Question -
Answer -
Take a
emission nuclear reaction:
We know that:
Mass of
m1 = 223.01850 uMass of
m2 = 208.98107 uMass of
, m3 = 14.00324 uHence, the Q-value of thereaction is given as:
Q = (m1 − m2 − m3) c2
= (223.01850 − 208.98107 − 14.00324) c2
= (0.03419 c2) u
But 1 u = 931.5 MeV/c2
∴Q = 0.03419 ×931.5
= 31.848 MeV
Hence, the Q-value of the nuclearreaction is 31.848 MeV. Since the value is positive, the reaction isenergetically allowed.
Now take a
emission nuclear reaction:
We know that:
Mass of
m1 = 223.01850 Mass of
m2 = 219.00948Mass of
, m3 = 4.00260Q-value of this nuclear reaction isgiven as:
Q = (m1 − m2 − m3) c2
= (223.01850 − 219.00948 − 4.00260) C2
= (0.00642 c2) u
= 0.00642 × 931.5 = 5.98 MeV
Hence, the Q value of thesecond nuclear reaction is 5.98 MeV. Since the value is positive, the reactionis energetically allowed.