A neutron is absorbed by a 36 L i nucleus with the subsequent emission of an alpha particle. 36 mathrmLi+ 01 n arrow 24 mathrmHe+ 13 mathrmH+Q Calculate the energy released, in MeV , in this reaction. [Given: mass 36 textitLi=6.015126 u; mass (neutron) =1.0086654 u; Mass (alpha particle) =4.0026044 u and Mass (tritium) =3.0100000 u. [ Take 1 u=931 MeV c- 2 ]

Question

A neutron is absorbed by a 36 L i nucleus with the subsequent emission of an alpha particle. 36 mathrmLi+ 01 n arrow 24 mathrmHe+ 13 mathrmH+Q Calculate the energy released, in MeV , in this reaction. [Given: mass 36 textitLi=6.015126 u; mass (neutron) =1.0086654 u; Mass (alpha particle) =4.0026044 u and Mass (tritium) =3.0100000 u. [ Take 1 u=931 MeV c- 2 ] (A) 10.92MeV (B) 10.415 MeV (C) 9.791MeV (D) 8.73MeV

Tardigrade Admin · Accepted Answer

36 mathrmLi+ 24 n arrow 24 mathrmHe+ 13 mathrmH+Q Total initial mass = 6.015126 + 1.0086654 = 7.0237914 textamu Total final mass = 4.0026044 + 3.01 = 7.0126044 textamu Mass defect, Δ m = 7.0237914 - 7.0126044 = 0.0111870 textamu Energy released, Q = 0.0111870 × 931 =10.415 MeV.

$10.92 M e V$

$10.415 M e V$

$9.791 M e V$

$8.73 M e V$

$_{3}^{6} Li +_{2}^{4} n \to_{2}^{4} He +_{1}^{3} H + Q$
Total initial mass $= 6.015126 + 1.0086654$
$= 7.0237914 amu$
Total final mass $= 4.0026044 + 3.01$
$= 7.0126044 amu$
Mass defect, $Δ m = 7.0237914 - 7.0126044$
$= 0.0111870 amu$
Energy released, $Q = 0.0111870 \times 931$
$= 10.415 M e V .$

10.92MeV

10.415MeV

9.791MeV

8.73MeV

36​Li+24​n→24​He+13​H+Q Total initial mass =6.015126+1.0086654 =7.0237914amu Total final mass =4.0026044+3.01 =7.0126044amu Mass defect, Δm=7.0237914−7.0126044 =0.0111870amu Energy released, Q=0.0111870×931 =10.415MeV.

$10.92 M e V$

$10.415 M e V$

$9.791 M e V$

$8.73 M e V$

$_{3}^{6} Li +_{2}^{4} n \to_{2}^{4} He +_{1}^{3} H + Q$
Total initial mass $= 6.015126 + 1.0086654$
$= 7.0237914 amu$
Total final mass $= 4.0026044 + 3.01$
$= 7.0126044 amu$
Mass defect, $Δ m = 7.0237914 - 7.0126044$
$= 0.0111870 amu$
Energy released, $Q = 0.0111870 \times 931$
$= 10.415 M e V .$