Use M1V1 = M2V2 to solve
3(V1) = 2.8 * 1.6
3(V1) = 4.48
V1 = 1.493 L of stock solution
Yo sup??
Force is a vector quantity therefore it has both direction and magnitude.
Hence scientists measure magnitude and direction of a force.
Correct answer is option A
Hope this helps
Answer:
(a) ![m_{gold}=7.322g](https://tex.z-dn.net/?f=m_%7Bgold%7D%3D7.322g)
(b)
![V_{gold}=0.379cm^3](https://tex.z-dn.net/?f=V_%7Bgold%7D%3D0.379cm%5E3)
![V_{copper}=0.122cm^3](https://tex.z-dn.net/?f=V_%7Bcopper%7D%3D0.122cm%5E3)
(c) ![\rho _{coin}=15.94g/cm^3](https://tex.z-dn.net/?f=%5Crho%20_%7Bcoin%7D%3D15.94g%2Fcm%5E3)
Explanation:
Hello,
(a) In this case, with the given formula we easily compute the mass of gold contained in the sovereign as shown below:
![m_{gold}=\frac{m_{tota}*karats}{24}=\frac{7.988g*22}{24}=7.322g](https://tex.z-dn.net/?f=m_%7Bgold%7D%3D%5Cfrac%7Bm_%7Btota%7D%2Akarats%7D%7B24%7D%3D%5Cfrac%7B7.988g%2A22%7D%7B24%7D%3D7.322g)
(b) Now, by knowing the density of gold and copper, 19.32 and 8.94 g/cm³ respectively, we compute each volume, by also knowing that the rest of the coin contains copper:
![V_{gold}=\frac{m_{gold}}{\rho_{gold}} =\frac{7.322g}{19.32g/cm^3}=0.379cm^3](https://tex.z-dn.net/?f=V_%7Bgold%7D%3D%5Cfrac%7Bm_%7Bgold%7D%7D%7B%5Crho_%7Bgold%7D%7D%20%3D%5Cfrac%7B7.322g%7D%7B19.32g%2Fcm%5E3%7D%3D0.379cm%5E3)
![m_{copper}=7.988g-7.322g=1.09g\\V_{copper}=\frac{m_{copper}}{\rho_{copper}}=\frac{1.09g}{8.94g/cm^3} \\\\V_{copper}=0.122cm^3](https://tex.z-dn.net/?f=m_%7Bcopper%7D%3D7.988g-7.322g%3D1.09g%5C%5CV_%7Bcopper%7D%3D%5Cfrac%7Bm_%7Bcopper%7D%7D%7B%5Crho_%7Bcopper%7D%7D%3D%5Cfrac%7B1.09g%7D%7B8.94g%2Fcm%5E3%7D%20%20%5C%5C%5C%5CV_%7Bcopper%7D%3D0.122cm%5E3)
(c) Finally, the volume is computed by dividing the total mass over the total volume containing both gold and copper:
![\rho _{coin}=\frac{m_{total}}{V_{gold}+V_{copper}}=\frac{7.988 g}{0.379cm^3+0.122cm^3}\\ \\\rho _{coin}=15.94g/cm^3](https://tex.z-dn.net/?f=%5Crho%20_%7Bcoin%7D%3D%5Cfrac%7Bm_%7Btotal%7D%7D%7BV_%7Bgold%7D%2BV_%7Bcopper%7D%7D%3D%5Cfrac%7B7.988%20g%7D%7B0.379cm%5E3%2B0.122cm%5E3%7D%5C%5C%20%20%5C%5C%5Crho%20_%7Bcoin%7D%3D15.94g%2Fcm%5E3)
Best regards.
A: making s sandcastle. This is because water and sand is only a mixture, so they do not react with each other. All the rest include chemical reactions!