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Mila [183]
2 years ago
7

Classically, if you put a particle in a box, it can have Zero kinetic energy (ie the particle is not moving). But a quantum part

icle always has some kinetic energy. The difference between the lowest value of the potential energy and the energy of the lowest energy eigenstate is called the Zero Point Energy. Consider a 1D box that is one nanometer in length. What is the zero point energy for an electron, a proton, a methane molecule, and a gold atom in Joules
Chemistry
1 answer:
OLga [1]2 years ago
7 0

Answer:

Electron = 6.030 × 10^-21 J.

Proton = 3.37 × 10^-23J.

Methane = 2.06 × 10^-24J.

Gold = 1.67 × 10^-25J.

Explanation:

Without mincing words let's dive straight into the solution to the question above.

One an energy formula will be used in solving this question. This formula is given below;

Energy, E = (n^2 × h^2)/8 × m× L^2.

Where m = mass, n = number of energy level, h = planck's constant and L = length.

Therefore, for electron;

Energy, E = (6.626 × 10^−34)^2/ ( 8 × 9.1 × 10^-31 × [1 x 10^-9m]^2 =6.030× 10^-21J.

For proton;

Energy, E = (6.626 × 10^−34 )^2 / (8

× 1.626 × 10^-27 × [1 × 10^-9]^2) = 3.37 × 10^-23J.

For methane;

Energy, E = (6.626 × 10^-34) ^2/ ( 8 × 2.66 × 10^-26 × [1 × 10^-9]^2 = 2.06 × 10^-24J.

For Gold;

Energy, E =( 6.626 × 10^−34)^2 / ( 8 × 3.27 × 10^-25 × [ 1 × 10^-9]^2) = 1.67 × 10^-25J.

NB: n = 1 = Zero Point Energy.

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Given: 12 - x = 20 - 5x<br><br> To Prove: x = 2
Rina8888 [55]

Answer:

12 - x = 20 - 5x

Add 5x on both sides,

12 - x + 5x = 20 - 5x

12 + 4x = 20

Subtract 12 on both sides,

12 - 12 + 4x = 20 - 12

4x = 8

Divide 4 on both sides,

4x / 4 = 8 / 4

x = 2

Hence proved.

4 0
3 years ago
Name the alkanes shown
erica [24]

Answer:

2,2-heptane

Explanation:

more explanation is in the answer above

7 0
2 years ago
The nucleus of an atom contains what subtomatic particle
Luden [163]
There the protons and the nuetrons
6 0
4 years ago
What determines the amount of chemical energy a substance has?
Ratling [72]


Chemical energy  is the kind of energy stored in the bonds formed by atoms and molecules in chemical compounds and elements.  This energy is  released during a chemical  reaction and  heat is often given out in the process. These kind of reactions where heat is given out as a by product are called exothermic reactions.

The major factor that determines how much chemical energy a substance has is the mass of that substance. Mass is defined as the amount of matter in a substance.

The higher  the mass of a substance, the more concentrated that substance is and subsequently the greater the number of atoms and molecules.

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6 0
3 years ago
A 1.50-kilogram ball is attached to the end of a 0.520-meter string and swung in a circle. The velocity of the ball is 9.78 m/s.
Sedaia [141]

Answer:

F centripetal force (tension) = 275.9  N

Explanation:

Given data:

Mass = 1.50 kg

Radius = 0.520 m

Velocity of ball = 9.78 m/s

Tension = ?

Solution:

F centripetal force (tension) =  m.v² / R

F centripetal force (tension) = 1.50 kg . (9.78 m/s)² / 0.520 m

F centripetal force (tension) = 1.50 kg . 95.65 m²/s² / 0.520 m

F centripetal force (tension) = 143.5 kg. m²/s² / 0.520 m

F centripetal force (tension) = 275.9  N

7 0
3 years ago
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