Respuesta :
Answer:
Number of times a one pound (2.2 kg) block of iron can be split in half before it stops being iron
= 84.29 times
Explanation:
Atoms : It is the smallest indivisible particle of the matter .
The atom can not be further breakdown .
Here in this question , we have to find the number of atoms (because it is the last possible situation for breaking of atom)
Mole : The quantity of the substance that contain as many particles as present in 12 g of C-12.It is quantity which Avogadro number(N0) of particles
[tex]N_{0}=6.022\times 10^{23}[/tex]
1.First calculate the number of moles of Fe in 2.2Kg Block
Mass of Iron (Fe) = 55.845 amu
Molar mass of Iron = 55.845 g
Given mass = 2.2 kg
1 kg = 1000 g
2.2 kg = 2200 g
[tex]moles = \frac{given\ mass}{Molar\ mass}[/tex]
[tex]moles = \frac{2200}{55.845}
Moles of Fe = 39.39
2.Calculate the number of particles of Fe in 39.39 moles of Block
[tex]moles = \frac{Number\ of\ Particles}{Avogadro\ number}[/tex]
[tex]Avogadro\ number = 6.022\times 10^{23}[/tex]
moles = 39.39
[tex]39.39 = \frac{Number\ of\ Particles}{N_{0}}[/tex]
[tex]Number\ of\ Particles=39.39\times 6.022\times 10^{23}[/tex]
[tex]Number\ of\ Particles= 2.37\times 10^{25}[/tex]
[tex]2.37\times 10^{25}[/tex] atoms
3.Calculate Number of time(n), the block is split into -Half
[tex]2^{n}=2.37\times 10^{25}[/tex]
Take log both side ,
[tex]n\ log2 = log(2.37\times 10^{25})[/tex]
Solve for n, you get
n= 84.29 (convert it to nearest whole number)
n = 84 times
