What is the binding energy (kJ/mol)for an element that has a mass defect of 3.33 × 10^-26 g? Remember that the unit for a joule is kg m^-2 s^-2. A)6.02 × 10³ kJ/mole B)6.02 × 10¹² kJ/mole C)1.80 × 10⁹ kJ/mole D)5.41 × 10¹⁴ kJ/mole

Question

Quizplus · Accepted Answer

The binding energy (E) can be calculated using the equation E = Δm c^2, where Δm is the mass defect and c is the speed of light (3.00 × 10^8 m/s). First, convert the mass defect from grams to kilograms (1 kg = 10^3 g), which gives 3.33 × 10^-29 kg. Then, calculate the energy in joules: E = (3.33 × 10^-29 kg)(3.00 × 10^8 m/s)^2 = 2.997 × 10^-13 J. To convert joules to kilojoules per mole, use Avogadro's number (6.022 × 10^23 mol^-1): (2.997 × 10^-13 J)(6.022 × 10^23 mol^-1) = 1.80 × 10^11 J/mol = 1.80 × 10^8 kJ/mol.

What Is the Binding Energy (KJ/mol)for an Element That Has