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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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An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second. The pyramid, at the top, h
vaieri [72.5K]

Answer:

13.20 cm/s is the rate at which the water level is rising when the water level is 4 cm.

Explanation:

Length of the base = l

Width of the base  =  w

Height of the pyramid = h

Volume of the pyramid = V=\frac{1}{3}lwh

We have:

Rate at which water is filled in cube = \frac{dV}{dt}= 45 cm^3/s

Square based pyramid:

l = 6 cm, w = 6 cm, h = 13 cm

Volume of the square based pyramid = V

V=\frac{1}{3}\times l^2\times h

\frac{l}{h}=\frac{6}{13}

l=\frac{6h}{13}

V=\frac{1}{3}\times (\frac{6h}{13})^2\times h

V=\frac{12}{169}h^3

Differentiating V with respect to dt:

\frac{dV}{dt}=\frac{d(\frac{12}{169}h^3)}{dt}

\frac{dV}{dt}=3\times \frac{12}{169}h^2\times \frac{dh}{dt}

45 cm^3/s=3\times \frac{12}{169}h^2\times \frac{dh}{dt}

\frac{dh}{dt}=\frac{45 cm^3/s\times 169}{3\times 12\times h^2}

Putting, h = 4 cm

\frac{dh}{dt}=\frac{45 cm^3/s\times 169}{3\times 12\times (4 cm)^2}

=13.20 cm/s

13.20 cm/s is the rate at which the water level is rising when the water level is 4 cm.

3 0
3 years ago
The forensic technician at a crime scene has just prepared a luminol stock solution by adding 13.0 g of luminol into a total vol
Andrews [41]

Answer:

0.978 M

Explanation:

Given data

  • Mass of luminol (solute): 13.0 g
  • Volume of the solution = volume of water: 75.0 mL = 0.0750 L

We can find the molarity of the stock solution of luminol using the following expression.

M = mass of solute / molar mass of solute × liters of solution

M = 13.0 g / 177.16 g/mol × 0.0750 L

M = 0.978 M

3 0
2 years ago
What is the pOH value of 0.0000877 M HCL
ki77a [65]

Answer:

pOH=9.9

Explanation:

pH=-log[H+]= -log[0.0000877]

=4.06

pOH+ pH=14

pOH=14-4.06= 9.91

7 0
3 years ago
What do all codes such as morse and brallie have in common
astra-53 [7]

Answer: Morse code and Braille use representations to form messages.

Explanation:

- they both have military roots.

-also a similarity is that braille letters are made of 1 to 6 dots, and Morse code is also made of 1 to 6 dots and dashes

-

4 0
3 years ago
If the E°cell value = +0.46V and E°(Ag+/Ag) = +0.80V
fenix001 [56]

Answer:

0.34

Explanation:

Cu>>>Cu2+(oxidation number increases)[Oxidation occurs]

Ag+>>>Ag(Oxidation number decreases) [Reduction occurs]

E°=0.80-0.46

=0.34V

8 0
1 year ago
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