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Free_Kalibri [48]
2 years ago
12

What is meant by the ground state of an atom? What is meant by the ground state of an atom? All of the quantum numbers have thei

r lowest values (n = 1,ℓ = mℓ = 0). The electrons are in the lowest state allowed by the uncertainty principle. All of the electrons are in the lowest energy state, consistent with the exclusion principle. The principal quantum number of the electrons in the outer shell is 1.
Chemistry
1 answer:
ANTONII [103]2 years ago
5 0

Answer: Option (a) is the correct answer.

Explanation:

We know that ground state means in total electrons acquired by the element are present in their lowest energy level.

We calculate the azimutal numbers as follows.

                      n = l + 1

where,     n = principle quantum number  

                l = azimuthal quantum number

Values of n can be 1, 2, 3, 4 and so on. Whereas the values of l can be 0, 1, 2, 3, and so on.

Also, "m" is known as magnetic quantum number whose values can be equal to -l and +l.  

So, when n = 1 then l = 0 and m = 0.

When n = 2 then l = 1 and values of m will be equal to -1, 0, +1. As it is given that the magnetic quantum number ml = -1. Hence, it is only possible when n = 2.

And, n = 1 is the lowest energy level. Therefore, we can conclude that the ground state of an atom means all of the quantum numbers have their lowest values (n = 1,ℓ = mℓ = 0).

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What is the sum of kinetic energy and potential energy?
Lorico [155]

Answer:

Potential energy is stored energy. An object has a measurable amount of potential energy depending on where it’s located and how it relates to other objects around it — the energy of position.[1]  

An apple on the floor has very little potential energy. Lift it to the top of a skyscraper, and suddenly it has a lot of potential energy. It can fall to the ground under the force of gravity. It can also interact with other objects on its descent, such as striking a flying bird or landing on a car roof and damaging it.  

When the apple is descending, its potential energy has become kinetic energy, which is the energy of motion. Kinetic energy is the energy a person or an object has due to its motion — in this example, the falling apple. A parked bike on top of a hill has potential energy, which becomes kinetic energy once you start riding it downhill.  

Both of these energies are measured in joules. Energy is never destroyed or lost when changing from potential energy to kinetic energy — it is merely transformed from one energy type to another. This is known as the law of conservation of energy.[2]  

The potential energy of an object cannot be transferred to another entity – you cannot suck the potential energy out of the apple atop a skyscraper. Kinetic energy is transferable, as witnessed with the falling apple’s kinetic energy damaging a car or hitting a bird.  

What Is the Relationship Between Potential and Kinetic Energy?  

Relationship Potential and Kinetic Energy explained | Waterfall energy image

The relationship between potential energy and kinetic energy is that potential energy can transform into kinetic energy.  

Potential energy is position relative. In other words, it changes depending on an object’s height or distance and the mass of the object. Kinetic energy changes depending on an object’s speed and its mass.  

If we think about a waterfall, some still water at the top of the waterfall has potential energy. It isn’t moving and hasn’t gone over the edge. The water flowing from the waterfall has kinetic energy as it flows.[3]  

A pendulum is an excellent example of this relationship. As the pendulum swings ever higher upwards, its potential energy increases until it reaches its optimum at the highest point of the swing. At the top of the arc, the potential energy turns into kinetic energy as it swings back down.[4]  

What Are Examples of Potential Energy?  

There are two primary types of potential energy: gravitational potential energy and elastic potential energy.  

The gravitational force of the Earth causes gravitational potential energy. When a person jumps from a high dive board, they land with much force (and a splash) into the swimming pool below.  

The Earth’s gravity uses the diver’s gravitational force (their weight) to produce the kinetic energy (movement) that brings the diver into the pool. At the top of the diving board, we can talk about the diver’s gravitational potential energy.  

This is the same for apples on trees, bikes on top of a hill, a roller coaster waiting to descend, and a skydiver in a plane — all examples of the potential to do an amount of work.[5]  

Elastic potential energy occurs when you stretch or compress something. A rubber band left on a sideboard has little potential energy. If you pick it up and stretch it, you have increased its potential to do some work.  

If you release the rubber band, it may fly across the room or scare the cat. You manipulated the rubber band to increase its potential energy, which was then released as kinetic energy as it traveled (motion) across the room. An archer pulling back a bow and coiling a spring are further examples of potential energy.[6]  

6 0
2 years ago
A nitric acid solution flows at a constant rate of 5L/min into a large tank that initially held 200L of a 0.5% nitric acid solut
leonid [27]

Answer:

x(t) = −39e

−0.03t + 40.

Explanation:

Let V (t) be the volume of solution (water and

nitric acid) measured in liters after t minutes. Let x(t) be the volume of nitric acid

measured in liters after t minutes, and let c(t) be the concentration (by volume) of

nitric acid in solution after t minutes.

The volume of solution V (t) doesn’t change over time since the inflow and outflow

of solution is equal. Thus V = 200 L. The concentration of nitric acid c(t) is

c(t) = x(t)

V (t)

=

x(t)

200

.

We model this problem as

dx

dt = I(t) − O(t),

where I(t) is the input rate of nitric acid and O(t) is the output rate of nitric acid,

both measured in liters of nitric acid per minute. The input rate is

I(t) = 6 Lsol.

1 min

·

20 Lnit.

100 Lsol.

=

120 Lnit.

100 min

= 1.2 Lnit./min.

The output rate is

O(t) = (6 Lsol./min)c(t) = 6 Lsol.

1 min

·

x(t) Lnit.

200 Lsol.

=

3x(t) Lnit.

100 min

= 0.03 x(t) Lnit./min.

The equation is then

dx

dt = 1.2 − 0.03x,

or

dx

dt + 0.03x = 1.2, (1)

which is a linear equation. The initial condition condition is found in the following

way:

c(0) = 0.5% = 5 Lnit.

1000 Lsol.

=

x(0) Lnit.

200 Lsol.

.

Thus x(0) = 1.

In Eq. (1) we let P(t) = 0.03 and Q(t) = 1.2. The integrating factor for Eq. (1) is

µ(t) = exp Z

P(t) dt

= exp

0.03 Z

dt

= e

0.03t

.

The solution is

x(t) = 1

µ(t)

Z

µ(t)Q(t) dt + C

= Ce−0.03t + 1.2e

−0.03t

Z

e

0.03t

dt

= Ce−0.03t +

1.2

0.03

e

−0.03t

e

0.03t

= Ce−0.03t +

1.2

0.03

= Ce−0.03t + 40.

The constant is found using x(t) = 1:

x(0) = Ce−0.03(0) + 40 = C + 40 = 1.

Thus C = −39, and the solution is

x(t) = −39e

−0.03t + 40.

3 0
2 years ago
A cylinder with 10 mL of coconut oil has a mass of 9.3 g. What is the density of the oil? Round to the nearest hundredth. ​
lakkis [162]

Answer:

0.93 grams per milliliter

Explanation:

Density is the division of mass by volume. It is how "hefty" an object is; for example, wood isn't very "hefty" but metal is. The density is measured in mass over volume, so it is 9.3/10. After applying units, it is 0.93 grams per milliliter.

6 0
3 years ago
Write a balanced equation for rusting. (Assume rust becomes Fe+2)
Stells [14]

Answer:

4Fe + 3O2 + 6H2O → 4Fe(OH)3

Explanation:

The chemical formula for rust is Fe2O3 and is commonly known as ferric oxide or iron oxide. The final product is a series of chemical reactions simplified below as- The rusting of the iron formula is simply 4Fe + 3O2 + 6H2O → 4Fe(OH)3. The rusting process requires both the elements of oxygen and water.

8 0
2 years ago
Science Question 1: Please Answer!
charle [14.2K]
Ok but you have to give me a cookie
7 0
2 years ago
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