Number of Significant Figures: 5
The Significant Figures are 8 3 2 0 7
Increase of HCl would increase the rate of since the solution release hydrogen gas
Answer : The density is, ![3.60g/cm^{3}](https://tex.z-dn.net/?f=3.60g%2Fcm%5E%7B3%7D)
Explanation :
Formula used :
.............(1)
where,
= density = ?
Z = number of atom in unit cell (for BCC = 2)
M = atomic mass of barium = 137.3 g/mole
= Avogadro's number = ![6.022\times 10^{23} mol^{-1}](https://tex.z-dn.net/?f=6.022%5Ctimes%2010%5E%7B23%7D%20mol%5E%7B-1%7D)
a = edge length of unit cell = ![5.02\AA=5.02\times 10^{-8}cm](https://tex.z-dn.net/?f=5.02%5CAA%3D5.02%5Ctimes%2010%5E%7B-8%7Dcm)
Conversion used : ![(1\AA=10^{-8}cm)](https://tex.z-dn.net/?f=%281%5CAA%3D10%5E%7B-8%7Dcm%29)
Now put all the values in above formula (1), we get
![\rho=\frac{2\times (137.3g/mol)}{(6.022\times 10^{23}mol^{-1}) \times (5.02\times 10^{-8}cm)^3}=3.60g/cm^{3}](https://tex.z-dn.net/?f=%5Crho%3D%5Cfrac%7B2%5Ctimes%20%28137.3g%2Fmol%29%7D%7B%286.022%5Ctimes%2010%5E%7B23%7Dmol%5E%7B-1%7D%29%20%5Ctimes%20%285.02%5Ctimes%2010%5E%7B-8%7Dcm%29%5E3%7D%3D3.60g%2Fcm%5E%7B3%7D)
Thus, the density is, ![3.60g/cm^{3}](https://tex.z-dn.net/?f=3.60g%2Fcm%5E%7B3%7D)