0
How many moles of photons with a wavelength of 660 nm are needed to provide 6 kJ of energy?
The energy carried by a photon is given by
E = hf
Where h is Planck's constant (6.626x10^-34 Joule-seconds) and f is the frequency of the photon in Hertz (Hz).
We are given the wavelength of the photon in the question in nanometers (nm). First, we need to convert this to (SI) units, because our equations only work with SI units. Then, we will calculate the frequency of the photon from its wavelength. Once we know the frequency of the photon we're interested in, we simply use the equation above to find the energy carried by one of them. Then we divide 6 kJ by that amount of energy, and the quotient will be the number of photons needed to carry 6 kJ. Finally, when we know the number of photons we need, we divide by the number of photons in a mole to get the number of moles.
The SI unit of length is the meter (m). 1nanometer (nm) is 10^-9 meters.
660 nm = 660 *10^-9 m = 6.6*10^-7 m.
Now we will calculate this photon's frequency from its wavelength. These are related by the equation
c = fL
where c is the speed of light (3*10^8 m/s), f is the frequency of the photon and L is the wavelength of the photon.
c = fL
(3*10^8 m/s) = f * (6.6*10^-7 m)
solving for f, we have
f = (3*10^8 m/s) / (6.6*10^-7 m) = 4.54*10^15 s^-1
Note that the unit of seconds (s) raised to the -1power is defined as 1 Hertz (Hz).
f = 4.54*10^15 Hz
Now we will use the top equation to solve for the energy carried by one photon having this frequency.
E = hf
E = (6.626*10^-34 Js) * (4.54*10^15 Hz)
E = 1.369*10^-17 J
This is how much energy is carried by one photon of wavelength 660 nm (which will also have a frequency of 4.54*10^15 Hz).
How many of these do we need to provide 6 kJ? This is solved by simple division. Keeping in mind that 1 kJ = 1000 J, we have
Number of photons * Energy per photon = 6 kJ
Number of photons * (1.369*10^-17 J/photon) = 6 kJ
Number of photons * (1.369*10^-17 J/photon) = 6000 J
Number of photons = 6000 J / (1.369*10^-17 J/photon)
Number of photons = 4.382*10^20 photons
This is how many photons (at this frequency) are needed to provide 6 kJ. How many moles of photons is this?
Number of photons / number of photons in a mole = number of moles
Recall that a mole of something is defined as 6.02*10^23of it. The same way a dozen eggs is defined as 12 eggs, a mole of eggs is 6.02*10^23 eggs. Equivalently, a mole of photons is 6.02*10^23 photons. So
Number of photons / (6.02*10^23 photons per mole) = number of moles
(4.382*10^20 photons) / (6.02*10^23 photons per mole) = number of moles
7.279*10^-4 moles = number of moles
Forgive me if my arithmetic is off, as I don't have a good calculator handy. However, I believe this is the correct method to use.
What else can I help you with?
What is the term for particles of light that provides the energy needed for photosynthesis?
Photons is the term for the particles of light that provide the energy needed for photosynthesis.
What is the term for the particles of the light that provides the energy needed for photosynthesis?
Photons is the term for the particles of light that provide the energy needed for photosynthesis.
Are photons packages of solar energy?
Yes, photons are packets of energy that make up electromagnetic radiation, including solar energy. Photons are massless particles that carry energy in the form of electromagnetic waves. When photons from the Sun reach Earth, they provide the energy needed for various processes like photosynthesis and heating the planet.
How many photons will be required to raise the temperature of 2.4g of water by 2.5K?
To determine the number of photons required to raise the temperature of 2.4g of water by 2.5K, you would need to know the energy of each photon, which depends on the wavelength/frequency of the light source. With this information, you can calculate the total energy needed to raise the temperature of the water by 2.5K and then convert this energy into the number of photons using the energy per photon value.
How many photons of infrared radiation having a frequency of 4.88 x 10 to the 13 Hz are required to provide an energy of 1.00 J?
To find the number of photons needed to provide 1.00 J of energy, we first calculate the energy of one photon using E=hf, where h is the Planck constant (6.626 x 10^-34 J*s). Then we divide the total energy by the energy of one photon to get the number of photons. Thus, 1.00 J / (4.88 x 10^13 Hz) will give you the number of photons required.
What is the term for the particles of light that provide the energy needed for photosynthesis?
Photon
What is the term for the particles light that provide the energy needed for photosynthesis?
Photons is the term for the particles of light that provide the energy needed for photosynthesis.
What is the term for the particles of light that provide the energy need it?
The particles of light that provide the energy needed are called photons. Photons are the basic unit of light and carry electromagnetic radiation.
What is the term for the particle light that provides the energy needed for photosynthesis?
Photons is the term for the particles of light that provide the energy needed for photosynthesis.
What is the term for particles of light that provides the energy needed for photosynthesis?
Photons is the term for the particles of light that provide the energy needed for photosynthesis.
What is the term for the particles of the light that provides the energy needed for photosynthesis?
Photons is the term for the particles of light that provide the energy needed for photosynthesis.
Are photons packages of solar energy?
Yes, photons are packets of energy that make up electromagnetic radiation, including solar energy. Photons are massless particles that carry energy in the form of electromagnetic waves. When photons from the Sun reach Earth, they provide the energy needed for various processes like photosynthesis and heating the planet.
How many photons will be required to raise the temperature of 2.4g of water by 2.5K?
To determine the number of photons required to raise the temperature of 2.4g of water by 2.5K, you would need to know the energy of each photon, which depends on the wavelength/frequency of the light source. With this information, you can calculate the total energy needed to raise the temperature of the water by 2.5K and then convert this energy into the number of photons using the energy per photon value.
How many photons are absorbed during light reaction?
During the light reactions of photosynthesis, hundreds to thousands of photons may be absorbed by a single chlorophyll molecule in the reaction center of a photosystem. These photons provide the energy needed to drive the electron transport chain and convert light energy into chemical energy in the form of ATP and NADPH.
How many photons of infrared radiation having a frequency of 4.88 x 10 to the 13 Hz are required to provide an energy of 1.00 J?
To find the number of photons needed to provide 1.00 J of energy, we first calculate the energy of one photon using E=hf, where h is the Planck constant (6.626 x 10^-34 J*s). Then we divide the total energy by the energy of one photon to get the number of photons. Thus, 1.00 J / (4.88 x 10^13 Hz) will give you the number of photons required.
What is the relationship between the work function, wavelength, and energy of a photon in the work function equation?
In the work function equation, the work function is the minimum energy needed to remove an electron from a material. The relationship between the work function, wavelength, and energy of a photon is that the energy of a photon is directly proportional to its frequency, which is inversely proportional to its wavelength. This means that a photon with higher energy (shorter wavelength) can provide enough energy to overcome the work function and eject an electron from the material.
What kind of energy does photosynthesis need?
Photosynthesis requires light energy in the form of photons. These photons are absorbed by chlorophyll in the chloroplasts of plant cells, providing the energy needed to convert carbon dioxide and water into glucose and oxygen.
