In fusion reactions to make superheavy elements,energy is required to bring the two nuclei together and to form additional mass.How much energy must be converted into mass for the alpha bombardment of ²⁵³Es to form ²⁵⁷Md? (The isotopic masses are ²⁵³Es = 253.08294 amu,⁴He = 4.00260 amu,²⁵⁷Md = 257.09558 amu. ) A)3.01 × 10⁶ kJ/mol B)9.04 × 10⁸ kJ/mol C)3.59 × 10¹¹ kJ/mol D)7.21 × 10¹¹ kJ/mol

Question

Quizplus · Accepted Answer

The mass difference between the two nuclei is:

(257.09558 amu) - (253.08294 amu + 4.00260 amu) = 0.01004 amu

Using Einstein's famous equation, E=mc², we can calculate the energy required to form this mass:

E = (0.01004 amu) x (1.66054 x 10⁻²⁷ kg/amu) x (2.99792 x 10⁸ m/s)² = 9.04 x 10¹⁸ J/mol

Converting to kilojoules per mole, we get:

E = 9.04 x 10¹⁸ J/mol / (1000 J/kJ) = 9.04 x 10¹⁵ kJ/mol

Therefore, the answer is B) 9.04 x 10¹⁸ kJ/mol.

In Fusion Reactions to Make Superheavy Elements,energy Is Required to Bring