ANSWER:
0.94 cm
EXPLANATION
From the question,
![M=56.3g \\ D = 6.73g/ {cm}^{3} \\ l = 12.0cm](https://tex.z-dn.net/?f=M%3D56.3g%20%5C%5C%20D%20%3D%206.73g%2F%20%7Bcm%7D%5E%7B3%7D%20%5C%5C%20l%20%3D%2012.0cm)
![D = \frac{M}{V}](https://tex.z-dn.net/?f=D%20%3D%20%5Cfrac%7BM%7D%7BV%7D%20)
This implies that,
![M=V \times D.......1](https://tex.z-dn.net/?f=%20M%3DV%20%5Ctimes%20D.......1)
But volume is given by the relation;
![V = \frac{\pi {d}^{2} l}{4}.......2](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cfrac%7B%5Cpi%20%7Bd%7D%5E%7B2%7D%20l%7D%7B4%7D.......2)
Substituting equation 2 into equataion 1 and making d the subject.
![M= \frac{\pi {d}^{2} l D}{4}](https://tex.z-dn.net/?f=%20M%3D%20%5Cfrac%7B%5Cpi%20%7Bd%7D%5E%7B2%7D%20l%20D%7D%7B4%7D)
Multiplying both side of the equation by
![\frac{4}{\pi \: lD}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B%5Cpi%20%5C%3A%20lD%7D)
gives;
![{d}^{2} = \frac{4M}{{\pi \: lD}}](https://tex.z-dn.net/?f=%20%7Bd%7D%5E%7B2%7D%20%3D%20%5Cfrac%7B4M%7D%7B%7B%5Cpi%20%5C%3A%20lD%7D%7D)
square root both sides gives;
![d = \sqrt{\frac{4M}{{\pi \: lD}}} ....3](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%5Cfrac%7B4M%7D%7B%7B%5Cpi%20%5C%3A%20lD%7D%7D%7D%20....3)
substituting the values of M,V,D and l into equation 4 to get the value for d
![d = \sqrt{\frac{4 \times 56.3}{{\pi \: \times 12 \times 6.73}}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%5Cfrac%7B4%20%5Ctimes%2056.3%7D%7B%7B%5Cpi%20%5C%3A%20%5Ctimes%2012%20%5Ctimes%206.73%7D%7D%7D%20)
![d = 0.94 \: cm \: to \: 2d.p](https://tex.z-dn.net/?f=d%20%3D%200.94%20%5C%3A%20cm%20%5C%3A%20to%20%5C%3A%202d.p)
Hence the diameter of the object is 0.94 cm
1.59moles
Explanation:
Mass of CaO = 89.23g
Unknown
Number of moles = ?
Solution:
The mole is a unit of measurement in chemistry used to delineate the number of particles an atom contains.
A mole of a substance contains the avogadro's number of particles.
Number of moles = ![\frac{mass}{molar mass}](https://tex.z-dn.net/?f=%5Cfrac%7Bmass%7D%7Bmolar%20mass%7D)
Molar mass of CaO = 40 + 16 = 56g/mol
Number of moles =
= 1.59moles
learn more:
Number of moles brainly.com/question/1841136
#learnwithBrainly
That is correct. What is the question?
The Calcium ion is an Alkaline earth metal and wants to give up the 2 s orbital elections and become a +2 cation.
Oxygen has six valence electrons and is looking to gain two electrons to complete the octet (8) electron count in the valence shell making it a -2 anion.
When the charges of the Calcium +2 and the Oxygen -2 are equal and opposite, the ions for an electrical attraction. (Remember Paula Abdul told us "Opposites Attract")
This one to one ratio of charges makes the formula CaO