Question

1g of hydrogen is converted into 0.993g of helium
in a thermonuclear reaction. The energy released is

1) 63 x 10^7J

2 ) 63 x 10^10J

3) 63 x 10^13J

4) 63 x 10^20J

(with method plzz) ​

Answer 1

$\Large\underline{\underline{\sf Given:}}$

• Mass of Hydrogen = 1g

• Mass of Helium = 0.993g

$\Large\underline{\underline{\sf To\:Find:}}$

• Energy relased (E) = ?

$\Large\underline{\underline{\sf Formula\:Used:}}$

$\Large{\boxed{\boxed{\sf \pink{E=\triangle mc^2}}}}$

$\Large\underline{\underline{\sf Solution:}}$

Mass defect ∆m

∆m = 1 - 0.993

∆m = 0.007g

∆m = $\sf{0.007×10^{-3}kg}$

According of Einstein Mass energy relation

E = ∆mc²

$\implies{\sf E=0.007×10^{-3}×(3×10^8)^2 }$

$\implies{\sf E=0.007×10^{-3}×9×10^{16} }$

$\implies{\sf E=63×10^{10}\:J }$

$\Large\underline{\underline{\sf Answer:}}$

Option (2)

⛬ Energy relased is $\sf{63×10^{10}J}$