Answers
Explanation:
The molar mass of a substance is the mass in grams of one mole of the substance. In a compound, add the atomic masses of the components.
HCl
Atomic mass of H = 1g/mol, Cl = 35.5g/mol
HCl = (1 + 35.5) = 36.5g/mol
ZnF₂
Atomic mass of Zn = 65.4g/mol, F = 19g/mol
ZnF₂ = 65.4 + 2(19) = 103.4g/mol
K₂CO₃
Atomic mass of K = 39, C = 12, O = 16
K₂CO₃ = 2(39) + 12 + 3(16) = 138g/mol
FePO₄
Atomic mass of Fe = 55.8, P = 31, 0 = 16
FePO₄ = 55.8 + 31 + 4(16) = 150.8g/mol
Cu₂S
Atomic mass of Cu = 63.5g/mol, S = 32
Cu₂S = 2(63.5) + 32 = 159g/mol
Each term in the series represents a sinusoidal component with a frequency of (kπ/4) and an amplitude of 4.
To express the given periodic signal x(t) in the form x(t) = ∑[k=0 to infinity] A_k cos(w_kt + ϕ_k),\
we can use the formula for the Fourier series representation of a periodic signal.
1. First, let's find the values of A_k, w_k, and ϕ_k using the given Fourier series coefficients.
The given coefficients are:
a_1 = a_-1* = j
a_5 = a_-5 = 2
Since x(t) is real-valued, the coefficients for negative frequencies (a_-k) are the complex conjugates of the coefficients for positive frequencies (a_k).
From the given coefficients, we can determine the values of A_k:
A_1 = a_1 + a_-1 = j + conj(j) = j - j = 0
A_5 = a_5 + a_-5 = 2 + conj(2) = 2 + 2 = 4
Since the fundamental period T is 8, the fundamental frequency is ω_0 = 2π/T = 2π/8 = π/4.
The values of w_k can be determined as:
w_0 = 0
w_k = k * w_0 = k * (π/4) for k ≠ 0
The values of ϕ_k can be determined as:
ϕ_0 = 0
ϕ_k = arg(a_k) for k ≠ 0
2. Now, let's express x(t) in the desired form using the determined values.
x(t) = A_0 cos(w_0t + ϕ_0) + ∑[k=1 to infinity] A_k cos(w_kt + ϕ_k)
Substituting the values we found:
x(t) = 0 cos(0t + 0) + ∑[k=1 to infinity] 4 cos((kπ/4)t + arg(a_k))
Simplifying:
x(t) = ∑[k=1 to infinity] 4 cos((kπ/4)t + arg(a_k))
This is the expression of x(t) in the desired form.
Remember that the series is infinite, so it includes all integer values of k.
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Related Questions
When heated, calcium carbonate decomposes according to the equation given below:
CaCO3 --> CaO + CO2
How many liters of CO2 at STP are produced when 0.68 mol of CaCO3 is heated?
15.2 L
30.4 L
0.679 L
68.0 L
Answers
Answer:
15.2L at STP
Explanation:
Given reaction expression;
CaCO₃ → CaO + CO₂
Number of moles of CaCO₃ = 0.68mol
Unknown:
Volume of CO₂ produced at STP = ?
Solution:
To solve this problem, we must first find the number of moles CO₂ produced,
1 mole of CaCO₃ will produce 1 mole of CO₂
0.68mole of CaCO₃ will produce 0.68mole of CO₂ at STP
Now;
1 mole of gas occupies a volume of 22.4L at STP;
0.68mole of CO₂ will then occupy 0.68 x 22.4 = 15.2L at STP
uh here’s the 20 characters
Answers
Mass of the product : 6.039 g
Further explanationThe reaction equation is the chemical formula of reagents and product substances
A reaction coefficient is a number in the chemical formula of a substance involved in the reaction equation. The reaction coefficient is useful for equalizing reagents and products
Reaction
Ba(s)+Cl₂(g)⇒BaCl₂(s)
mol Ba(MW=137,327 g/mol) :
[tex]\tt \dfrac{4}{137.327}=0.029[/tex]
Mass of BaCl₂ :(MW=208,23 g/mol)
[tex]\tt 0.029\times 208.23=6.039~g[/tex]
For the following elements, calculate the average atomic mass. Carbon-12
98.93%, Carbon-13 1.07% *
Answers
Answer:
Average atomic mass of carbon = 12.01 amu
Explanation:
Given data:
Average atomic mass = ?
Percent abundance of C-12 = 98.93%
Percent abundance of C-13 = 1.07%
Solution:
Average atomic mass of carbon = (abundance of 1st isotope × its atomic mass) +(abundance of 2nd isotope × its atomic mass) / 100
Average atomic mass of carbon = (98.93×12)+(1.07×13) /100
Average atomic mass of carbon= 1187.16 + 13.91 / 100
Average atomic mass of carbon = 1201.07/ 100
Average atomic mass of carbon = 12.01 amu
Which law is described by saying that when the pressure of a gas in a sealed container is cut in half, the gas will double in volume at a steady temperature? Boyle’s law Charles’s law Dalton’s law Gay-Lussac’s law
Answers
the answer is boyle's law
Answer:
A.Boyle's Law
Explanation:
Other guy is right Edg. 2020
Which of the following compounds have the same empirical formula?
CO2 and SO2
C7H14 and C10H20
C4H10 and C10H4
CoH12 and CoH14
Answers
Answer:
C₇H₁₄ and C₁₀H₂₀
Explanation:
The empirical formula is that which expresses the composition of a compound in the simplest whole number ratio of the atoms of the different elements that makes up the compound.
C₇H₁₄ and C₁₀H₂₀
In both species if we divide the number of atoms by the simplest common factor, we get CH₂
C₇H₁₄ = CH₂ dividing by 7
C₁₀H₂₀ = CH₂ dividing by 10
You have three substances that are all solids at room temperature and want to know which substance
has the strongest attractive forces between particles.
How could you design an experiment to determine which substance has the strongest attractive forces? Be sure to state what you would do in the laboratory and what data you would collect.
Answers
Answer:
please follow me
you can just search it on chrome and it will give you the answer to your question
How is a molecular formula written??
Answers
Answer:
Molecular Formula is a representation of a compound that what atoms of elements are present in the molecule of a compound. The actual numbers of atoms of each element that occur in the smallest free unit or molecule of the compound is expressed by the molecular formula of the compound. Molecular formulas contain no information about the arrangement of atoms. Because of this, one molecular formula can describe a number of different chemical structures only.
Please help me I am confused
Answers
Where did the pendulum have the maximum potential energy?
Answers
Answer:
potential energy is maximum in extreme position and kinetic energy is maximum at it's mean position.
Use context clues to determine whether the bolded word in each sentence has a positive or negative connotation.
It’s fun to hang out with Serena
because she’s always
laid-back and relaxed.
Seth is so chatty that he won’t
even listen to what anyone
else has to say.
Michaela is so modest, she
never brags about her
accomplishments.
My brother is stingy because
he refuses to share anything
with me.
Desmond’s witty stories made us
laugh all night long.
Answers
Answer:
Answer:
1. Positive
2. Negative
3. Positive
4. Negative
5 positive
Explanation: I did this test before
The words have a positive, negative, positive, negative, positive connotation respectively in each of the given sentence.
What is connotation?
Connotation is defined as a property of a particular word or name which describes the ideas or qualities of the word.It is rather being named explicitly or described.
It is frequently described as a positive or negative connotation which is in connection with its pleasing or displeasing connection. Connotation can have words with literal meaning with what they specifically denote.
There are two types of connotations positive connotation and negative connotation wherein positive connotation has positive impact while negative connotation has negative impact.It describes the primary word and it is not necessary that it be present in the sentence or phrase.
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Which phrase describes the relative age of a rock?
A uses the law of superposition to determine which rock is older or younger
B can determine the age based on location of a rock within the same layer
C requires only one rock to determine the age
D can provide the exact age of a rock
Answers
Answer:
i think it MIGHT be D
Explanation:
Answer:
b
Explanation:
edge :)
Which statement describes the moment magnitude scale? Sorry if problemy not chemistry.
Answers
Answer:
Explanation:
The moment magnitude scale is a scale that rates earthquakes by estimating the total energy released by an earthquake . Estimating the total amount of energy released, enables comparison of earthquakes more accurately
i hope this helps :)
Which of these elements has an electron dot
notation that is different from the rest?
O radon, Rn
O krypton, Kr
O helium, He
Xenon, Xe
neon, Ne
argon, Ar
Postpone
SIIRMIT
Answers
Answer:
i think is o helium, He........
The electron dot structure of neon, argon, krypton, xenon and radon contains 8 valence electrons whereas, helium contains only 2 electrons. Thus, He is different from others.
What are noble gases?Noble gases are 18th group elements in periodic table. They have completely filled electronic configuration. They need not to lose or gain electrons because they are stable.
Noble gases are helium, neon, argon , krypton, xenon and radon. He contains 2 electrons only. Its valence shell K is filled that's why He is considered as noble gas.
All other elements in the group neon, argon, krypton, xenon and radon contains 8 valence electrons. Therefore, the dot structure of He is different from its group members.
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The fluorine ion, F, has one more electron than a neutral fluorine atom.
a) How many pea-halves do you need?
b) Fill the sublevels in the correct order for the fluorine ion and write the electron configuration for the charged atom.
Answers
Answer:
a) three pea halves
b) Electron configuration of the fluorine ion 1s2 2s2 2p6
Explanation:
The fluorine atom has seven electrons in its outermost shell and a total of nine electrons occupying three shells.
In the fluoride ion, the fluorine atom accepts one more electron to complete its outermost shell configuration (to have a filled shell as shown).
Hence the fluoride ion has 10 electrons with an electronic configuration of 1s2 2s2 2p6.
The density of a gas is 1.25 grams/liter. Which of the following is correct to convert the density of the gas to ounce/milliliter? [1 gram = 0.04 ounce, 1 liter = 1,000 milliliter] (4 points)
Multiply 1.25 by 0.04 and divide the result obtained by 1,000
Divide 1.25 by 0.04 and multiply the result obtained by 1,000
Divide 1.25 by the product of 0.04 and 1,000
Multiply the numbers 1.25, 0.04, and 1,000
Answers
Answer:
Multiply 1.25 by 0.04 and divide the result obtained by 1,000
Explanation:
Given parameter:
Density of the gas:
1.25 g/L
Now the problem here is to convert to ounce/milliliter;
1gram = 0.04ounce
1 liter = 1000mL
So;
1.25g/ L x [tex]\frac{0.04 ounce}{1g}[/tex] x [tex]\frac{1L}{1000mL}[/tex] = 5 x 10⁻⁵ounce/mL
Write the chemical equation:
hydrogen peroxide decomposes to yield oxygen gas and water.
Answers
Explanation:
2 H2O 2 → 2H 2 O + O2.........
A scientist is studying rock formations. She notices some unusual rocks like those pictured here. What can she conclude about this area? It was part of a slow underwater eruption. It was formed at a subduction zone. It is moving toward a mid-ocean ridge. It is a very young piece of land.
Answers
Answer:
It was part of a slow underwater eruption.
Explanation: Or just A (:
Answer:
i agree with the human above me
Explanation:
love ye have a great day but i didnt have a good day bc my uncle ate my cheese puffs :'( anyways i got a 100 on the assaignment and this was the only answer i had to look up im proud of me
Which shows a correct association between a structure and one of its functions?
A.) Pores receive sensory information.
B.) Oil regulates temperature.
C.) Vitamin D protects against bacteria.
D.) Sweat glands remove waste.
Answers
Answer:
D
Explanation:
Sweat glands remove waste
The correct association that lies between the structure and one of its functions is option D Sweat glands remove waste.
What is a sweat gland that eliminates waste?The sweat represents the fluid that comprises of mainly of water also there is much dissolved solid wastage that should be excreted via the sweat glands. It eliminates the excess water and salts also it served the function of colling the body at the time of thermoregulation.
Therefore, the option D is correct.
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1) Which type of bond involves valence electrons constantly moving between atoms, like a sea of electrons?
a. Ionic
b. Covalent
c. Molecular
d. Metallic
(if you answer this i will give you brainliest) ---
2) An atom of Nickel (Ni) has bonded to another atom to form a solid, crystal-like substance with a high boiling point. Which atom has Ni most likely bonded with?
a. Ca
b. Fe
c. S
d. Li
Answers
Answer:
d. Metallic
c. S
Explanation:
A metallic bond is an interatomic bond in which valence electrons are constantly moving between atoms like a sea of electrons.
The formation of this bond type is favored by a large atomic radius, low ionization energy, and a large number of electrons in the valence shell. The metallic bond is an attraction between the positive nuclei of all the closely packed atoms in the lattice and the electron cloud jointly formed by all the atoms losing their outermost shell electrons.2. The bond type described in the second problem is an ionic bond. This results in the formation of crystal lattice with strong bonds.
It occurs between metals and non-metalsSince Nickel is a metal, sulfur is the only given non-metal that will make it form an ionic bond.what is the speed and appearance of most cold fronts
Answers
Answer:
25mph
Explanation:
cold fronts generally Advance at an average speed of 20 to 25 miles per hour. Towards the east faster in the winter than summer and are usually oriented along the northeast to Southwest line
Hi guys! Quick question... sweet or savory??
Answers
Answer: savory
Explanation:
SWEET is better in my opinion.
Donna is trying to make an electromagnet to pick up old nails around her driveway. Which of these materials would be best to use for the core in order to make the strongest electromagnet to pick up the most nails?
Answers
Answer:
iron nail
Explanation:
on platoo
Eric throws a basketball straight up into the air. As it rises, which form of energy is increasing?
A.
elastic potential energy
B.
electrical energy
C.
gravitational potential energy
D.
kinetic energy
Answers
Answer:
c.
Explanation:
Gravitational potential energy will rises
what does energy of motion refer to
Answers
Answer:
Motion energy – also known as mechanical energy – is the energy stored in moving objects. As the object moves faster, more energy is stored. Motion energy is the sum of potential and kinetic energy in an object that is used to do work.
Explanation:
Hope this helped if so please leave a rating! :)
Thanks!
In an avalanche, a large amount of snow slides down a hill. What energy
conversion takes place during an avalanche?
Answers
Gravitational potential energy to kinetic energy. Hence, option A is correct.
What is kinetic energy?
Kinetic energy is a form of energy that an object or a particle has by reason of its motion
If an avalanche occurs, the snow on the mountain accelerates downslope, converting more gravitational potential energy to kinetic energy.
Hence, option A is correct.
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HURRY FOR A TEST! The ionization energies for removing successive electrons from sodium are 496 kJ/mol, 4562 kJ/mol,
6912 kJ/mol, and 9544 kJ/mol. The great jump in ionization energy after the first electron is removed
indicates that
Select one:
a. sodium has four or five electrons.
b. the atomic radius has increased.
c. a d-electron has been removed.
d. the noble gas configuration has been reached.
Answers
Answer:
D. The noble gas configuration has been reached.
Explanation:
In a laboratory, bunsen burner is used to increase the temperature of lime from 10 °C to 50 °C with the thermal energy of 80000 J. If the mass of the lime is 20 kg the specific heat capacity of the lime would be a 50 J/g C b 100 J/g C c 75 J/g C d 25 J/g C
Answers
Answer:
c = 100 J/g.°C
Explanation:
Given data:
Mass of lime = 20 g
Heat absorbed = 80,000 J
Initial temperature = 10°C
Final temperature = 50°C
Specific heat capacity of lime = ?
Solution:
Specific heat capacity:
It is the amount of heat required to raise the temperature of one gram of substance by one degree.
Formula:
Q = m.c. ΔT
Q = amount of heat absorbed or released
m = mass of given substance
c = specific heat capacity of substance
ΔT = change in temperature
ΔT = 50°C - 10°C
ΔT = 40°C
80,000 J = 20 g×c×40°C
80,000 J = 800°C×c
c = 80,000 J /800g.°C
c = 100 J/g.°C
The specific heat capacity of the lime would be is c = 100 J/g.°C
The calculation is as follows:The following formula should be used:
Q = m.c. ΔT
here
Q = amount of heat absorbed or released
m = mass of given substance
c = specific heat capacity of substance
ΔT = change in temperature
Now
ΔT = 50°C - 10°C
= 40°C
So,
80,000 J = 20 g×c×40°C
80,000 J = 800°C×c
c = 100 J/g.°C
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How does the level of intermoleculars bonding between the particles in matter affect the state of matter the particles are taking
Answers
Explanation:
Intermolecular force s between particles in a matter holds particles of molecules together in substances.
The stronger the intermolecular forces the more solid a substance is. The weakest intermolecular attraction are found in gases as they have negligible attractive forces in between their particles. Solids are held together by very strong attractive forces. Liquids have weak forces holding them in place and this allows for a little movement. Gases are typically have very weak to negligible attractive forces.The power of a crane is 25000 watt. What work will be done by it in 4 seconds?
Answers
Answer:
100000J
Explanation:
Given parameters:
Power of the crane = 25000W
Time taken = 4s
Unknown:
Work done by the crane = ?
Solution:
Power is the rate at which work is being done. It is expressed as:
Power = [tex]\frac{Work done }{Time taken }[/tex]
Work done = Power x Time taken
Now insert the parameters and solve;
Work done = 25000 x 4 = 100000J
what is a catalyst?what is the catalyst used for manufacturing ammonia?
Answers
Answer:
finely divided iron is used as catalyst in the manufacture of ammonia by haber's process