Answer:
the element must be in the fifth, sixth, or seventh energy shells.
Explanation:
Because the first ionization energy is less than calcium's, the element must be larger and in the next energy shell. Calcium is in the fourth energy shell, so the element must be in the fifth, sixth, or seventh energy shells.
27.0 g
Explanation:
The density of a substance tells you the mass of exactly one unit of volume of said substance.
In your case, aluminium is said to have a density of
density Al
=
2.70 g
.
cm
−
3
This tells you that every
1 mL
of aluminium has a mass of
2.70 g
.
All you have to do now is use the density of aluminium as a conversion factor to go from cubic centimenters of aluminium to grams
10.0
cm
3
⋅
2.70 g
1
cm
3
=
27.0 g
−−−−−
The answer is rounded to three sig figs.
The geometric series 1/54 + 1/9 + 2/3 + 4 + ... diverges. The sum cannot tbe found.
<h3>What is geometric series?</h3>
A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.
The given series is divergent type. The sum of any geometric series can be find out using the formula
S =a (1-r) where r is the common ratio. In this series, there is no common ratio.
Thus, the series is divergent and sum doesn't exist.
Learn more about geometric series.
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The present value (PV) of $15,254.24 is the most James bennett can consume in his youth.
<u>Given the following data:</u>
- Investment opportunity (youth) = $12,000
- Investment opportunity (old age) = $15,000
To calculate the most James bennett can consume in his youth:
First of all, we would determine the future value of James bennett from his investment and inheritance as follows:

FV = $18000
Mathematically, the most James bennett can consume in his youth is given by this formula:

Substituting the given parameters into the formula, we have;

PV = $15,254.24
Therefore, the present value (PV) of $15,254.24 is the most James bennett can consume in his youth.
Read more on present value here: brainly.com/question/24341207