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Calculate the energy which can be obtain...

Calculate the energy which can be obtained from 1 kg of `H_2O` through the fusion reaction `""_(1)^2H+ ""_(1)^2H rarr""_(1)^2H+p`. Assume `1.5 xx 10^(2)% `of the water contains deuterium. The whole deuterium is consumed in the fusion reaction.

A

2820 J

B

`2820 xx10^4J`

C

`2820 xx10^6J`

D

`2820 xx10^8J`

Text Solution

Verified by Experts

The correct Answer is:
C
`D_2 O=1xx1.5 xx10^(-4)kg = 0.15 g`
Number of `""_1^2H= (0.15 xx6.023 xx10^(23))/20 = 4.5 xx10^(21)`
`Q=(2xx2.014102–3.016049-1.008)931.5xx4.5xx10^(21) xx1.6x10^(-13) J = 2820 xx 10^6J`
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