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← IIT-JEE 2010 · Paper 1
ChemistryInteger+3Question 28 of 84

IIT-JEE 2010 · Paper 1, Chemistry question 28

The number of neutrons emitted when 92235U^{235}_{92}\mathrm U undergoes controlled nuclear fission to 54142Xe^{142}_{54}\mathrm{Xe} and 3890Sr^{90}_{38}\mathrm{Sr} is

Answer and worked solution

Official answer: 4

Fission (induced by one neutron):
X92235X2922235U+X01X2021n→X54142X2542142Xe+X3890X238290Sr+x X01X2021n.\ce{^{235}_{92}U + ^1_0n -> ^{142}_{54}Xe + ^{90}_{38}Sr + x\,^1_0n}.

Balance. Charge: 92=54+3892=54+38. Mass: 236=142+90+x236=142+90+x, so x=4x=4.

Answer: 4