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A star initially has 10^(40) deuterons....

A star initially has `10^(40) ` deuterons. It produces energy via the process `_(1)H^(2) + _(1)H^(2) + rarr _(1) H^(3) + p. `and `_(1)H^(2) + _(1)H^(3) + rarr _(2) He^(4) + n` .If the average power radiated by the state is `10^(16) W` , the deuteron supply of the star is exhausted in a time of the order of .
The masses of the nuclei are as follows:
`M(H^(2)) = 2.014 amu,`
`M(p) = 1.007 amu, M(n) = 1.008 amu, M(He^(4)) = 4.001 amu`.

A

`10^(6) s`

B

`10^(8) s`

C

`10^(12) s`

D

`10^(16) s`

Text Solution

Verified by Experts

The correct Answer is:
C

Add equation `3._(1)^(2)H rarr ._(2)^(4)HE + p + n`
(A) `Q = [-[m(._(2)^(4)He)+m(p) + m(n)] + 3m(._(1)^(2)H)] xx 931 MeV`
(B) `10^(16)W = (Q)/(t)`
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Knowledge Check

  • The reaction: 2MnO_(4)^(-) + 3Mn^(2+) + 2H_(2)O rarr 5MnO_(2) + 4H^(+) is catalysed by…..

    A
    `NiSO_(4)`
    B
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    D
    `Fe^(3+)`
  • NH_(3) + 3CI_(2) hArr NCI_(3) + 3HCI, - Delta H_(1) N_(2) + 3H_(2) hArr 2NH_(3) , - Delta H_(2) H_(2) + CI_(2) hArrr 2HCI, Delta H_(3) Calculate the enthalpy of formation of NCI_(3)

    A
    `Delta H_(f) = - Delta H_(1) + (Delta H_(2) )/( 2) - (3)/(2) Delta H_(3)`
    B
    `Delta H_(f) = - Delta H_(2) + (Delta H_(2) )/( 2) - (3)/(2) Delta H_(3)`
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    D
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