A sample of impure NaHCO3 with an initial mass of 0.654 g yielded a solid residue (consisting of Na2CO3 and other solids) with a final mass of 0.456 g. Determine the mass percent of NaHCO3 in the sample.

Respuesta :

Answer:

81.7 %

Explanation:

Equation of the decomposition of NaHCO₃

2 NaHCO₃ → Na₂CO₃ + CO₂ + H₂O

2 mole of NaHCO₃ yielded 1 mole of CO₂ and 1 mole of  H₂O

molar mass of CO₂ = 44 g

molar mass of H₂O = 18 g

1 mole of CO₂ : 1 mole H₂O  = ( mass of CO₂ / molar mass of CO₂) : ( mass of H₂O / molar mass of  H₂O

also  mass of CO₂ + mass of H₂O = ( 0.654 - 0.456 ) g = 0.198 g

1 = ( mass of CO₂/ 44g) : (  mass of H₂O / 18g)

44 mass of H₂O = 18 mass of CO₂

1 mass of CO₂ = 44 / 18  mass of H₂O

substitute into equation 1

mass of CO₂ + mass of H₂O = 0.198 g

2.44 mass of H₂O + mass of H₂O = 0.198 g

3.44 mass of H₂O = 0.198 g

mass of H₂O = 0.198 g / 3.44 = 0.0576 g

mass of CO₂ = 0.198 g  - 0.0576 g  = 0.140 g

2 mole of  NaHCO₃ yielded 1 mole of CO₂

168 g of NaHCO₃ yielded 44 g of CO₂

unknown mass of NaHCO₃ yielded 0.140 g CO₂

unknown mass of NaHCO₃ = 168 g × 0.140 g / 44 g = 0.535 g

mass percent of NaHCO₃ = 0.535 g / 0.654 g = 81.7 %

Answer:

Explanation:

Mass of impure NaHCO3 = 0.654g

Mass of residue= 0.456g

Mass loss of NaHCO3= 0.654-0.456= 0.198g

Balanced reaction equation:

2NaHCO3(s)-------> Na2CO3(s) + H2O(g)+CO2(g)

Note CO2 and water vapour produced in the decomposition combines to give H2CO3

84g of NaHCO3 yields 62g of H2CO3

Xg of NaHCO3 yields 0.198g of H2CO3

Therefore X= 84 × 0.198/ 62

=0.268g

Mass%= 0.268/0.654 × 100

=41% NaHCO3