Home
Class 12
PHYSICS
Find the minimum kinetic energy of an al...

Find the minimum kinetic energy of an `alpha`-particle to cause the reaction `.^14N(alpha,p).^17O`. The masses of `.^14N`, `.^4He`, `.^1H` and `.^17O` are respectively `14.00307u`, `4.00260u, 1.00783u and 16.99913u`.

Text Solution

Verified by Experts

Since, the masses are given in atomic mass unit , it is easiest to proceed by finding the mass difference between reactants and products in the same unit and then multiplying by 931. 5 Me V/u Thus , we have
`Q=(14.00307u + 4.00260u - 1.00783 u - 16.99913u)`
`(931.5 (MeV)/u) =-1.20 MeV`
Q value is negative , it means reaction is endothermic So , the minimum kinetic energy of `alpha` - particle to initiate this reaction would be
`K_(min)=|Q|((m_(alpha))/(m_N)+1)=(1.20)((4.00260)/(14.00307)+1)=1.54 MeV`
Promotional Banner

Similar Questions

Explore conceptually related problems

The kinetic energy of alpha -particle emitted in the alpha -decay of ""_(88)Ra^(266) is [given, mass number of Ra = 222 u]

The binding energy of alpha -particle is ( if m_p=1.00785u , m_n=1.00866u and m_alpha=4.00274u )

What is the Q-value of the reaction? ""^(1)H+""^(7)Lito ""^(4)He+""^(4)He The atomic masses of ""^(1)H,""^(4)Heand ""^(7)Li 1.007825u, 4.0026034u and 7.01600u, respectively.

Find the Q value of the reaction N^(14)+alpha rarr O^(17) +P The mass of are, respectivley , 14.00307 u, 4.00260 u , and 16.99913u . Find the total kinetic energy of the products if the striking alpha partilcles has the minimum kinetic energy required to intiate the reaction .

Find the kinetic energy of the alpha - particle emitted in the decay ^238 Pu rarr ^234 U + alpha . The atomic masses needed are as following: ^238 Pu 238.04955 u ^234 U 234.04095 u ^4 He 4.002603 u . Neglect any recoil of the residual nucleus.

Calculate the energy released when three alpha particles combine to form a _^12 C nucleus. The atomic mass of _^4 He is 4.002603 u .

Show that the nuclide .^8Be has a positive binding energy but is unstable with respect to decay into two alpa particles, where masses of neutron, .^1H , and .^8 Be are 1.008665 u, 1.007825 u , and 8.005305 u , respectively.

Calculate the binding energy of an alpha particle from the following data: mass of _1^1H atom = 1.007825 u mass of neutron = 1.008665 u mass of _4^2He atom = 4.00260 u Take 1 u = 931 MeV c^(-2)

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.

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) Hp,.^(4) He and .^(7)Li are 1.007825 u,4.002603 u , and 7.016004 u , respectively.