From the calculation, the molar mass of the solution is 141 g/mol.
<h3>What is the molar mass?</h3>
We know that;
ΔT = K m i
K = the freezing constant
m = molality of the solution
i = the Van't Hoft factor
The molality of the solution is obtained from;
m = ΔT/K i
m = 3.89/5.12 * 1
m = 0.76 m
Now;
0.76 = 26.7 /MM/0.250
0.76 = 26.7 /0.250MM
0.76 * 0.250MM = 26.7
MM= 26.7/0.76 * 0.250
MM = 141 g/mol
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Answer:
The answer is barium phosphate
Left Panel
A is an acid. Not the answer.
B is correct. That would be a base. But it is not an Arrhenius base. Keep reading.
C that is exactly what an Arrhenius base is.
D. No an acid of some sort would accept OH ions.
Right Panel
D is concentrated and it is also a weak base. Good cleaning fluid. Smells awful but it works.
Answer is 0.289nm.
Explanation: The wt % of Fe and wt % of V is given for a Fe-V alloy.
wt % of Fe in Fe-V alloy = 85%
wt % of V in Fe-V alloy = 15%
We need to calculate edge length of the unit cell having bcc structure.
Using density formula,
![\rho_{ave}=\frac{Z\times M_{ave}}{a^3\times N_A}](https://tex.z-dn.net/?f=%5Crho_%7Bave%7D%3D%5Cfrac%7BZ%5Ctimes%20M_%7Bave%7D%7D%7Ba%5E3%5Ctimes%20N_A%7D)
For calculating edge length,
![a=(\frac{Z\times M_{ave}}{\rho_{ave}\times N_A})^{1/3}](https://tex.z-dn.net/?f=a%3D%28%5Cfrac%7BZ%5Ctimes%20M_%7Bave%7D%7D%7B%5Crho_%7Bave%7D%5Ctimes%20N_A%7D%29%5E%7B1%2F3%7D)
For calculating
, we use the formula
![M_{ave}= \frac{100}{\frac{(wt\%)_{Fe}}{M_{Fe}}+\frac{(wt\%)_{V}}{M_V}}](https://tex.z-dn.net/?f=M_%7Bave%7D%3D%20%5Cfrac%7B100%7D%7B%5Cfrac%7B%28wt%5C%25%29_%7BFe%7D%7D%7BM_%7BFe%7D%7D%2B%5Cfrac%7B%28wt%5C%25%29_%7BV%7D%7D%7BM_V%7D%7D)
Similarly for calculating
, we use the formula
![\rho_{ave}= \frac{100}{\frac{(wt\%)_{Fe}}{\rho_{Fe}}+\frac{(wt\%)_{V}}{\rho_V}}](https://tex.z-dn.net/?f=%5Crho_%7Bave%7D%3D%20%5Cfrac%7B100%7D%7B%5Cfrac%7B%28wt%5C%25%29_%7BFe%7D%7D%7B%5Crho_%7BFe%7D%7D%2B%5Cfrac%7B%28wt%5C%25%29_%7BV%7D%7D%7B%5Crho_V%7D%7D)
From the periodic table, masses of the two elements can be written
![M_{Fe}= 55.85g/mol](https://tex.z-dn.net/?f=M_%7BFe%7D%3D%2055.85g%2Fmol)
![M_{V}=50.941g/mol](https://tex.z-dn.net/?f=M_%7BV%7D%3D50.941g%2Fmol)
Specific density of both the elements are
![(\rho)_{Fe}=7.874g/cm^3\\(\rho)_{V}=6.10g/cm^3](https://tex.z-dn.net/?f=%28%5Crho%29_%7BFe%7D%3D7.874g%2Fcm%5E3%5C%5C%28%5Crho%29_%7BV%7D%3D6.10g%2Fcm%5E3)
Putting
and
formula's in edge length formula, we get
![a=\left [\frac{Z\left (\frac{100}{\frac{(wt\%)_{Fe}}{M_{Fe}}+\frac{(wt\%)_{Fe}}{M_{Fe}}} \right )}{N_A\left (\frac{100}{\frac{(wt\%)_V}{\rho_V}+\frac{(wt\%)_V}{\rho_V}} \right )} \right ]^{1/3}](https://tex.z-dn.net/?f=a%3D%5Cleft%20%5B%5Cfrac%7BZ%5Cleft%20%28%5Cfrac%7B100%7D%7B%5Cfrac%7B%28wt%5C%25%29_%7BFe%7D%7D%7BM_%7BFe%7D%7D%2B%5Cfrac%7B%28wt%5C%25%29_%7BFe%7D%7D%7BM_%7BFe%7D%7D%7D%20%20%5Cright%20%29%7D%7BN_A%5Cleft%20%28%5Cfrac%7B100%7D%7B%5Cfrac%7B%28wt%5C%25%29_V%7D%7B%5Crho_V%7D%2B%5Cfrac%7B%28wt%5C%25%29_V%7D%7B%5Crho_V%7D%7D%20%20%5Cright%20%29%7D%20%20%5Cright%20%5D%5E%7B1%2F3%7D)
![a=\left [\frac{2atoms/\text{unit cell}\left (\frac{100}{\frac{85\%}{55.85g/mol}+\frac{15\%}{50.941g/mol}} \right )}{(6.023\times10^{23}atoms/mol)\left (\frac{100}{\frac{85\%}{7.874g/cm^3}+\frac{15\%}{6.10g/cm^3}} \right )} \right ]^{1/3}](https://tex.z-dn.net/?f=a%3D%5Cleft%20%5B%5Cfrac%7B2atoms%2F%5Ctext%7Bunit%20cell%7D%5Cleft%20%28%5Cfrac%7B100%7D%7B%5Cfrac%7B85%5C%25%7D%7B55.85g%2Fmol%7D%2B%5Cfrac%7B15%5C%25%7D%7B50.941g%2Fmol%7D%7D%20%20%5Cright%20%29%7D%7B%286.023%5Ctimes10%5E%7B23%7Datoms%2Fmol%29%5Cleft%20%28%5Cfrac%7B100%7D%7B%5Cfrac%7B85%5C%25%7D%7B7.874g%2Fcm%5E3%7D%2B%5Cfrac%7B15%5C%25%7D%7B6.10g%2Fcm%5E3%7D%7D%20%20%5Cright%20%29%7D%20%20%5Cright%20%5D%5E%7B1%2F3%7D)
By calculating, we get
![a=2.89\times10^{-8}cm=0.289nm](https://tex.z-dn.net/?f=a%3D2.89%5Ctimes10%5E%7B-8%7Dcm%3D0.289nm)
Between atoms (one metall and one non metall) form an ionic bond(NaCl)