Iron-56, ⁵⁶₂₆Fe, has a binding energy per nucleon of 8.79 MeV. (1 MeV = 1.60 × 10⁻¹³ J). Determine the amount of energy needed to 'decompose' 1 mol of iron-56 nuclei into the individual nucleons.

A positron and an electron annihilate each other upon colliding, thereby producing energy in the form of two gamma rays. Assuming that both gamma rays have the same energy (since both particles have the same mass), calculate the wavelength of the electromagnetic radiation used in pm. (1 pm = 10⁻¹² m; mass of electron (amu) = 0.000549)   Americium-241 is widely used in smoke detectors. Calculate the amount of americium-241 consumed in a smoke detector (initially containing 5.00 µg of Am), in micrograms, that has been used for one year if the half-life is 433 years.

Ruthenium-106 (106Ru) is used to treat melanoma in the eye. This isotope decays by β– emission with a half-life of 373.59 days. One source of the isotope is reprocessed nuclear reactor fuel. How many protons and neutrons does the 106Ru nucleus contain? Identify the missing daughter nucleus in the β– emission decay of 106Ru below. How many years after 106Ru is implanted in the eye does it take for its decay rate (or activity) to be reduced to 27.5% of the initial decay rate? Use 1 year = 365 days.

Molality and mole fraction problem