A radio station broadcasts at 98.6 MHz (9.86x107 s-1). What is the wavelength of these radiowaves in meter? Use the speed of light as c=299792458 m/s exactly

Answers

Answer 1

The wavelength of the of radio waves, given that the radio station broadcast at a frequency of 98.6 MHz (9.86×10⁷ s⁻¹) is 3.04 m

How do i determine the wavelength of the radio waves?

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

Frequency of radio waves (f) = 98.6 MHz = 9.86×10⁷ s⁻¹ Speed of light = 299792458 m/sSpeed of radio waves (v) = Speed of light = 299792458 m/s Wavelength of radio waves (λ) = ?

The wavelength of the of radio waves can be obtained as illustrated below:

Velocity (v) = wavelength (λ) × frequency (f)

299792458 = wavelength × 9.86×10⁷

Divide both sides by 9.86×10⁷

Wavelength = 299792458 / 9.86×10⁷

= 3.04 m

Therefore, we can conclude that the wavelength of the of radio waves is 3.04 m

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Related Questions

yield of chemical reactions
Gaseous ethane (CH,CH,) reacts with gaseous oxygen gas (0₂) to produce gaseous carbon dioxide (CO₂) and gaseous water (H₂O). What is the theoretical
yield of water formed from the reaction of 3.01 g of ethane and 19.3 g of oxygen gas?
Round your answer to 3 significant figures.

Answers

Answer:

The balanced chemical equation for the reaction is:

2 C2H6 + 7 O2 → 4 CO2 + 6 H2O

From the equation, 2 moles of ethane react with 7 moles of oxygen gas to produce 6 moles of water.

First, we need to determine which reactant is limiting. To do this, we can use the given masses and convert them to moles using the molar masses of the compounds:

n(C2H6) = 3.01 g / 30.07 g/mol = 0.100 mol

n(O2) = 19.3 g / 32.00 g/mol = 0.603 mol

The mole ratio of C2H6 : O2 is 2 : 7, so to react completely with 0.100 mol of C2H6, we need:

n(O2) = (7/2) x 0.100 mol = 0.350 mol

Since we have more than 0.350 mol of O2, O2 is not the limiting reactant. Therefore, the limiting reactant is C2H6.

The theoretical yield of H2O can be calculated from the number of moles of C2H6:

n(H2O) = (6/2) x 0.100 mol = 0.300 mol

Finally, we can convert the number of moles of H2O to grams:

m(H2O) = n(H2O) x M(H2O)

m(H2O) = 0.300 mol x 18.02 g/mol

m(H2O) = 5.41 g

Therefore, the theoretical yield of H2O formed is 5.41 g. Rounded to three significant figures, the answer is 5.41 g.

Explanation:

Calculate the ratio of the moles of produced to the moles of each of the reactants used. (Write two separate ratios.)

Answers

Ratio of moles of NH₃ produced to moles of N₂ used: 2 moles of NH₃ / 1 mole of N₂

Ratio of moles of NH₃ produced to moles of H₂ used: 2 moles of NH₃ / 3 moles of H₂

What is the mole ratio of the reaction?

From the balanced chemical equation:

N₂ + 3 H₂ ⟶ 2 NH₃

We can determine the ratio of moles of products to the moles of each reactant.

Ratio of moles of NH₃ produced to moles of N₂ used:

From the balanced equation, we can see that 1 mole of N₂ reacts to produce 2 moles of NH₃. Therefore, the ratio is:

2 moles of NH₃ / 1 mole of N₂

Ratio of moles of NH₃ produced to moles of H₂ used:

From the balanced equation, we can see that 3 moles of H₂ react to produce 2 moles of NH₃. Therefore, the ratio is:

2 moles of NH₃ / 3 moles of H₂

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Given the equation of reaction;

N₂ + 3 H₂ ---> 2 NH₃

Calculate the ratio of the moles of produced to the moles of each of the reactants used. (Write two separate ratios.)

how much energy is required to vaporize 2 kg of copper

Answers

It would require approximately 600 kilojoules of energy to vaporize 2 kg of copper.

To calculate the energy required to vaporize a substance, we need to consider the heat of vaporization, which is the amount of energy required to convert a given amount of substance from its liquid state to its gaseous state at a constant temperature.

The heat of vaporization for copper is approximately 300 kJ/kg (kilojoules per kilogram) at its boiling point, which is around 2567 degrees Celsius (4649 degrees Fahrenheit). This means that for every kilogram of copper, 300 kJ of energy is needed to vaporize it.

Given that you have 2 kg of copper, we can calculate the total energy required as follows:

Energy = Heat of Vaporization × Mass

Energy = 300 kJ/kg × 2 kg

Energy = 600 kJ

Therefore, it would require approximately 600 kilojoules of energy to vaporize 2 kg of copper.

It's worth noting that the heat of vaporization can vary slightly depending on the purity of the copper and the specific conditions, such as temperature and pressure. The value provided here is an approximation. Additionally, it's important to handle copper and any high-temperature processes with caution, as they can pose safety hazards.

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Which structure is the Lewis structure for ammonia (NH3)?

A.
A bond line structure of a compound has N H H H. The nitrogen has two dots at its bottom represents a lone pair of electrons.
B.
A bond line structure of a compound has H N H in the linear plane and hydrogen is branching upward, and the compound is H N (H) H.
C.
A bond line structure of a compound has H N H in linear plane and a hydrogen is branching upward, and the compound is H N (H) H. The nitrogen has two dots at its bottom represents a lone pair of electrons.
D.
A bond line structure of a compound has H N H H. The nitrogen has two dots on its top represents a lone pair of electrons.

Answers

Answer:  **

H-N-H

   |

  H

Explanation:

Look at a periodic table to determine how many electrons you need to account for. Hydrogen (H) only has 1 electron, while Nitrogen (N) has 5. We have three Hydrogen atoms and one Nitrogen atom, so the total number of electrons will be 3 * 1 + 5 = 8 e-.

Now, place the center atom, which will be Nitrogen and place the three Hydrogens on three sides of it as above in the answer. You should use single bonds for this. Each single bond is a pair of electrons, so since we have three single bonds so far, we have accounted for 2 * 3 = 6 electrons. However, we need 2 more electrons for the total of 8. We put these electrons in as a lone pair above Nitrogen.

We check to see if everything follows the octet rule: Nitrogen has three single bonds, so that's 6 e-, as well as one lone pair, so that's another 2 e- for a total of 8 e-. Check. Now look at Hydrogen: H is the only element whose full orbital is 2 e-. Each H has a single bond with Nitrogen, so each does have 2 e-.

Thus, we know this is the correct diagram, and we are done.

Explanation:

A bond line structure of a compound has H N H in linear plane and a hydrogen is branching upward, and the compound is H N (H) H. The nitrogen has two dots at its bottom represents a lone pair of electrons. So ,the correct answer is option C.

The correct Lewis structure for ammonia ([tex]NH_3[/tex]) is option C. It shows a bond line structure with three hydrogen atoms (H) bonded to a central nitrogen atom (N) in a linear plane.

One hydrogen atom branches upward from the plane. Additionally, the nitrogen atom in this structure has two dots at its bottom, indicating a lone pair of electrons. This arrangement follows the octet rule, as nitrogen has formed three covalent bonds with hydrogen, completing its valence shell. The lone pair on nitrogen gives ammonia its characteristic properties.

Thus, option C accurately represents the Lewis structure of ammonia, showing the bonding and lone pair arrangement of its atoms.

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A potassium ion can combine with several monatomic and polyatomic ions to form compounds.

An example of a potassium compound containing both ionic and covalent bonds is , and an example containing only ionic bonds is .

Answers

An example of a potassium compound containing both ionic and covalent bonds is potassium chloride and an example containing only ionic bonds is potassium sulfite.

A potassium ion (K+) can combine with various monatomic and polyatomic ions to create compounds through different types of chemical bonds. In the context of potassium compounds, both ionic and covalent bonds can be observed.

An example of a potassium compound that exhibits both ionic and covalent bonds is potassium chloride (KCl). In this compound, potassium donates its valence electron to chlorine, forming an ionic bond between the positively charged potassium ion and the negatively charged chloride ion. However, there is also some degree of covalent character present in the compound, as the electron is not fully transferred from potassium to chlorine. This partial sharing of electrons results in a degree of covalent bonding.

On the other hand, an example of a potassium compound containing only ionic bonds is potassium sulfate (K2SO4). In this compound, two potassium ions (K+) combine with one sulfate ion (SO4^2-) through ionic bonds. The transfer of electrons is complete, resulting in a strong electrostatic attraction between the oppositely charged ions, forming an entirely ionic compound.

In summary, potassium chloride exemplifies a potassium compound containing both ionic and covalent bonds, whereas potassium sulfate represents a potassium compound consisting solely of ionic bonds.

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Select the correct answer from each drop-down menu.

A potassium ion can combine with several monatomic and polyatomic ions to form compounds.

An example of a potassium compound containing both ionic and covalent bonds is ___(potassium chloride, potassium hydride, potassium nitrate, potassium oxide), and an example containing only ionic bonds is _____(potassium chloride, potassium hypochlorite, potassium sulfate, potassium sulfite).

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