1 mg of uranium-235 is completely destroyed in an atomic bomb.How much energy is liberated ?
Answers
Answered by
131
We have to calculate the amount of energy released when 1 mg of uranium-235 is completely destroyed in an atomic bomb.
Solution:
From Einstein's Theory of Relativity, energy is equal to the product of mass and square of light speed.
i-e, E = mc² ....... (1)
Which expresses that energy and mass are the physical quantities which can be changed into each other.
Now, given that
Mass of Uranium = m = 1 g = 10⁻⁶ kg
Speed of light = c = 3 x 10⁸
Put these values in equation (1), we get:
E = mc²
E = (10⁻⁶) (3 x 10⁸)²
E = 9 x 10¹⁰ J
which is the required answer.
Hence 9 x 10¹⁰ J of energy is liberated when 1 mg of uranium-235 is completely destroyed in an atomic bomb.
Hope it will help you. Thanks.
Solution:
From Einstein's Theory of Relativity, energy is equal to the product of mass and square of light speed.
i-e, E = mc² ....... (1)
Which expresses that energy and mass are the physical quantities which can be changed into each other.
Now, given that
Mass of Uranium = m = 1 g = 10⁻⁶ kg
Speed of light = c = 3 x 10⁸
Put these values in equation (1), we get:
E = mc²
E = (10⁻⁶) (3 x 10⁸)²
E = 9 x 10¹⁰ J
which is the required answer.
Hence 9 x 10¹⁰ J of energy is liberated when 1 mg of uranium-235 is completely destroyed in an atomic bomb.
Hope it will help you. Thanks.
Answered by
50
It is given research fact that each nucleus will release around 200 MeV of energy.
The atomic weight of Uranium is about 235 which means that 235 grams of Uranium will contain one gram mole of atoms.
Therefore, E = 200 x (1000/235) x 6.02 x 10²³ = 5.12 x 10²⁶ MeV
E = 8.21 x 10¹³ Joules for 1 kg of Uranium
Therefore, for 1 gm, it will be - E = 8.21 x 10¹⁰ Joules, which is approximately equal to 9 x 10¹⁰ Joules.
The atomic weight of Uranium is about 235 which means that 235 grams of Uranium will contain one gram mole of atoms.
Therefore, E = 200 x (1000/235) x 6.02 x 10²³ = 5.12 x 10²⁶ MeV
E = 8.21 x 10¹³ Joules for 1 kg of Uranium
Therefore, for 1 gm, it will be - E = 8.21 x 10¹⁰ Joules, which is approximately equal to 9 x 10¹⁰ Joules.
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