Answer :
Final answer:
To calculate the percentage of mass loss in the sample of pure U-235, convert energy released to kJ, then use conversion factors to find the mass loss in grams. Divide the mass loss by the mass of the sample and multiply by 100 to get the percentage.
Explanation:
To calculate the percentage of mass loss in the sample of pure U-235, we need to first find the mass loss in grams and then divide it by the mass of the sample. From the information given, we know that the energy released is 2.8 x 10^15 J. Using the conversion factor of 1 mol of U-235 = 1.8 x 10^10 kJ, we can calculate the mass loss in grams. The mass loss is then divided by the mass of the 6.2 kg sample and multiplied by 100 to obtain the percentage of mass loss.
First, convert J to kJ: 2.8 x 10^15 J = 2.8 x 10^15 / 1000 = 2.8 x 10^12 kJ
Next, convert kJ to moles: 2.8 x 10^12 kJ / (1.8 x 10^10 kJ/mol) = 155.56 mol
Then, convert moles to grams: 155.56 mol x 235.04 g/mol = 36557.58 g
Finally, calculate the percentage of mass loss: (36557.58 g / 6200 g) x 100 = 590.9377%
Learn more about Percentage of mass loss here:
https://brainly.com/question/31430784
#SPJ11
Final answer:
The percentage of mass loss in the fission reaction can be calculated by converting the energy released into mass using the equation E=mc² and then dividing it by the initial mass of the sample. In this case, the mass loss is approximately 5.0 x 10⁻⁵%.
Explanation:
When all the nuclei undergo fission in the sample of pure U-235, the mass loss can be calculated by converting the given energy released into grams using the equation E=mc². The mass loss can be determined by dividing the energy released by the square of the speed of light and converting it to grams. The percentage of the mass loss can be calculated by taking the mass loss and dividing it by the initial mass of the sample, then multiplying by 100 to express it as a percentage.
Given:
Energy released (E) = 2.8 x 10^15 J
Mass of the sample (m) = 6.2 kg
Speed of light (c) = 3 x 10^8 m/s
We can use the equation E = mc² to calculate the mass loss:
E = mc²
m = E / c²
Substituting the given values:
m = (2.8 x 10^15 J) / (3 x 10^8 m/s)²
m = 3.11 x 10^(-6) kg
The mass loss is 3.11 x 10^-6 kg
To calculate the percentage of mass loss:
Percentage mass loss = (mass loss / initial mass) x 100
Percentage mass loss = (3.11 x 10^-6 kg / 6.2 kg) x 100
Percentage mass loss = 5.0 x 10^-5%
