Problem 26
Question
In 1930 the American physicist Ernest Lawrence designed the first cyclotron in Berkeley, California. In 1937 Lawrence bombarded a molybdenum target with deuterium ions, producing for the first time an element not found in nature. What was this element? Starting with molybdenum-96 as your reactant, write a nuclear equation to represent this process.
Step-by-Step Solution
Verified Answer
The element produced by Ernest Lawrence in 1937 when bombarding a molybdenum target with deuterium ions was technetium-98. The nuclear equation representing this process is:
\[_{42}^{96}\textrm{Mo} + _1^2\textrm{H} \rightarrow _{43}^{98}\textrm{Tc}\]
1Step 1: Gather information about molybdenum and deuterium atoms
Molybdenum (Mo) is a chemical element with atomic number 42, and deuterium is a stable isotope of hydrogen with one proton and one neutron. It is often represented as \(_1^2\)H or D. In this process, we start with molybdenum-96, which has an atomic number of 42 and a mass number of 96.
2Step 2: Determine the element produced
In this process, a molybdenum-96 nucleus is bombarded by a deuterium atom, effectively adding a proton and a neutron to the molybdenum nucleus. This produces an element with an atomic number of 42 + 1 = 43 and a mass number of 96 + 2 = 98. The element with an atomic number of 43 is technetium (Tc). Thus, the element produced in this reaction is technetium-98.
3Step 3: Write the nuclear equation
Now that we know the reactants and products, we can write the nuclear equation representing this process. The equation would be:
\[_{42}^{96}\textrm{Mo} + _1^2\textrm{H} \rightarrow _{43}^{98}\textrm{Tc}\]
This equation indicates that a molybdenum-96 nucleus, when bombarded by a deuterium atom, produces a technetium-98 nucleus.
Other exercises in this chapter
Problem 24
Which of the following nuclides would you expect to be radioactive: \({ }_{28}^{62} \mathrm{Ni},{ }_{29}^{58} \mathrm{Cu},{ }_{47}^{108} \mathrm{Ag},\) tungsten
View solution Problem 25
Why are nuclear transmutations involving neutrons generally easier to accomplish than those involving protons or alpha particles?
View solution Problem 27
Complete and balance the following nuclear equations by supplying the missing particle: (a) \({ }_{98}^{252} \mathrm{Cf}+{ }_{5}^{10} \mathrm{~B} \longrightarro
View solution Problem 28
Complete and balance the following nuclear equations by supplying the missing particle: (a) \({ }_{7}^{14} \mathrm{~N}+{ }_{2}^{4} \mathrm{He} \longrightarrow ?
View solution