Physics

Physics

Problem

(Energy per mole for an \textsuperscript{4}He nucleus) Use the data given below: • Mass of proton mp=1.007276 um_p = 1.007276\,\text{u} • Mass of neutron mn=1.008665 um_n = 1.008665\,\text{u} • Atomic mass of \textsuperscript{4}He =4.002603 u=4.002603\,\text{u} • Avogadro number NA=6.022×1023 mol−1N_A = 6.022\times10^{23}\,\text{mol}^{-1} • 1 u=931.5 MeV1\,\text{u}=931.5\,\text{MeV}; 1 eV=1.6×10−19 J1\,\text{eV}=1.6\times10^{-19}\,\text{J} a. (i) Compute the mass defect for one \textsuperscript{4}He nucleus. b. (ii) Find the binding energy of one \textsuperscript{4}He nucleus in joule. c. (iii) Hence calculate the total binding energy released (in kJ) when one mole of \textsuperscript{4}He nuclei is formed from free protons and neutrons.

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