Final answer:
To find the value of x, we calculate the percent loss in mass and use it to find the number of moles of water in the hydrated salt Na2CO3⋅xH2O. The value of x is 2.917 g.
Step-by-step explanation:
To determine the value of x, we need to calculate the percent loss in mass and use it to find the number of moles of water in the hydrated salt Na₂CO₃⋅xH₂O. We are given that the mass of the hydrated salt is 4.640 g and the mass of the anhydrous Na₂CO₃ is 1.720 g. The percent loss in mass can be calculated using the formula:
Percent loss in mass = (Mass of water lost / Initial mass of hydrated salt) * 100%
Substituting in the given values, we have:
63% = (x / 4.640) * 100%
Solving for x:
x = (63% * 4.640) / 100% = 2.917 g
Therefore, the value of x is 2.917.