He bought 10 bottles a month at $1.00 and 8 bottles a month at $1.50.
Given :
Volume of stock solution,
.
Volume of diluted solution,
.
Molarity of diluted solution,
.
To Find :
The concentration of the stock solution.
Solution :
We know, dilution factor is given by :
....1)
and
....2)
Putting volume in above equation, we get :
D.F = 400/20
D.F = 20
Putting value of D.F in equation 2) we get :

The concentration of stock solution is nearest to 30 M.
Therefore, the correct option is 1) 30 M.
4% mass / volume :
4 g ---------> 100 mL
1.2 g ------- ? mL
V = 1.2 * 100 / 4
V = 120 / 4
V = 30 mL
hope this helps!
The density of the sample is:
Density = mass / volume
Density = 9.85 / 0.675
Density = 14.6 g/cm³
If the sample has 95% gold, and 5% silver, its density should be:
0.95 x 19.3 + 0.05 x 10.5
Theoretical density = 18.9 g/cm³
The difference in theoretical and actual densities is very large, making it likely that the jeweler was not telling the truth.