calculate the energy released when 0.5g of uranium 235 undergoes a fission reaction.
0.5g of uranium 235 contains 0.5/235 x 6.023 x 10²³ = 0.0128 x 10²³
The energy released during each U-235 fission reaction = 202.5 Mev
0.0128 x 10²³ x 202.5 = 2.592 x 10²³J
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Calculate the energy released when 0.5 grams of uranium 235 undergoes a fission reactions?
To calculate the energy released when 0.5g of uranium-235 undergoes a fission reaction, we will use the equation E = mc^2, where E is the energy released, m is the mass, and c is the speed of light.
1. Convert the mass of uranium-235 into kilograms:
0.5g = 0.5 / 1000 = 0.0005 kg
2. Determine the speed of light, c:
The speed of light is approximately 299,792,458 meters per second (m/s).
3. Compute the energy released:
E = (mass) × (speed of light)^2
E = 0.0005 kg × (299,792,458 m/s)^2
Calculating this equation will give the energy released when 0.5g of uranium-235 undergoes a fission reaction.
To calculate the energy released when 0.5g of uranium-235 undergoes a fission reaction, you can use Einstein's mass-energy equivalence principle, which states that energy (E) can be calculated using the equation E = mc², where m is the mass and c is the speed of light.
The first step is to determine the amount of uranium-235 in moles. To do this, divide the given mass (0.5g) by the molar mass of uranium-235. The molar mass of uranium-235 is approximately 235 g/mol.
0.5g ÷ 235 g/mol = 0.00213 mol
Next, you need to find the total energy released per mole of uranium-235 during the fission reaction. The energy released per fission is approximately 200 million electron volts (MeV), or 3.2 × 10⁻¹² joules (J).
Now, multiply the energy released per fission (in joules) by the number of moles of uranium-235:
0.00213 mol × 3.2 × 10⁻¹² J/mol = 6.816 × 10⁻¹⁵ J
Therefore, the energy released when 0.5g of uranium-235 undergoes a fission reaction is approximately 6.816 × 10⁻¹⁵ joules.