When studying quantum mechanics, the de Broglie wavelength is a key idea. De Broglie wavelength is the wavelength () that is connected to an item in relation to its momentum and mass.
Typically, a particle's force is inversely proportional to its de Broglie wavelength.
Assuming that the smallest measurable wavelength in an experiment is 0.830 fm , what is the maximum mass of an object traveling at 171 m⋅s−1 for which the de Broglie wavelength is observable?
We know:
- The shortest wavelength that is detectable, λm = 0.330 fm
- the object's velocity, v = 157 m/s
According to the following equation, an object's de-Broglie wavelength solely depends on its momentum:
λ = h/p = h/m*v, where,
- h = 6.626 × 10^(−34) J⋅s
- p = mv is the object's momentum. It is based on the moving object's mass, m, and velocity, v.
By rearranging the above equation, the object's mass can be written as:
m = h/λv
The maximum mass and the minimum de Broglie wavelength of the item are inversely correlated because the two quantities are inversely proportional to one another. When we enter the values provided, we get:
m = {6.626×10^(−34) J⋅s} / {0.330 fm × 157 m/s}
≈ 1.28×10^(−20) kg
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In the reaction of magnesium metal with hydrochloric acid, we can determine that the magnesium metal has reacted completely when the magnesium metal is gone.
<em>In the reaction of magnesium metal with hydrochloric acid, how do you determine when the magnesium metal has reacted completely? select all that apply.</em>
- <em>All of the water has evaporated. </em>
- <em>The dilute HCl is gone. </em>
- <em>The magnesium metal is gone. </em>
- <em>Gas bubbles are no longer produced.</em>
Magnesium reacts with hydrochloric acid according to the following equation.
Mg(s) + 2 HCl(aq) ⇒ MgCl₂(aq) + H₂(g)
How can we determine when the magnesium metal has reacted completely?
All of the water has evaporated. NO. Water is not part of the reaction.
The dilute HCl is gone. NO. It indicates that HCl reacted completely.
The magnesium metal is gone. YES. If Mg is gone means it reacted completely.
Gas bubbles are no longer produced. NO. The bubbles, produced by hydrogen, may not be produced due to the insufficiency of HCl.
In the reaction of magnesium metal with hydrochloric acid, we can determine that the magnesium metal has reacted completely when the magnesium metal is gone.
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Answer: The answer might be A or B.
Explanation:
Energy is released when an electron transitions from one energy level to another. In contrast, the same amount of energy is needed to carry out the process, the other way around, from the bottom elevation to the upper one.
What occurs when an electron transitions from one energy level to another?
- The energy of the electron drops when it changes levels, and the atom releases photons. The electron emits a photon when it transitions from a greater to a lower energy level. The energy emitted is precisely the energy that is lost when an electron moves to a level with less energy.
- An atom's electrons have negative energy. The electron must be given energy in order to be removed from the hydrogen atom, as shown by the negative sign. The quantity of energy in the atom will rise by supplying the electron with energy. Similar to how a ball on Earth chooses to rest in valleys rather than hills, the electron wants to spend the majority of its time at a lower energy level.
- For a brief period of time, the electron remains in an excited state. The energy required to bring the electron to its lower-energy state will be released when the electron transitions between excited and unexcited states.
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