[latex]Dane:\ m_p=1,0072764 u\ m_n= 1,0086649u\ c = 3*10^8 frac{m}{s}.\ m_C=26,9901u\ A=27\ Z=13\ Oblicz:\ E=?\ Rozwiazanie\ Delta m=m_p+m_n-m_C\\ Delta_m= 13*1,0072764+(27-13)*1,0086649-26,9901\\ Delta_m=13,0942032+14,1213086-26,9901\\ Delta_m=0,2258018u\\ 1 u = 1,66*10^{-27} kg\\ Delta m=0,2258018*1,66*10^{-27}\\ Delta m=3,75*10^{-28}kg\\ E= Delta m*c^2\\ E= 3,75*10^{-28}*(3*10^8)^2\\ E=3,37*10^{-11} J[/latex]
27 Al 13 A = 27 - l. masowa Z = 13 - l. protonów N = A-Z = 27-13 = 14 - l. neutronów m.protonu = 1,6725 *10⁻²⁷ kg m. neutronu = 1,6748 *10⁻²⁷ kg m. jądra = 26,98 u 1 u = 1,66 *10⁻²⁷ kg m. jądra = 26,98 * 1,66 *10⁻²⁷ kg = 44,7868 *10⁻²⁷ kg c = 3 *10⁸ m/s Δm = Z*m.p + (A-Z)m.n - m.jądra Δm = 13*1,6725 *10⁻²⁷kg + 14*1,6748 *10⁻²⁷kg - 44,7868 *10⁻²⁷kg Δm = 21,7425*10⁻²⁷kg + 23,4472*10⁻²⁷kg - 44,7868*10⁻²⁷kg Δm = 0,4029 *10⁻²⁷ kg E = Δmc² E = 0,4029*10⁻²⁷kg *(3*10⁸m/s)² = 3,6261 *10⁻¹¹ J E = 3,6261 *10⁻¹¹ J --------------------------