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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 heated the reaction is nearly
[Boltzmann's constant `k = 1.38 xx 10^(-23) J//K]`

A

`10^(9)K`

B

`10^(7)K`

C

`10^(5)K`

D

`10^(3)K`

Text Solution

Verified by Experts

The correct Answer is:
A
Kinetic energy of the molecules of a gas at a temperature `Tis 3/2kT.`
`therefore"To initiate the reaction"3/1kT=7.7xx10^(-14)J`
`implies3/2xx1.38xx10^(-23)T=7.7xx10^(-14)`
`implies"Temperature,"T=3.7xx10^(9)K`
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