Solveeit Logo
Login

Question

Question: In a uranium reactor whose thermal power is P = 100 MW, if the average number of neutrons liberated ...

In a uranium reactor whose thermal power is P = 100 MW, if the average number of neutrons liberated in each nuclear splitting is 2.5. Each splitting is assumed to release an energy E = 200 MeV. The number of neutrons generated per unit time is–

A

4 × 1018 s–1

B

8 × 1023 s–1

C

8 × 1019 s–1

D

8 × 1018 s–1

Answer

8 × 1018 s–1

Explanation

Solution

Number of reactions per sec =

= 100×106200×106×1.6×10−19\frac { 100 \times 10 ^ { 6 } } { 200 \times 10 ^ { 6 } \times 1.6 \times 10 ^ { - 19 } } = 10193.2\frac { 10 ^ { 19 } } { 3.2 }

2.5 neutrons liberated in each splitting. hence, Number of neutron generate per unit time

= 2.53.2\frac { 2.5 } { 3.2 } × 1019 = 25032\frac { 250 } { 32 }× 1018 = 8 × 1018 s–1