Question

Calculate the energy in kj/mol of light with a wavelength of 360 nm

Answer 1

The energy of light with a wavelength of 360 nm is 5.53 x 10^-19 J or 33.3 kJ/mol.

Step-by-step explanation:

The energy of a photon can be calculated using the formula E = hc/lambda, where E is the energy, h is Planck's constant (6.63 x 10^-34 J·s), c is the speed of light (3.00 x 10^8 m/s), and lambda is the wavelength of the light in meters. To calculate the energy in kJ/mol, we need to convert the energy from joules to kilojoules and multiply it by the Avogadro's number (6.022 x 10^23 mol^-1).

Given that the wavelength of light is 360 nm, we can convert it to meters by multiplying by 10^-9, which gives 3.6 x 10^-7 m. Substituting these values into the formula, we get:

E = (6.63 x 10^-34 J·s) * (3.00 x 10^8 m/s) / (3.6 x 10^-7 m) = 5.53 x 10^-19 J

To convert this to kJ/mol, we multiply by Avogadro's number:

E = (5.53 x 10^-19 J) * (6.022 x 10^23 mol^-1) = 33.3 kJ/mol

Answer 2

To calculate the energy in kj/mol of light with a wavelength of 360 nm, use the formula E = hc/ λ, convert the wavelength to meters, and find the energy per photon. Then, multiply by Avogadro's number to get the energy per mole, and convert to kJ/mol. The final result is 332 kJ/mol.

Step-by-step explanation:

To calculate the energy of light with a wavelength of 360 nm in kj/mol, we can use the formula:

E = hc / λ

Where:

• E is the energy of the photon
• h is Planck's constant (6.626 x 10^-34 J·s)
• c is the speed of light (3.00 x 10^8 m/s)
• λ is the wavelength of the photon (converted to meters)

First, convert the wavelength from nm to m:

360 nm = 360 x 10^-9 m

Then, substitute the values into the formula:

E = (6.626 x 10^-34 J·s)(3.00 x 10^8 m/s) / (360 x 10^-9 m)

E = 5.52 x 10^-19 J per photon

To find the energy per mole of photons, multiply by Avogadro's number (6.022 x 10^23 mol-1):

E (per mole) = (5.52 x 10^-19 J)(6.022 x 10^23 mol-1)

E (per mole) = 3.32 x 10^5 J/mol

Since 1 kJ = 1000 J, convert the energy to kJ/mol:

E (per mole) = 332 kJ/mol