Calculate the frequency of a wave with a wavelength is 6.0 x 10​-7​ m.

Answers

Answer 1

Taking into account the definition of wavelength, frecuency and propagation speed, the frequency of the wave is 4.9967×10¹⁴ m.

Definition of wavelength

Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).

Definition of frequency

Frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).

Propagation speed

The propagation speed is the speed with which the wave propagates in the medium.

The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following expression:

v = f×λ

All electromagnetic waves propagate in a vacuum at a constant speed of 2,998×10⁸ m/s, the speed of light.

Frequency of the wave in this case

In this case, you know:

v= 2,998×10⁸ m/sf= ?λ= 6×10⁻⁷ m

Replacing in the definition of propagation speed:

2,998×10⁸ m/s= f× 6×10⁻⁷ m

Solving:

f= 2,998×10⁸ m/s ÷ 6×10⁻⁷ m

f= 4.9967×10¹⁴ m

In summary, the frequency of the wave is 4.9967×10¹⁴ m.

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Related Questions

Polartiy in a sentance

Answers

A tiny permanent magnet is always susceptible to demagnetization or having the polarity of the magnet reversed by lightning.

Even a permanent magnet is sensitive to induction, which can cause its polarity to change and become stronger, weaker, or even reversed.

What is polarity so crucial to life?

Not just in multicellular creatures but also in individual cells and subcellular structures, polarity enables the development of functional complexity. Polar organisation enables physical relationships between areas with various functions in a way that supports function integration across the entire organism.

The polarity of water causes hydrogen bonds to form when adjacent water molecules are drawn to one another by their opposing charges. Other polar molecules and ions, such as many biomolecules including sugars, nucleic acids, and certain amino acids, are likewise drawn to or attracted by water.

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85 mL of 0.75 M NaOH is completely
neutralized by 15 mL of H₂SO4. What is the molarity of the H₂SO4 solution?

Answers

The molarity of the H₂SO₄ solution is 2.125 M.

To determine the molarity of the H₂SO₄ solution, we can use the concept of stoichiometry and the balanced chemical equation for the neutralization reaction between NaOH and H₂SO₄.

The balanced equation for the reaction is:

2 NaOH + H₂SO₄ → Na₂SO₄ + 2 H₂O

From the balanced equation, we can see that it takes two moles of NaOH to react with one mole of H₂SO₄.

Given that the volume of NaOH solution is 85 mL and its concentration is 0.75 M, we can calculate the number of moles of NaOH using the formula:

moles = concentration x volume (in liters)

moles of NaOH = 0.75 M x 0.085 L = 0.06375 moles

Since the stoichiometry of the reaction tells us that 2 moles of NaOH react with 1 mole of H₂SO₄, we can deduce that the number of moles of H₂SO₄ used is half of the moles of NaOH:

moles of H₂SO₄ = 0.06375 moles / 2 = 0.031875 moles

Now, we need to find the molarity of H₂SO₄. The volume of H₂SO₄ solution used is 15 mL, which is equivalent to 0.015 L. Therefore:

Molarity of H₂SO₄ = moles of H₂SO₄ / volume of H₂SO₄ (in liters)

Molarity of H₂SO₄ = 0.031875 moles / 0.015 L = 2.125 M

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Compare the purple and orange arrows. Does more energy go into breaking bonds, or is more energy released when new bonds form?

Answers

Answer:

The breaking of chemical bonds never releases energy to the external environment. Energy is only released when chemical bonds are formed. In general, a chemical reaction involves two steps: 1) the original chemical bonds between the atoms are broken, and 2) new bonds are formed. These two steps are sometimes lumped into one event for simplicity, but they are really two separate events. For instance, when you burn methane (natural gas) in your stove, the methane is reacting with oxygen to form carbon dioxide and water. Chemists often write this as:

CH4 + 2 O2 → CO2 + 2 H2O + energy

Explanation:

here is the answer

what is the amount of heat required to raise the temperature of 125.0 g of aluminum by 12c? (specific heat of aluminum

Answers

The amount of heat required to raise the temperature of 125.0 g of aluminum by 12°C is 1611 joules.

Temperature = 12°C

Mass = 125.0 g

To estimate the amount of heat required, we need to use the formula:

Q = m * c * ΔT

Q = the amount of heat in joules

m = the mass of the substance in kilograms

c = the specific heat capacity of the substance

ΔT = the change in temperature in degrees

The specific heat capacity of aluminum = 0.897 J/g°C.

Q = 125.0 g * 0.897 J/g°C * 12°C

Q = 1611 J

Therefore, we can conclude that the amount of heat required is 1611 J.

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An f orbital can
hold_electrons.
A. 2
B. 6
C. 10
D. 14

Answers

Answer:

The answer for this question is D.) 14

Which conditions are likely to follow the current conditions in the area you focused on in the previous map? Select three responses. High dew point less humidity no precipitation lower pressure cooler temperatures.

Answers

Answer: 2,3 and 5

Explanation:

Answer:

B. Less humidity

C. No precipitation

E. Cooler temperatures

( Hope this helps ) <3    ( Give person above brainliest )

Which conditions are likely to follow the current conditions in the area you focused on in the previous

Identify and describe the processes that change rock below Earth's surface.

Answers

Answer:

crystallization, metamorphism, and erosion and sedimentation.

~+lil more info+~

The three processes that change one rock to another are crystallization, metamorphism, and erosion and sedimentation. Any rock can transform into any other rock by passing through one or more of these processes. This creates the rock cycle.

2.60x1023 molecules of hexane (C6H14) and 7.00x1023 molecules of O2 are available for a combustion reaction. Theoretically, how many molecules of water can be produced?

Answers

The first step is to write the combustion reaction of hexane:

\(\begin{gathered} 2C_6H_{14}+19O_2\rightarrow12CO_2+14H_2O \\ \end{gathered}\)

Now, we can use Avogadro's Number to find the amount of moles of hexane and O2 that are reacting:

\(\begin{gathered} 2.60\times10^{23}molecules\cdot\frac{1mol}{6.023\times10^{23}molecules}=0.43molC_6H_{14} \\ 7.00\times10^{23}molecules\cdot\frac{1mol}{6.023\times10^{23}molecules}=1.16molO_2 \end{gathered}\)

Using the stated reaction we can determine the amount of moles of O2 that react with 0.43 moles of hexane:

\(0.43moles\cdot\frac{19molesO_2}{2molesC_6H_{14}}=4.085molesO_2\)

From this we can conclude that the limiting reactant is the O2, which means that we have to use the amount of O2 to make the calculations. Use this amount and the stoichiometric ratio of O2 and H2O to find the amount of water produced from 1.16moles of oxygen:

\(1.16molO_2\cdot\frac{14molH_2O}{19molO_2}=0.85molesH_2O\)

Now, we can use Avogadro's number to convert the amount of moles produced to molecules:

\(0.85molesH_2O\cdot\frac{6.023\times10^{23}moleculesH_2O}{1molesH_2O}=5.12\times10^{23}moleculesH_2O\)

It means that 5.12x10^23 molecules of water are produced.

Select the correct answer.
Which of these is always equal to the molar mass of any element?
ΟΑ. .
its atomic number
OB.
its atomic weight
OC.
its atomic formula
OD.
its atomic structure
Reset
Next

Answers

Answer:

its atomic weight

Explanation:

The correct answer is B

Which of the following compounds has ionic bonds?
a. H2O
b. O2
c. Ne
d. CO
e. KBr

Answers

The compound that has ionic bonds is KBr (potassium bromide). Therefore the correct option is Option E.

Ionic bonds develop when two atoms with significantly differing electronegativities create a bond in which one atom (the metal) contributes electrons to the other atom (the non-metal). Potassium (K) is a metal in KBr, while bromine (Br) is a nonmetal. The electronegativity of K is low, whereas that of Br is high. When K and Br bond, K contributes its valence electron to Br, resulting in an ionic bond.

The other chemicals listed, on the other hand, have covalent bonding. When atoms with similar electronegativities share electrons in order to produce a more stable electron configuration, covalent bonds occur.

a. H2O has covalent bonds;

b. O2 contains covalent bonds; and

c. Ne is a noble gas that does not create bonds.

d. CO contains covalent bonds.

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How many moles of kno3 are in 500.0 ml of 2.0 m kno3? mol kno3

Answers

Answer:

1mole

Explanation:

The concentration of a substance is the amount of the solute present in a given quantity of solution. It is the number of moles of the solute in 1 L of the solution. Here the number of moles is 4.

What is a mole?

One mole of a substance is defined as that quantity of it which contains as many entities as there are atoms exactly in 12 g of carbon - 12. The formula used to calculate the number of moles is:

Number of moles = Given mass / Molar mass

The equation connecting concentration, volume and the number of moles is:

n = C / V

n = Number of moles

C = Concentration

V = Volume

1L = 1000 mL

500 mL = 0.5 L

n = 2.0 / 0.5 = 4

Thus the number of moles is 4.

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which of the following describes a liquid

which of the following describes a liquid

Answers

Answer:

b I beleive

Explanation:

the shape of a liquid changes based on the container it is in, but the volume stays the same

Answer:

Option B

Explanation:

27. What pattern in the behavior of gases is shown from Step I through Step 3 of the figure?

Answers

Answer:

Boyle's law

Explanation:

An ionic bond is the attraction between _____.

Answers

Answer:

oppositely charged ions in a chemical compound

Explanation:

Answer:

Between ions

Explanation:

If 78.2 grams of oxygen (o2) react with plenty of copper cu, how many moles of
copper (ii) oxide (cuo) will be produced?

Answers

78.2 grams of oxygen (O₂) reacted with copper (Cu) to produce copper (II) oxide (CuO). When the oxygen reacts with 4.88 moles of copper, it will produce 9.76 moles of copper oxide (CuO).

The balanced chemical equation for the reaction between oxygen and copper is:

2Cu + O₂ → 2CuO

From the equation, we see that 1 mole of O₂ reacts with 2 moles of Cu to produce 2 moles of CuO.

First, we need to convert the given mass of O₂ to moles:

78.2 g O₂ × (1 mol O₂/32.00 g O₂) = 2.44 mol O₂

According to the stoichiometry of the balanced equation, 2 moles of Cu are required for every 1 mole of O₂ reacted. Therefore, the moles of Cu needed can be calculated as:

2.44 mol O₂ × (2 mol Cu/1 mol O₂) = 4.88 mol Cu

So, 4.88 moles of Cu will react with 78.2 grams of O₂ to produce 9.76 moles of CuO.

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PLS ANSWER ASAP

How are natural resources managed for maximum usability and sustainability?

Answers

They are contained in environments that best sustain them

7. The equation for this reaction is shown below.
4CuO(s) + CH4(g) → 4Cu(s) + 2H2O(g) + CO2(g)
-
The water and carbon dioxide produced escapes from the test tube.
Use information from the equation to explain why.

Answers

Answer:

because the lighted splint is burnt and the water and carbon dioxide starts to explode

An object is hit with a force of 5 Newtons and accelerates to 36 m/s2. What is the mass of the object

Answers

Answer:

Mass = 0.139 kg

Explanation:

There is a formula in terms of force, acceleration and mass which is:

Force = mass × acceleration

Put the values into the formula.

5 = m × 36

m = 5 ÷ 36

m = 0.139 kg

A certain source emits radiation of wavelength 525 nm, What is the energy, in j.

Answers

Answer:

\(3.7837 \times {10}^{ - 19} j\)

Explanation:

\(e = \frac{hc}{ \lambda} \\ where \: h \: = plancks \: constant \\ and \: c = speed \: of \: light\)

Planck constant value: h = \(6.62606957 \times {10}^{ - 34} j \: s\: \)

speed of light constant: c = \(299,792,458 \frac{m}{ s} \)

\(hc = 6.62606957 \times {10}^{ - 34} j \: s\: \: \times \\ 299792458 = 1.98645 \times {10}^{ - 25} j \: m\)

Divide the wavelength in nanometers by 10^9 to calculate the value in meters.

\( \frac{525}{ {10}^{9} } = 5.25 \times {10}^{ - 7} m\)

\(e = \frac{hc}{ \lambda} \\ = \frac{1.98645 \times {10}^{ - 25} j \: m}{ 5.25 \times {10}^{ - 7} m} \)

\( = 3.7837 \times {10}^{ - 19} j\)

calculate the ph at the following points in a titration of 40 ml (0.040 l) of 0.100 m barbituric acid (ka

Answers

Barbituric acid has a dissociation constant (Ka) of approximately 3.9 x 10^-5. To calculate the pH at different points in a titration of barbituric acid, we need to know the volume and concentration of the titrant being added. Let's assume we are titrating the barbituric acid with 0.1 M NaOH.

At the start of the titration (before any NaOH is added), the barbituric acid is present in its acidic form. The pH of the solution can be calculated using the following equation:

pH = pKa + log([A-]/[HA])

where pKa is the negative logarithm of the dissociation constant, [A-] is the concentration of the conjugate base (barbiturate ion), and [HA] is the concentration of the acid (barbituric acid).

Plugging in the values for barbituric acid, we get:

pH = pKa + log([A-]/[HA])
pH = 4.41 + log([0]/[0.1])
pH = 4.41 - 1
pH = 3.41

At the equivalence point of the titration, all of the barbituric acid has reacted with the NaOH to form the barbiturate ion. The pH of the solution can be calculated using the following equation:

pH = pKa + log([A-]/[HA])

At the equivalence point, [A-] = [HA] = 0.05 M (since 0.01 moles of NaOH have been added to 0.01 moles of barbituric acid in 40 mL of solution, resulting in 0.05 M of the barbiturate ion and 0.05 M of the conjugate acid in the final volume of 80 mL). Plugging in the values for barbituric acid, we get:

pH = pKa + log([A-]/[HA])
pH = 4.41 + log([0.05]/[0.05])
pH = 4.41 + 0
pH = 4.41

Therefore, the pH at the start of the titration is 3.41, and the pH at the equivalence point is 4.41.

pH at the start of the titration  of barbituric acid is 4.58.

To calculate the pH at different points in a titration of barbituric acid, you need to know the dissociation constant (Ka) of the acid and the volume and concentration of the acid and base being used.

Barbituric acid has a Ka value of 2.6 x 10^-5.

Let's assume you are titrating the barbituric acid with 0.100 M sodium hydroxide (NaOH). The balanced chemical equation for this reaction is:

H2C4H2N2O3 + NaOH → NaC4H2N2O3 + H2O

At the start of the titration, the pH of the solution is determined by the concentration of the barbituric acid. Since it is a weak acid, you can use the Ka value to calculate the pH using the equation:

pH = pKa + log([A-]/[HA])

Where pKa is the negative logarithm of the dissociation constant, [A-] is the concentration of the conjugate base (in this case, NaC4H2N2O3), and [HA] is the concentration of the acid (in this case, H2C4H2N2O3).

Plugging in the values, you get:

pH = 4.58 + log([NaC4H2N2O3]/[H2C4H2N2O3])

pH = 4.58 + log(0/[H2C4H2N2O3])

pH = 4.58

So the pH at the start of the titration is 4.58.

As you add the NaOH solution to the barbituric acid, the pH will increase. At the halfway point of the titration, known as the equivalence point, the number of moles of NaOH added is equal to the number of moles of barbituric acid present. At this point, the pH will be determined by the concentration of the salt (NaC4H2N2O3) that has formed.

After the equivalence point, the pH will be determined by the excess concentration of NaOH that has been added. The pH will be calculated using the same equation as before, but with [A-] being the concentration of NaOH and [HA] being the concentration of the remaining barbituric acid

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please solve this problem. IT IS TOO URGENT ‍♂️​

please solve this problem. IT IS TOO URGENT

Answers

Answer:

1. Sulphuric acid

2. Car battery acid

3. Washing up liquid

4. Milk of magnesia

5. Metal polish

6. Oven cleaner

Explanation:

Universal paper can determine the pH of a solution. It ranges from dark red (pH 0 - very acidic) to orange/yellow, to green (pH 7 - neutral) to blue, dark blue and purple (pH 14 - very alkaline)

Sulphuric acid has the lowest pH as the universal indicator is red.

The next is car battery acid which is pink - not as acidic as red.

The next is washing up liquid, which is yellow, around pH 3 or 4.

The next is milk of magnesia with light blue, around pH 9 or 10.

Metal polish is dark blue - around pH 11.

Oven cleaner is the darkest, with purple.

Draw the Lewis structure for SO2. How
many single bonds, double bonds, triple
bonds, and unshared pairs of electrons are
on the central atom, in that order?
1. 3, 0, 0, 1
2. 2, 1, 0, 0
3. 4, 0, 0, 0
4. 1, 1, 0, 1
5. 0, 0, 1, 1
6. None of these
7. 0, 1, 1, 0
8. 2, 0, 0, 2
9. 0, 2, 0, 0
10. 1, 0, 1, 0

Answers

Answer:

It should be 9

Explanation:

That’s how I remember drawing them I took chemistry last year. Tell me if it’s good.

Draw the Lewis structure for SO2. Howmany single bonds, double bonds, triplebonds, and unshared pairs

Is the following reaction reversible and, if so, under what conditions? CN 0 ОН NaCN HCI O Yes, under basic conditions O Yes, under acidic conditions O No O Yes, using Pd/C

Answers

The given reaction involves the conversion of CN⁻ ion to HCN. This reaction is reversible, meaning that HCN can also convert back to CN⁻ under certain conditions. The conditions under which this reaction can be reversed are dependent on the nature of the reactants and products.

In this case, the reaction involves a strong base (NaCN) and a strong acid (HCl). Therefore, the reaction will proceed to completion in either acidic or basic conditions. However, if we want to reverse the reaction, we need to change the conditions in favor of the reactants.

Under basic conditions, the reaction can be reversed by adding an acid to protonate CN⁻ to form HCN. Under acidic conditions, the reaction can be reversed by adding a base to deprotonate HCN to form CN-.

Alternatively, the reaction can also be reversed using Pd/C as a catalyst. Pd/C can facilitate the conversion of HCN to CN⁻ by promoting the addition of hydrogen gas (H₂). This reaction can occur under mild conditions, making it a useful method for reversing the reaction.

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15
Which properties are characteristic of Group 2
elements at STP?
(1) good electrical conductivity and electro-
negativities less than 1.7
(2) good electrical conductivity and electro-
negativities greater than 1.7
(3) poor electrical conductivity and electro-
negativities less than 1.7
(4) poor electrical conductivity and electro-
negativities greater than 1.7

Answers

Good electrical conductivity and electronegativities less than 1.7 are the properties and characteristic of Group 2 elements at STP.

What are the properties of group 2 elements?

Group 2 elements are metals so they are good conductors of heat and electricity. It has electronegativity values less than 1.7 and very reactive. They form 2+ charge in cationic form and also formed ionic bonds with other negatively charged elements.

So we can conclude that good electrical conductivity and electronegativities less than 1.7 are the properties and characteristic of Group 2 elements at STP.

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18) Based on the following equation, how many moles of hydrochloric acid are needed
to react with 0.64 moles of potassium permanganate?
2KMnO4 + 8HCI→ 3Cl₂ + 2MnO₂ + 4H₂O + 2KCI

Answers

2.56 moles of HCl are required to react with 0.64 moles of KMnO4.

The balanced chemical equation is given as;2KMnO4 + 8HCl → 3Cl2 + 2MnO2 + 4H2O + 2KCl.This equation is balanced in such a way that 2 moles of KMnO4 reacts with 8 moles of HCl to produce 3 moles of Cl2, 2 moles of MnO2, 4 moles of H2O and 2 moles of KCl.We are given the number of moles of KMnO4 as 0.64 moles.Now, we can use stoichiometry to find the number of moles of HCl required to react with 0.64 moles of KMnO4.The balanced chemical equation shows that 8 moles of HCl reacts with 2 moles of KMnO4.

So, one mole of KMnO4 would react with 8/2 = 4 moles of HCl.Now, the number of moles of HCl required to react with 0.64 moles of KMnO4 would be;Moles of HCl = Moles of KMnO4 x (Moles of HCl / Moles of KMnO4) Moles of HCl = 0.64 x 4 = 2.56 moles of HCl.

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Acetic acid (ch3cooh) and trifluoroacetic acid (cf3cooh) are shown by these particulate models. the ka for trifluoroacetic acid is 104 times greater than acetic acid. use the models to account for the differences in magnitude for the ka constant. the green atoms are fluorine, the red atoms are oxygen, the black atoms are carbon, and the white atoms are hydrogen.

Answers

Answer:

See explanation

Explanation:

If we look at the models, we will see that the three fluorine atoms in CF3COOH are attached to the carbon that is next to the -COOH group.

As a result of the electron withdrawing effect of the three fluorine atoms, CF3COOH  is much more acidic (104 times more acidic) than CH3COOH. This is reflected in the value of the Ka for each acid.

This electron withdrawing effect of the three fluorine atoms also stabilizes CF3COO- much more than CH3COO-.

Anybody know about this chem problem, please anything helps.

Anybody know about this chem problem, please anything helps.

Answers

Answer:

B

Explanation:

the second option is right

What is your carbon footprint?

the amount of carbon dioxide you use when recycling
the amount of oxygen put into the atmosphere due to your consumption of fossil fuels
the amount of carbon dioxide and oxygen in the atmosphere at any given time
the amount of carbon dioxide put into the atmosphere due to your consumption of fossil fuels

Answers

Answer:

c. .....................

Answer: the amount of carbon dioxide put into the atmosphere due to your consumption of fossil fuels

Your carbon footprint is the amount of carbon dioxide and other carbon compounds emitted, because of your use of fossil fuels.

Hope this helps!

after about 1999, the willow tree area started to decrease again.what might account for this decrease?

Answers

After 1999, the willow tree area started to decrease again. A possible reason for this decrease could be a change in environmental factors, such as climate change, leading to less favorable conditions for the growth and reproduction of willow trees.

Droughts, floods, or temperature fluctuations may have impacted the trees' ability to thrive in their habitat. Additionally, human activity, such as deforestation, urbanization, or agricultural expansion, could have led to the loss of suitable land for willow trees to grow. Pests and diseases could have also played a role in the decline of the willow tree population.

Invasive species, which may outcompete native species for resources or introduce new pathogens, could have contributed to the reduction in willow tree numbers. Finally, changes in land management practices, such as shifting to other types of vegetation or the removal of willow trees for commercial purposes, could have contributed to the decrease in willow tree area after 1999. So therefore environmental factors, such as climate change, leading to less favorable conditions for the growth and reproduction of willow trees, possible reason after 1999, the willow tree area started to decrease again.

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The density of a gas is the mass per unit volume of the gas in the units of, for example, grams per litre. By finding the mass of one litre (assume 1.00L) of gas you can calculate the density of the gas. knowledge of the densities of the gas compared to the density of air (1.2 g/l), can save your life.
A) what is the density of carbon monoxide gas at 20C and 98 kPa in your home.

Answers

The density of carbon monoxide gas at 20°C and 98 kPa is 1.145 g/L.

The ideal gas law is PV = nRT

where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in kelvin.

To find the density of carbon monoxide gas at 20°C and 98 kPa, we can use the ideal gas law to find the number of moles of gas in 1 L of gas at these conditions and then divide the mass of 1 mole of gas by the number of moles to get the density.

First, we need to convert the temperature to kelvin:

20°C + 273.15 = 293.15 K

Rearranging the ideal gas law, we get:

n = PV/RT

We can assume that the volume is 1 L, so:

n = (98 kPa)(1 L) / [(0.0821 L·atm/mol·K)(293.15 K)] = 0.0413 mol

The molar mass of carbon monoxide is 28.01 g/mol, so the mass of 0.0413 mol is:

0.0413 mol x 28.01 g/mol = 1.152 g

Therefore, the density of carbon monoxide gas at 20°C and 98 kPa is:

1.152 g / 1 L = 1.145 g/L

What is density?

Density is a physical property of matter that relates to the amount of mass per unit of volume of a substance. It is typically expressed in units such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³).

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Find the present values of these ordinary annuitiesWhat is the present value of $4,000 per month for one year with an annual interest rate of 1.2% (APR with monthly compounding)?What is the present value of $6,000 per quarter for 6 years with an annual interest rate of 1.2% (APR with quarterly compounding)? That young lady broke the vase Sara has already washed the dishes Into passive form Sealar la importancia de las capacidades fisico-motiz que se desarrollan en el futbol de salon y dar un ejemplo para cada uno Suppose there is a pile of quarters, dimes, and pennies with a total value of $1.08A) How much of each coin can be present without being able to make change for a dollar?B) Explain why $1.19 is the greatest amount of money it is possible to have without being able to make change for a dollar. Show your work for the following problem.Michael wants a new iPhone. The total cost of the phone is $1249. He can pay $43 down with so much each month added to his bill for 24 months. How much extra will be added to each bill for the next 2 years? All of the following are considered methodologies of art, except which?a.formalismc.imageryb.Feminismd.Marxism You are performing a double slit experiment very similar to the one from DL by shining a laser on two nattow slits spaced 7.5 x 103 meters apart. However, by placing a piece of crystal in one of the slits, you are able to make it so that the rays of light that travel through the two slits are out of phase with each other (that is to say, Ao,- ). If you observe that on a screen placed 4 meters from the two slits that the distance between the bright spot clos center of the pattern is 1.5 cm, what is the wavelength of the laser? QUESTION 5The purpose a writer gives to a work is often referred to as If you have two different amounts of the same substance, why doesn't its density change? Please respond in 12 complete sentences using your best grammar. A new highway is to be constructed. Design A calls for a concrete pavement costing $85per foot with a20-yearlife;four paved ditches costing$3per foot each; and two box culverts every mile, each costing$8,000and having a20-year life. Annual maintenance will cost$1,700per mile; the culverts must be cleaned every five years at the cost of$350each per mile. Design B calls for a bituminous pavement costing$50per foot with a10-yearlife; four sodded ditches costing$1.40per foot each; and two pipe culverts every mile, each costing$2,200and having a10-year life. The replacement culverts will cost$2,400each. Annual maintenance will cost$2,700per mile; the culverts must be cleaned yearly at a cost of$215each per mile; and the annual ditch maintenance will cost$1.65per foot per ditch.Compare the two designs on the basis of equivalent worth per mile for a20-yearperiod. Find the most economical design on the basis of AW and PW if the MARR is8%per year. What is S? Please and thank you!9= S+9 If it took you 20 minutes to make a sweatshirt, how many of each type of shirt should you make to maximize your profit? A line contains the points (26, 37) and (32, 61).What is the slope of the line in simplified form? Which equation should you use to solve thisproblem? (Don't solve it, just pick the rightequation.)A car traveling at 10 m/s accelerates 2 m/suntil it's traveling at 20 m/s. How much timedid it take to reach the final velocity?A) Delta*x = 1/2 * (v_{f} + v_{i}) * tC) v_{f} ^ 2 = v_{i} ^ 2 + 2a*Delta*xB) vf = Vi + atD) Delta*x = v_{f}*t - 1/2 * a * t ^ 2 As of 2011, the following are the ages at which a country's presidents were inaugurated.52, 62, 64, 51, 46, 64, 69, 60, 59, 51, 49, 50, 59, 61, 61, 48, 51, 42,57, 46, 44, 47, 53, 63, 48, 53, 67, 52, 67, 63, 69, 53, 47, 45, 59, 48,59, 56, 50, 60, 68, 45, 63, 62Construct a grouped frequency distribution for the data. Use 41-45 for the first class and use the same width for eachsubsequent class. poor sleep can affect your job satisfaction and cause you to make less ethical judgments. group of answer choices true false The atomic weight of element A is 88.7 if the element consist of two Isotopes that have mass number 88 and 92. what is the approximate % natural abundance of the heaviest Isotope? What are anthropogenic greenhouse gas emissions? What percent of energy is transferred between the levels indicated by the blue arrows? Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + 1 2 n