The amount of energy released when 0.5kg of uranium is burnt completely is [c = 3 x 10\(^8\)m/s]
To calculate the amount of energy released when 0.5 kg of uranium is completely burnt, we use Einstein's mass-energy equivalence formula:
\(E = mc^2\)
Given: Mass of uranium (\( m \)) = 0.5 kg, Speed of light (\( c \)) = \( 3 \times 10^8 \, \text{m/s} \)
Substituting the values into the formula:
\(E = 0.5 \, \text{kg} \times (3 \times 10^8 \, \text{m/s})^2\)
Calculating \( c^2 \):
\((3 \times 10^8)^2 = 9 \times 10^{16} \, \text{m}^2/\text{s}^2\)
Now, substituting back:
\(E = 0.5 \times 9 \times 10^{16} = 4.5 \times 10^{16} \, \text{J}\)
The amount of energy released when 0.5 kg of uranium is burnt completely is \(E = 4.5 \times 10^{16} \, \text{J}\)
There is an explanation video available below.
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