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Standard XII

Physics

Mass Energy Equivalence

Calculate the...

Question

Calculate the Q-value of the fusion reaction
⁴He + ⁴He = ⁸Be.
Is such a fusion energetically favourable? Atomic mass of ⁸Be is 8.0053 u and that of ⁴He is 4.0026 u.

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Solution

Given:
Atomic mass of ⁸Be = 8.0053 u
Atomic mass of ⁴He = 4.0026 u

$Required Q-value = (2 \times 4.0026 - 8.0053) c^{2} = 0.0001 \times 931 MeV = 0.0001 \times 931 \times 10^{6} eV = 93.1 KeV$

No, such reaction is not favourable.

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Similar questions

Calculate the Q-value of the fusion reaction

$^{4} H e +^{4} H e =^{8} B e$ .

Is such a fusion energetically favourable? Atomic mass of of $^{8} B e$ is 8.0053 u and that of $^{4} H e$ is 4.0026 u.

Q. Calculate the Q-value of the fusion reaction

^{4} H e +^{4} H e =^{8} B e

Is such a fusion energetically favorable? Atomic mass of

^{8} B e

is 8.0053 u and that of

^{4} H e

is 4.0026 u.

Calculate the Q-value of the fusion reaction $^{4} H e +^{4} H e =^{8} B e$ Is such a fusion energetically favorable? Atomic mass of $^{8} B e$ is 8.0053 u and that of $^{4} H e$ is 4.0026 u.

Q. Consider a fusion reaction

^{4} H e

4^{H} e

8^{B} e

. For the reaction Q-value is (90 + n) KeV.Find n.Take 1 amu = 930/

c^{2}

MeV.Atomic mass of

8^{B} e

is 8.0053 u and that of

4^{H} e

is 4.0026 u.

Q. Consider a fusion reaction

^{4} He +^{4} He \to^{8} Be .

The

Q -

value of the reaction is

- (90 + n) k eV .

The value of

n

is (integer only).
Take

1 amu = \frac{930}{c^{2}} M eV {Atomic mass of}^{8} Be = 8.0053 u;^{4} He = 4.0026 u

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Calculate the Q-value of the fusion reaction 4He + 4He = 8Be. Is such a fusion energetically favourable? Atomic mass of 8Be is 8.0053 u and that of 4He is 4.0026 u.

Given: Atomic mass of 8Be = 8.0053 u Atomic mass of 4He = 4.0026 u Required Q-value=(2×4.0026-8.0053) c2 =0.0001×931 MeV =0.0001×931×106 eV =93.1 KeV No, such reaction is not favourable.

Calculate the Q-value of the fusion reaction
⁴He + ⁴He = ⁸Be.
Is such a fusion energetically favourable? Atomic mass of ⁸Be is 8.0053 u and that of ⁴He is 4.0026 u.

Given:
Atomic mass of ⁸Be = 8.0053 u
Atomic mass of ⁴He = 4.0026 u

$Required Q-value = (2 \times 4.0026 - 8.0053) c^{2} = 0.0001 \times 931 MeV = 0.0001 \times 931 \times 10^{6} eV = 93.1 KeV$

No, such reaction is not favourable.