Worksheet: Balancing Nuclear Reactions

In this worksheet, we will practice balancing equations for nuclear reactions and determining the nuclide symbols for unknown reactants and products.

Q1:

Write a balanced equation for the formation of dubnium-260 from californium-249 and nitrogen-15.

  • A2499715726010510eCf+NDb+4n+e+𝜈
  • B2499715726010410+eCf+NDb+4n+e+𝜈
  • C2499815726010510Cf+NDb+4n
  • D2499815726010410eCf+NDb+4n+𝜈
  • E2499815726010510eCf+NDb+4n+𝜈

Q2:

Write a balanced equation for the formation of lawrencium-257 from californium-250 and boron-11.

  • A2509811525710310Cf+BLr+4n
  • B2509711525710210Cf+BLr+4n
  • C2509711525710210Cf+BLr+3n
  • D2509811525710310Cf+BLr+3n
  • E2509911525710410Cf+BLr+3n

Q3:

Write a balanced equation for the decay of bismuth-212 into polonium-212.

  • A2128321284eBiPo+𝜈
  • B2128321284+BiPo+e+𝜈
  • C2128321284+eBiPo+e+𝜈
  • D2128321284BiPo+e+𝜈
  • E2128321284eBiPo+e+𝜈

Q4:

Write a balanced equation for the decay of an unstable atom into beryllium-8 by positron emission.

  • A9384+eLiBe+e+𝜈
  • B7584+BBe+e+𝜈
  • C8584+eBBe+e+𝜈
  • D9584+BBe+e+𝜈
  • E8384+LiBe+e+𝜈

Q5:

Write a balanced equation for the formation of plutonium-239 from uranium-238 and a neutron.

  • A238921023994eU+nPu+2e+2𝜈
  • B238921023994+U+nPu+2e
  • C238921023994U+nPu+e
  • D238921023994eU+nPu+𝜈
  • E238921023994+eU+nPu+e+𝜈

Q6:

Write a balanced equation for the decay of strontium-90 into yttrium-90.

  • A90389039+eSrY+e+𝜈
  • B90389039SrY+e+𝜈
  • C90389037eSrY+𝜈
  • D90388937+eSrY+e+𝜈
  • E90388937SrY+e+𝜈

Q7:

Write a balanced equation for the decay of a thorium-229 nucleus into a nucleus of actinium-225.

  • A229902258942ThAc+He+e+𝜈
  • B229902258921+ThAc+2He+e
  • C229902258942eThAc+He+𝜈
  • D229902258842ThAc+He
  • E229902258821eThAc+2He+e+𝜈

Q8:

Write a balanced equation for the decay of a gold-173 nucleus into a nucleus of iridium-169.

  • A173791707742eAuIr+He+e+𝜈
  • B173791707842eAuIr+He+e+𝜈
  • C173791697742AuIr+He
  • D173791697742eAuIr+He+𝜈
  • E173791697842+eAuIr+He+e+𝜈

Q9:

Write a balanced equation for the formation of berkelium-244 from americium-241 and helium-4.

  • A241954224497Am+HeBk
  • B24195422449611Am+HeBk+H
  • C24195422449511Am+HeBk+2H
  • D24195422449810Am+HeBk+2n
  • E24195422449710Am+HeBk+n

Q10:

Write a balanced equation for the formation of fermium-254 from neutron bombardment of plutonium-239.

  • A2399410254100ePu+13nFm+4e+4𝜈
  • B2399410254100ePu+11nFm+6e+6𝜈
  • C2399410254100ePu+15nFm+6e+6𝜈
  • D2399510254100ePu+13nFm+5e+5𝜈
  • E2399510254100ePu+15nFm+5e+5𝜈

Q11:

What is the nuclide symbol for fluorine-19?

  • A199F
  • B1928F
  • C2819F
  • D919F
  • E289F

Q12:

What is the nuclide symbol for cobalt-60?

  • A3360Co
  • B6033Co
  • C2760Co
  • D6027Co
  • E3327Co

Q13:

What is the nuclide symbol for rhenium-186?

  • A111186Re
  • B186111Re
  • C18675Re
  • D11175Re
  • E75111Re

Q14:

Write a balanced equation for the production of 17O from 14N by 𝛼 particle bombardment.

  • A14732178+eN+HeO+e+𝜈
  • B1474117810N+HO+n
  • C1474117810N+HeO+n
  • D14731178N+HO
  • E1474217811N+HeO+H

Q15:

Write a balanced equation for the production of 14C from 14N by neutron bombardment.

  • A14710148eN+nC+e+𝜈
  • B1471014811N+nC+H
  • C14701148N+nC
  • D1471014611N+nC+H
  • E14701146+eN+nC+e+𝜈

Q16:

Write a balanced equation for the production of 233Th from 232Th by neutron bombardment.

  • A232900123390eTh+nTh+𝜈
  • B232901123390+eTh+nTh+e+𝜈
  • C232901023390Th+nTh
  • D232901123390eTh+nTh+𝜈
  • E232900123390+eTh+nTh+e+𝜈

Q17:

Write a balanced equation for the production of 239U from 238U by 2H bombardment.

  • A238922123992eU+HU+𝜈
  • B238922123992U+HU
  • C23892212399210U+HU+n
  • D23892212399211U+HU+H
  • E23892212399231U+HU+H

Q18:

Iodine-131 has a half-life of 8.70 days and decays by 𝛽 emission.

Write a balanced equation for the decay of iodine-131.

  • A1315313152eITe+e+𝜈
  • B1315313154eIXe+e+𝜈
  • C1315313152eITe+e+𝜈
  • D1315313154IXe+e
  • E1315313154eIXe+e+𝜈

How much time is needed for 95.0% of a sample of iodine-131 to decay?

Q19:

A nuclear reaction is described by the equation shown. 27134210Al+HeX+n Identify the particle X.

  • APhosphorus-31
  • BSilicon-30
  • CPhosphorus-30
  • DAluminium-31
  • ESilicon-31

Q20:

A nuclear reaction is described by the following equation. 1474211N+HeX+H Identify the particle X.

  • ACarbon-11
  • BNitrogen-14
  • CBoron-12
  • DOxygen-17
  • EFluorine-18

Q21:

A nuclear reaction is described by the equation shown. 103142n+XH+He Identify the particle X.

  • ABeryllium-10
  • BBeryllium-7
  • CLithium-6
  • DBeryllium-9
  • ELithium-7

Q22:

A nuclear decay is described by the equation shown. 235921355510UX+Cs+4n Identify the particle X.

  • A10441Nb
  • B10041Nb
  • C10136Kr
  • D10038Sr
  • E9637Rb

Q23:

A nuclear reaction is described by the equation shown. 239942429610Pu+XCm+n Identify the particle X.

  • A42He
  • B32He
  • C31H
  • D11H
  • E21H

Q24:

The nuclide 12553I combines with an electron to produce a new nuclide. Write a balanced equation for this reaction.

  • A1255312454eI+eXe+𝜈
  • B1255312454I+eXe
  • C1255312554eI+eXe+𝜈
  • D1255312652I+eTe
  • E1255312552I+eTe+𝜈

Q25:

Reaction of a magnesium-25 nucleus with an 𝛼 particle produces a free proton and another nuclide. Write a balanced equation for this reaction.

  • A251242291411Mg+HeSi+H
  • B251242271311Mg+HeAl+H
  • C251242291311Mg+HeAl+H
  • D251242281411Mg+HeSi+H
  • E251242281311Mg+HeAl+H

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