The average chemical bond energy in DNA molecules is about 300.00Kj per 6.02E23 bonds, estimate the number of chemical bonds that can be ruptured by a 1E-9m x-ray photon.
To estimate the number of chemical bonds that can be ruptured by a 1E-9m x-ray photon, we need to calculate the energy per photon and then divide the total energy available by the average bond energy.
First, we should convert the given average bond energy from kilojoules (Kj) to joules (J). Since 1 Kj = 1000 J, the average bond energy is 300 * 1000 J.
Next, let's calculate the energy per photon. The energy of a photon can be determined using the equation E = hc/λ, where E is the energy, h is the Planck's constant (6.62607015 × 10^-34 J·s), c is the speed of light (299,792,458 m/s), and λ is the wavelength.
Given the wavelength of an x-ray photon is 1E-9m, we can substitute these values into the equation to find the energy per photon (E).
E = (6.62607015 × 10^-34 J·s * 299,792,458 m/s) / (1E-9 m)
Now we can calculate the total number of photons using the equation:
Number of photons = Total energy available / Energy per photon
Number of photons = (Total energy available) / ((6.62607015 × 10^-34 J·s * 299,792,458 m/s) / (1E-9 m))
Finally, to estimate the number of chemical bonds that can be ruptured, we need to multiply the number of photons by Avogadro's number (6.02E23 bonds).
Estimated number of chemical bonds ruptured = (Number of photons) * (6.02E23 bonds)
By following these calculations, you can estimate the number of chemical bonds that can be ruptured by a 1E-9m x-ray photon.