:

Properties: The melting point of phosphorus

Atomic Number: 15

Atomic Weight: 30.973762

Discovery: Hennig Brand, 1669 (Germany)

Which of the following phenomena can only be explained by considering the wave nature of light? Select the correct answer below: - Reflection - Refraction - Interference - None of the above

Answers

Interference can be solely explained by considering the wave nature of light. Therefore, option C is correct.

Interference is a phenomenon that occurs when two or more waves interact with each other. It can be observed in various contexts, including light waves. When two light waves meet, they can either reinforce each other or cancel each other out , depending on their relative phases.

Reflection and refraction can be explained by considering both the particle and wave nature of light. Reflection occurs when light waves bounce off a surface, while refraction refers to the bending of light as it passes from one medium to another.

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explain why only one peak is present (either the anodic or cathodic peak) in a cyclic voltammogram of an irreversible electrochemical reaction.

Answers

In a cyclic voltammogram of an irreversible electrochemical reaction, only one peak is present (either anodic or cathodic) due to the limited reversibility of the reaction.

An irreversible reaction cannot be completely reversed so when the potential of the reaction is increased, the reaction will proceed in the same direction, leading to the formation of a single peak.

The peak represents the forward reaction, either the oxidation or reduction of the species in the reaction.

The magnitude of the peak depends on the rate of the forward reaction and the degree of reversibility of the reaction.

When the potential of the reaction is increased, the reaction will move further in the same direction, and the peak will become more prominent.

The peak will reach a maximum size when the reaction reaches its equilibrium potential, which occurs when the rate of the forward and reverse reactions are equal.

The magnitude of the peak also depends on the rate of diffusion of the species in the reaction. The peak will be smaller when the rate of diffusion is slow, and it will be larger when the rate of diffusion is fast.

The shape of the peak will depend on the degree of reversibility of the reaction, with more symmetrical peaks for reversible reactions and more asymmetrical peaks for irreversible reactions.

Only one peak is present in a cyclic voltammogram of an irreversible electrochemical reaction due to the limited reversibility of the reaction.

The magnitude of the peak is determined by the rate of the forward reaction, the rate of diffusion of the species, and the degree of reversibility of the reaction.

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an aqueous potassium carbonate solution is made by dissolving 6.29 moles of k2co3 in sufficient water so that the final volume of the solution is 4.20 l . calculate the molarity of the k2co3 solution.

Answers

An aqueous potassium carbonate solution is made by dissolving 6.29 moles of K₂CO₃ in sufficient water so that the final volume of the solution is 4.20L. The molarity of a solution is 1.50M.

Molarity is defined as the moles of solute present in the specific amount or volume of a solution. We calculate the moles of a substance using the formula

moles=(mass/molar mass)

If the volume of a solution is given in ml, then convert it into L.

Molarity is calculated as

Molarity=moles/volume(in L)

Given that moles=6.29, and volume=4.20L

Plug both values in the formula

Molarity=(6.29 mol/4.20 L)

Molarity=1.4976 mol/L

Molarity=1.50 M (∵M=mol/L)

Therefore, the molarity of a K₂CO₃ solution is 1.50M.

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Write electron configurations for each of the following elements. Use the symbol of the previous noble gas in brackets to represent the core electrons.
1. Ga
2. As
3. Rb
4. Sn

Answers

The electron configuration for each of the following elements is provided below along with the symbol of the previous noble gas in brackets to represent the core electrons.1.

The electron configuration of an atom represents the distribution of electrons within the atom's atomic orbitals. Each electron shell is filled with electrons, beginning with the innermost shell, which is closest to the nucleus, and progressing outward. The symbol of the previous noble gas in brackets represents the core electrons.

The electron configuration of Ga, which has atomic number 31, is as follows: 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p¹ (Ar)The electron configuration of As, which has atomic number 33, is as follows: 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p³ (Ar)The electron configuration of Rb, which has atomic number 37, is as follows: 1s²2s²2p⁶3s²3p⁶4s¹ (Kr)The electron configuration of Sn, which has atomic number 50, is as follows: 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²4d¹⁰5p² (Kr)

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A pressure of 2 kilopascals (kPa) is acting on a gas with a volume of 60 liters. If the pressure decreases to 1

kPa, what volume will the gas occupy?

Answers

The volume the gas will occupy when the pressure decreases to 1 kPa is 120 liters.

To answer your question, we can use Boyle's Law, which states that the product of pressure (P) and volume (V) is constant for a given amount of gas at a constant temperature. In this case:

Initial pressure (P1) = 2 kPa
Initial volume (V1) = 60 liters
Final pressure (P2) = 1 kPa
Final volume (V2) = ?

Using Boyle's Law, P1 * V1 = P2 * V2. Plugging in the given values:

(2 kPa) * (60 liters) = (1 kPa) * V2

Solving for V2, we find:

V2 = (2 kPa * 60 liters) / 1 kPa
V2 = 120 liters

So, when the pressure decreases to 1 kPa, the gas will occupy a volume of 120 liters.

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you are given the density of an irregular object. describe how you could find the mass of the irregular solid object without using and electronic balance

Answers

Answer:

use mass and volume

Explanation:

another way to find the density of an object is using density = mass/ volume

use the simple equation of d= m/v. just imput your values and the equation will always work.

We can find the density by using mass and volume relationship formula.

What is Density ?

Density, is the substance's mass per unit of volume.

The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume:

Thus, to find the density of an object we can use ;

               Density = mass/ volume

                      ρ    =       M/ V

Therefore, We can find the density by using mass and volume relationship formula.

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What is the mass, in grams, of a 12.0cm³ sample of aluminum? The density of aluminum is 2.70g/cm³

Answers

Answer:

The answer is

32.4 g

Explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question

volume of aluminum = 12 cm³

Density = 2.70 g/cm³

The mass of aluminum is

mass = 2.7 × 12

We have the final answer as

32.4 g

Hope this helps you

The diagram shows the molecular structure of butane. What is the chemical
formula for butane?
Butane
H
Н

н—с-с-с-с-Н
|| []
Н н н Н
А. 4C1ОН
В. С4Н10
С. 4CH10
D. HC4H

The diagram shows the molecular structure of butane. What is the chemicalformula for butane?ButaneHH----||

Answers

Answer: B

Explanation: sorry if I'm too late but i just did this question and that was the right answer

if a compounds of calcium oxide has a mass of 5.45 g what would be the number of moles for this mass? (round to the fourth decimal place)

Answers

Explanation:

First, we need to know that Calcium oxide is:

CaO.

Molar mass of it is:

Ca = 40 g/mol

O = 16 g/mol

CaO = 56 g/mol

To discover the number in moles of 5.45 g of CaO we just need to use the following formula:

n = m/MM

m = 5.45

MM = 56 g/mol

n = 5.45/56

n = 0.09732 moles

Answer:

0.09732 moles

Tienen capacidad de fijar enerjgia luminosa utilizando agua y co2 para transformarlo en carbohidratos

Answers

Answer:

las plantas

Explanation:

Las plantas son los seres vivos capaces de transformar energía luminosa utilizando agua y dióxido de carbono (CO₂) en energía química en forma de moléculas llamadas carbohidratos. El proceso a través del cual realizan esto se denomina fotosíntesis, y para ello requieren un pigmento de color verde denominado clorofila, el cual es necesario para captar la energía luminosa proveniente del Sol.

Use linear algebra to balance the chemical equation: C7H₁6 +0₂ → CO₂ + H₂O. 20. Let V be the set of all vectors in ³ whose components sum to zero (e.g. (-5, 2, 3) is in the set V but (0, 0, 1) is not). Is V a subspace of R³2 Give compelling evidence either way. 15. (Determine the quadratic interpolant to the given data set using linear algebraic techniques. (The quadratic interpolant is a quadratic equation that best approximates the data set). {(6.667, 46.307), (4.567, 16.582), (3.333, 4.857)}

Answers

The balanced chemical equation is:

0.5C7H16 + O2 → 0.5CO2 + H2O

For balancing the chemical equation C7H16 + O2 → CO2 + H2O, we can use linear algebraic techniques. We need to determine the coefficients that balance the number of atoms on both sides of the equation.

Let's denote the coefficients for C7H16, O2, CO2, and H2O as a, b, c, and d, respectively.

The balanced chemical equation can be written as:

aC7H16 + bO2 → cCO2 + dH2O

To balance the carbon (C) atoms, we have:

7a = c (Equation 1)

To balance the hydrogen (H) atoms, we have:

16a = 2d (Equation 2)

To balance the oxygen (O) atoms, we have:

2b = 2c + d (Equation 3)

We have three equations (Equations 1, 2, and 3) and four unknowns (a, b, c, d). To solve this system of equations, we can write it in matrix form and find the solution using linear algebraic techniques.

The augmented matrix for the system of equations is:

[ 7 0 -1 0 | 0 ]

[ 0 0 0 -2 | 0 ]

[ 0 -2 2 -1 | 0 ]

By performing row operations to row-reduce the augmented matrix, we can obtain the solution:

[ 1 0 -0.5 0 ]

[ 0 1 -1 -0.5 ]

[ 0 0 0 0 ]

The solution to the system of equations is:

a = 0.5

b = 1

c = 0.5

d = 1

Putting the values of a,b,c, and d we get the balanced chemical equation as:

0.5C7H16 + O2 → 0.5CO2 + H2O

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