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How can uranium 238 decay to plutonium 239 but its mass still increases?
A 238U undergoes fission, then beta decay.
B 238U exhibits alpha emission.
C 238U undergoes neutron capture, then beta decay.
D 238U undergoes fusion.

Answer
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Hint :Uranium is a chemical element which occurs in nature, it is extracted from minerals such as uraninite. It has an atomic number 92 . Plutonium has atomic number 94 , plutonium occurs naturally but at very low concentration hence it is created in reactors from uranium.

Complete Step By Step Answer:
Let's start with the things we know, so we have mentioned atomic number of uranium is 92 , uranium 238 isotope has total number of neutrons =23892=146
Similarly, plutonium has atomic number 94 and has isotope plutonium 239
So let's find of number of neutrons in plutonium, number of neutrons =23994=145
So basically uranium 238 undergoes neutron capture contrary at this point, but the main reason is beta decay because of which beta decay occurs, to be more clear two beta decay takes place.
When uranium 238 capture neutron it becomes uranium 239
 92238U+01n92239U
When the nuclide decays with beta decay, a neutron located inside the nucleus gets converted to a proton and an electron and antineutrino are emitted.
This changes atomic number but will leave its mass number as it is, that means the number of neutrons and protons inside the nucleus remains unchanged.
The first beta decay reaction will takes place
 92239U93239U+10e+ve
Now, uranium 239 will get decay into neptunium 239 with beta decay. So the second beta decay will takes place
 93239Np94239Pu+10e+ve
Option C is correct.

Note :
Uranium is a heavy metal, uranium and plutonium were used to make bombs. After doing research on them they now play a very significant role for making electricity and radioisotopes. Both of these are hazardous when inhaled.