Washing soda is a hydrated compound whose formula can be written NA2CO3 xH2O, where x is the number of moles of H2O per mole of Na2CO3. When a 2.123g sample of washing soda was heated at 130*C, all of the water of hydration was lost, leaving the 0.786g of anhydrous sodium carbonate. Calculate the value of x

Question

Nathanael Meza

Chemistry

6 March, 06:13

Washing soda is a hydrated compound whose formula can be written NA2CO3 xH2O, where x is the number of moles of H2O per mole of Na2CO3. When a 2.123g sample of washing soda was heated at 130*C, all of the water of hydration was lost, leaving the 0.786g of anhydrous sodium carbonate. Calculate the value of x

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Gerardo Bryant · Answer 1

The value of X is 10 hence the of hydrated washing soda is Na2CO3.10H2O

calculation

Step 1: calculate the mass of water

= mass of hydrated washing soda - mass of anhydrous sodium carbonate (anhydrous washing soda)

= 2.123 g - 0.786 g = 1.337 grams

Step 2: calculate the moles of Na2CO3 and that of H2O using moles=mass/molar mass formula

molar mass of Na2CO3 = (2x23) + 12 + (16 x3) = 106 g/mol molar mass of H2O = (1 x2) + 16 = 18 g/mol

= moles of Na2CO3 therefore = 0.786 g/106 g/mol = 0.00742 moles

moles of H2O = 1.337 g/18 g/mol = 0.0743 moles

Step 3: find the mole ratio

that is divide each mole by smallest number of mole (0.00742)

= for Na2CO3 = 0.00742/0.00742 = 1

for H2O = 0.0743/0.00742 = 10

hence the value of X = 10