The half-life of cobalt-60 is 5. 20 yr. how many milligrams of a 2. 000 mg sample remain after 6. 55 years?
1 answer:
0.84 milligrams of a 2. 000 mg sample remain after 6. 55 years, according to radioactive decay.
Given data,
amount of sample = 2.000mg initially = 0.002grams
According to radioactive decay,
( )λ =
=
= 0.133
According to radioactive decay,
- λt
= ln0.002 - (0.133×6.55)
= -6.21 - 0.87 = -7.08 = 0.00084g = 0.84mg
Therefore, 0.84 milligrams of a 2. 000 mg sample remain after 6. 55 years.
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Explanation:
where,
= energy of
orbit
n = number of orbit
Z = atomic number
a) Energy change due to transition from n = 1 to n = ∞ ,hydrogen atom .
Z = 1
Energy of n = 1 in an hydrogen like atom:
Energy of n = ∞ in an hydrogen like atom:
Let energy change be E for 1 atom.
Energy for 1 mole = E'
The energy required to remove the electron in the ground state is 1,312.17 kJ/mol.
b) Energy change due to transition from n = 1 to n = ∞ , atom .
Z = 5
Energy of n = 1 in an hydrogen like atom:
Energy of n = ∞ in an hydrogen like atom:
Let energy change be E.
Energy for 1 mole = E'
The energy required to remove the electron in the ground state is 32,804.31 kJ/mol.
c) Energy change due to transition from n = 1 to n = ∞ ,atom .
Z = 3
Energy of n = 1 in an hydrogen like atom:
Energy of n = ∞ in an hydrogen like atom:
Let energy change be E.
Energy for 1 mole = E'
The energy required to remove the electron in the ground state is 11,809.55 kJ/mol.
d) Energy change due to transition from n = 1 to n = ∞ ,atom .
Z = 25
Energy of n = 1 in an hydrogen like atom:
Energy of n = ∞ in an hydrogen like atom:
Let energy change be E.
Energy for 1 mole = E'
The energy required to remove the electron in the ground state is 820,107.88 kJ/mol.