The Neutral ${ } _ { 13 } ^ { 27 } \mathrm { Al }$

Multiple Choice

The neutral ${ } _ { 13 } ^ { 27 } \mathrm { Al }$ atom has a mass of $26.981539$ u; a neutral hydrogen atom has a mass of $1.007825$ u; a neutron has a mass of $1.008665 \mathrm { u }$ ; and a proton has a mass of $1.007277 \mathrm { u }$ . What is the binding energy per nucleon for ${ } _ { 13 } ^ { 27 } \mathrm { Al }$ ? $\left( 1 \mathrm { u } = 931.5 \mathrm { MeV } / c ^ { 2 } \right)$

A) $8.3 \mathrm { MeV }$
B) $5.4 \mathrm { MeV }$
C) $3.4 \mathrm { MeV }$
D) $2.8 \mathrm { MeV }$
E) $6.7 \mathrm { MeV }$