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Physics

Copy and complete the nuclear reaction by filling in the blanks.

92U235+0n156Ba+ Kr92+3 0n1_{92}\text{U}^{235} + _0\text n^1 \longrightarrow _{56}\text {Ba}^{\cdots} + \space _{\cdots}\text {Kr}^{92} + 3 \space _0\text n^1

Radioactivity

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Answer

As only neutrons are involved in the reaction which number of protons and total nucleon number (i.e., number of protons + neutrons) remain constant.

Then,

Initially,

No. of protons (np) = Atomic number of 92U235_{92}\text{U}^{235} = 92

No. of nucleons (n) = Mass number of 92U235{92}\text{U}^{235} + mass number of 0n10\text n^1 = 235 + 1 = 236

Now,

Finally,

Let atomic number of Kr is Z and mass number of Ba is A.

No. of protons (np) = Atomic number of 56BaA{56}\text{Ba}^{\text A} + Atomic number of ZKr92{\text Z}\text{Kr}^{92} = 56 + Z

and

No. of nucleons (n) = mass number of 56BaA{56}\text{Ba}^{\text A} + mass number of ZKr92{\text Z}\text{Kr}^{92} + 3 x mass number of 0n1_0\text n^1 = A + 92 + 3 = A + 95

As number of protons are constant :

⇒ 92 = 56 + Z

⇒ Z = 92 - 56 = 36

Also, number of nucleons are constant :

⇒ 236 = A + 95

⇒ A = 236 - 95 = 141

So reaction will be :

92U235+0n156Ba141+ 36Kr92+3 0n1_{92}\text{U}^{235} + _0\text{n}^1 \longrightarrow _{56}\text {Ba}^{141} + \space _{36}\text {Kr}^{92} + 3 \space _0\text n^1

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