The height of the bin is 29.9m.
The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
The total surface area of the cylinder formula is simply the sum of the base surface area and the lateral surface area.
The radius of the cylinder, r = 5m
Surface area = 1099 m²
∴ A = 2πrh + 2πr²
Therefore, the height of the bin is 29.9m.
Learn more about surface area here:
#SPJ4
Answer:
0.269 g
Explanation:
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+
Data:
Half-life of (T(1/2)) = 138.4 days
Mass of PoCl4 = 561 mg (0,561 g) and molecular weight of PoCl4 = 350. 79 g/mol
Time = 338.8 days
Isotopic masses
= 209.98 g/mol
= 205.97 g/mol
Concepts
Avogadro’s number: This is the number of constituent particles that are contained in a mol of any substance. These constituted particles can be atoms, molecules or ions). Its value is 6.023*10^23.
The radioactive decay law is
N=Noe^(-λt)
Where:
No = number of atoms in t=0
N = number of atoms in t=t (now) in this case t=338.8 days
λ= radioactive decay constant
The radioactive constant is related to the half-life by the next equation
λ=
so
λ= =0,005008 days^(-1)
No (Atoms of in t=0)
To get No we need to calculate the number of atoms of in the initial sample. We have a sample of 0,561 g of PoCl4. If we get the number of moles of PoCl4 in the sample, this will be the number of moles of
in the initial sample.
This is:
= 0,001599 mol of PoCl4
This is the number of mol of in the initial sample.
To get the number of atoms in the initial sample we use the Avogadro’s number = 6.023*10^23
0,001599 mol of * 6.023*10^23 atoms/ mol of
= 9.632 *10^20 atoms of
Atoms after 338.8 days
We use the radioactive decay law to get this value
N=Noe^(-λt)
N=9.632*10^20 e^(-0,005008 days^(-1) * 338.8 days) =1.765*10^20
This is the number of atoms of in the sample after 338.8 days has passed
The number of atoms transformed is equal to the number of atoms of
produced.
The number of atoms of transformed is No - N
9.632 *10^20 – 1.765 *10^20 = 7.866*10^20
So, 7.866*10^20 is the number of atoms of produced
We can get the mass with the Avogadro’s number
(7.866*10^20 atoms of ) / ( 6.023*10^23 atoms of
/ mol of
= 0.001306 moles of
This number of moles have a mass of:
(0,001306 moles of )* (205.97 g of
/mol of
) = 0.269 g
We need to first come up with a balanced equation:
→
We know that the molar ratio of hydrogen to oxygen to water now is 4:1:2.
Converting the amount of grams given to moles is as follows:
Hydrogen:
Oxygen:
We know now that the limiting reactant is oxygen. We can then know that the number of moles of water are produced are double the number of moles of oxygen used due to the ratio that we established at the beginning - 4:1:2.
So we now can use 6.25 moles of water as the amount produced.
Then we convert moles of water to grams:
Now we know that there are 112.59g of water produced when we start with 50g of hydrogen and 50g of water.