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PolarNik [594]
3 years ago
7

We can also perform a similar calculation for the mass defect and binding energy for nuclear reactions using the masses of the a

toms and any other atomic particles that are part of the reaction. With this in mind, calculate the mass defect in amu and kg, and binding energy in J for the reaction of 1 neutron with U-235 to produce Te-137, Zr-97, and some neutrons. Balance the nuclear equation first before proceeding.
U-235 = 235.04393 amu, 01n = 1.00867 amu, Te-137 = 136.92532 amu, Zr-97 = 96.91095 amu

Boron-10 undergoes fission via thermal neutron capture of a single neutron to produce lithium-7, an alpha particle, and energy. Write a balanced nuclear equation, and then calculate the mass defect in amu and kg, and binding energy in J.
B-10 = 10.01294 amu, 01n = 1.00867 amu, Li-7 = 7.01600 amu, α (He-4) = 4.00260 amu
Chemistry
1 answer:
sukhopar [10]3 years ago
7 0

Answer:

See Explanation

Explanation:

\frac{235}{92} U + \frac{1}{0} n ---->\frac{137}{52} Te + \frac{97}{40} Zr +2\frac{1}{0} n

Hence the mass defect is;

[235.04393 + 1.00867] - [ 136.92532 + 96.91095 + 2(1.00867)]

=  236.0526 - 235.85361

= 0.19899 amu

Since 1 amu = 1.66 * 10^-27 Kg

0.19899 amu = 0.19899 * 1.66 * 10^-27 = 3.3 * 10^-28 Kg

Binding energy = Δmc^2

Binding energy = 3.3 * 10^-28 Kg * (3 * 10^8)^2 = 2.97 * 10^-11 J

ii) \frac{10}{5}B + \frac{1}{0}n-----> \frac{7}{3} Li + \frac{4}{2} He + Energy

Hence the mass defect is;

[10.01294 + 1.00867] - [7.01600 + 4.00260]

= 11.02161 - 11.0186

= 0.00301 amu

Since 1 amu = 1.66 * 10^-27 Kg

0.00301 amu = 0.00301 * 1.66 * 10^-27 = 4.997 * 10^-30 Kg

Binding energy = Δmc^2

Binding energy = 4.997 * 10^-30 Kg * (3 * 10^8)^2 = 4.5 * 10^-13 J

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