Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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![**Fusion Reaction Energy Calculation**
The easiest fusion reaction to initiate is:
\[ ^2_1\text{H} + ^3_1\text{H} \rightarrow ^4_2\text{He} + ^1_0\text{n} \]
To calculate the energy released, in kJ, per nucleus of \( ^4_2\text{He} \) produced, we must consider the masses of the relevant particles. The masses of these particles in atomic mass units (amu) are provided as follows:
\[ 1 \text{ amu} = 1.66 \times 10^{-27} \text{ kg} \]
| **Particle** | **Mass (amu)** |
|--------------|----------------|
| \( ^2_1\text{H} \) | 2.01410 |
| \( ^3_1\text{H} \) | 3.01605 |
| \( ^4_2\text{He} \) | 4.00260 |
| \( ^1_0\text{n} \) | 1.00866 |
| \( ^0_{-1}\text{e} \) | 5.4858 x 10^-4 |
By using these masses, the energy released in the fusion reaction can be calculated. For a detailed explanation and step-by-step process, refer to the subsequent sections.](https://content.bartleby.com/qna-images/question/74446e5c-3f60-43cb-b67a-6a64a4e1e483/f0713184-6fb5-4146-b88b-ed5f43a5e04f/xedizf8_processed.jpeg)
Transcribed Image Text:**Fusion Reaction Energy Calculation**
The easiest fusion reaction to initiate is:
\[ ^2_1\text{H} + ^3_1\text{H} \rightarrow ^4_2\text{He} + ^1_0\text{n} \]
To calculate the energy released, in kJ, per nucleus of \( ^4_2\text{He} \) produced, we must consider the masses of the relevant particles. The masses of these particles in atomic mass units (amu) are provided as follows:
\[ 1 \text{ amu} = 1.66 \times 10^{-27} \text{ kg} \]
| **Particle** | **Mass (amu)** |
|--------------|----------------|
| \( ^2_1\text{H} \) | 2.01410 |
| \( ^3_1\text{H} \) | 3.01605 |
| \( ^4_2\text{He} \) | 4.00260 |
| \( ^1_0\text{n} \) | 1.00866 |
| \( ^0_{-1}\text{e} \) | 5.4858 x 10^-4 |
By using these masses, the energy released in the fusion reaction can be calculated. For a detailed explanation and step-by-step process, refer to the subsequent sections.
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- One of the many nuclear fission reactions 235U can undergo is:23592U+10n→8934Rb+14458Ce+310nThe total mass of the reactants is 236.0526 amu and the total mass of the products is 235.8765 amu. Determine the energy change when one mole of 235U undergoes this fission reaction in KJ.arrow_forwardUse your observations (the symbols and process shown) to write a nuclear equation that describes fusion. Highlight the portion of the equation during which the most energy was released.arrow_forwardPredict the decay mode for Rb-91. *Write the name of the particle. Write the nuclear reaction. *Use the following format: X-A + potential name of particle --> X-A OR X-AX-A + potential name of particlearrow_forward
- For the fusion reaction shown, calculate the change in energy of the reaction in units of joules per mole. AE= H + H →→→ He + n - J/mol Atom or particle H-1 H-2 H-3 He-3 He-4 neutron Mass (amu) 1.00782 2.01410 3.01605 3.01603 4.00260 1.00866arrow_forwarda) Mrs. Price's son, Liam is currently working as a boilermaker at the Darlington Nuclear Power plant. He is working with Uranium-237 which has a half-life of 13.75 days. What mass of an initial sample of 567.5g of uranium-237 would remain after 56 days? b) Write the complete reaction for the decay of Po-210 if it undergoes 2 consecutive alpha decay followed by a beta decay followed by another alpha decay.arrow_forwardCalculate the energy released (in kJ/mol) by the fusion reaction of deuterium and tritium:2H + 3H 4He + nParticle masses (amu): 2H (2.01355321), 3H (3.0160492), 4He (4.002602), n (1.008664916)1 amu = 1.66054 x 10-27 kgarrow_forward
- Calculate the energy ( in joules ) released when 1.0 g of U- 235 undergoes fission reaction into Ba - 142 and Kr -92 and neutron/s. The masses are: Ba-142 = 141.92 u %3D Kr - 92 = 91.92 u Table 20.3 Masses of Some Nuclei and Other Atomic Particies Symbol Mass (amu) Symbol Mass (amu 0. 0.000549 27 59 58.9184 1,00867 Ni 28 58 57.9199 Hor P 1.00728 2,01345 Ph 82 82 82 206 207 205.9295 206.9309 207,9316 3.01550 208 He 3.01493 4.001S0 Po 84 210 218 209.9368 217.9628 84 Li 6.01347 7.01435 Ri Ra 86 222 226 221.9703 225.9771 88 Be 6. 9.00999 Th 230 229.9837 B. 10 10.0102 I1.0066 90 91 214 234 233.9942 233.9931 11 Pa 12 13 11.9967 13.0001 92 211 232.9890 92 234 233.9904 8. 16 15.990S 92 235 234.9934 24 52 51.9273 Fe 92 238 238.0003 26 S6 55.9206 Pu 94 239 239.0006 828arrow_forwardCalculate the energy released, in J, when 1.00 kg of uranium-235 undergoes the following fission process. ¹on + 23592 U Particle lodine-136 Yttrium-96 Uranium-235 Neutron - 13653 +9639Y + 4¹on Mass (amu) 135.8401 95.8629 234.9935 1.00867arrow_forward
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