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Find the Q value of the reaction P + .^(...

Find the `Q` value of the reaction `P + .^(7) Li rarr .^(4) He +.^(4) He`. Determine whether the reaction is exothermic or endothermic. The atomic masses of `.^(1) H,.^(4) He` and `.^(7)Li` are `1.007825 u,4.002603 u`, and `7.016004 u`, respectively.

A

`17eV`

B

`17keV`

C

`17MeV`

D

`170 MeV`

Text Solution

Verified by Experts

The correct Answer is:
C

`._(3)^(7)Li +._(1)^(1)H rarr ._(2)^(4)He +._(2)^(4)He`
Mass defect, `Deltam = m (._(3)^(7)Li) +m (._(1)^(1)H)- 2m (._(2)^(4)He)`
`= 7.0166004 u + 1.007825u - 2 (4.002603) u = 0.018623 u`
`Q = (0.018623) (931.5) MeV = 17 MeV`
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