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In the nuclear fusion reaction (1)^(2)...

In the nuclear fusion reaction
`_(1)^(2)H + _(1)^(3)H rarr _(2)^(4)He + n `
given that the repulsive potential energy between the two nuclei is `- 7.7 xx 10^(-14) J` , the temperature at which the gases must be beated the reaction is nearly
[Boltzmann's constant `k = 1.38 xx 10^(-23) J//K]`

A

`10^(7)K`

B

`10^(5)K`

C

`10^(3)K`

D

`10^(9)K`

Text Solution

Verified by Experts

The correct Answer is:
B, D
The average kinetic energy per molecule `= (3)/(2) kT`
This kinetic energy should be able to provide the repulsive potential energy
`:. (3)/(2) kT = 7.7 xx 10^(-14) ` M
`rArr T = ( 2xx 7.7 xx 10^(-14))/(3 xx 1.38 xx 10^(-23)) = 3.7 xx 10^(9)`
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