sodium trioxocarbonate(iv) crystals NaCO3.XH2O contains 62.94% by mass of water of crystallization.Find the value of X?
Hydrated salt =Na2co3 ×H2o
% by mass of hydrated salt
=100-62•94=37•06%
Mass of anhydrous salt Na2Co3 in the hydrated salt
(2*Na)+(1*c)+(3*o)
(2*23)+(1*12)+(3*o)
=46+12+48
=106g
(X * molar mass H2O) /
[(molar mass NaCO3) + (X * molar mass H2O)] = .6294
I would think that was Na2CO3.xH2O and not NaCO3.xH2O
google agrees with the Dr
perhaps just a typo?
To find the value of X in the compound sodium trioxocarbonate(IV) crystals NaCO3·XH2O, given that it contains 62.94% by mass of water of crystallization, you can use the concept of percent composition.
Percent composition represents the mass portion of a specific element or compound in a given substance. In this case, it is the mass of water in the compound compared to the total mass of the compound.
Let's call the molar mass of XH2O as M(XH2O), and the molar mass of CO3 as M(CO3).
Here's how we can calculate the value of X:
1. Calculate the molar mass of water (H2O) and CO3:
- Molar mass of water (H2O) = 2(1g/mol H) + 16g/mol O = 18g/mol
- Molar mass of carbonate (CO3) = 12g/mol C + 3(16g/mol O) = 60g/mol
2. Calculate the mass of water (H2O) in the compound:
- Since the compound contains 62.94% by mass of water, multiply the total mass of the compound by 0.6294 to find the mass of water:
Mass of water = (62.94 / 100) * total mass of compound
3. Calculate the number of moles of water (H2O) in the compound:
- Divide the mass of water by its molar mass:
Moles of H2O = Mass of water / Molar mass of water
4. Calculate the number of moles of carbonate (CO3) in the compound:
- Since the compound is neutral, the number of moles of carbonate (CO3) equals the number of moles of water.
Moles of CO3 = Moles of H2O
5. Calculate the molar mass of XH2O:
- Multiply the number of moles of carbonate (CO3) by its molar mass:
M(XH2O) = Moles of CO3 * Molar mass of carbonate (CO3)
6. Finally, calculate the value of X:
- Divide the molar mass of XH2O by the molar mass of water, then subtract 1:
X = (M(XH2O) / molar mass of water) - 1
By following these steps, you should be able to find the value of X in sodium trioxocarbonate(IV) crystals NaCO3·XH2O.