7. Firstly, I’d start by working out the mass of water which was evaporated from the sample.
13.2 g - 7.4 g = 5.8 g of H2O that was evaporated.
Next, figure out the moles of both the ZnSO
4 remaining and the H
2O evaporated, with our fave n=m/M
n(H
2O) = 5.8/18.0 = 0.322222 = 0.32 mol
n(ZnSO
4) = 7.4/161.5 = 0.045820433 = 0.0458 mol
Next, we find the mole ratio of H
2O to ZnSO
4 by dividing the moles of water evaporated by the moles of zinc sulfate which remained.
n(H
2O)/n(ZnSO
4) = 7.0322 = 7.0 to correct sig figs
Thus, the ratio of n(H
2O) : n(ZnSO
4) is 7:1, or, for every 1 ZnSO
4 molecule there are 7 H
2O molecules, so in the equation:
ZnSO
4.xH
2O --> ZnSO
4 + xH2O
x=7

I’ll have a crack with 2 as well.
2. Start with discovering the moles of HCl titrated with our trusty n=cV, given that c(HCl) = 0.1 M and V(HCl) = 0.0245 L
n(HCl) = 0.1 x 0.0245 = 0.00245 mol
The equation tells us that the mole ratio of Na
2CO
3.xH
2O:HCl is 1:2, so therefore n(Na
2CO
3.xH
2O)/n(HCl) = 1/2.
Thus, n(Na
2CO
3.xH
2O) = n(HCl) x (1/2) = 0.00245 x (1/2) = 0.001225 mol
This is the amount of Na
2CO
3.xH
2O in the 25.0 mL aliquot, thus we can work out the concentration of this aliquot by using c=n/V
c = 0.001225/0.0250 = 0.0490 M
So knowing the concentration of the solution, we can discover the amount of Na
2CO
3.xH
2O in the 250 mL sample, again using n=cV.
n(Na
2CO
3.xH
2O) = 0.0490 x 0.250 = 0.01225 mol
Thus, in a 3.5 g sample there is 0.01225 mol of the hydrated sodium carbonate. We then need to use our classic n=m/M equation, which rearranged gives us M=m/n
M(Na
2CO
3.xH
2O) = 3.5/0.01225 = 285.7143, or approx. 286 g.mol
-1M(Na
2CO
3) = 106 g.mol-1, thus M(xH
2O) = xM(H
20) = 286 – 106 = 180 g.mol
-1So, x = 180/M(H
20) = 180/18 = 10

Sig figs aren’t correct in the working due to the 0.1 M HCl but work out in the end kinda

Also, this question is a tad confusing for me too, so hopefully even if I’m wrong and there are small errors, some of it may help.