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at 20°c, a 0.376 m aqueous solution of ammonium chloride has a density of 1.0045 g/ml. what is the mass % of ammonium chloride in the solution? the formula weight of nh4cl is 53.50 g/ml.

Sagot :

At 20°c, a 0.376 m aqueous solution of ammonium chloride has a density of 1.0045 g/ml. The mass percent of the ammonium chloride in the solution is 2.003%.

The number of moles of a substance can be estimated as:

[tex]\mathbf{number\ of\ moles = \dfrac{mass}{molar \ mass}}[/tex]

Given that:

  • number of moles = 0.376 M
  • molar mass of ammonium chloride = 53.50 g/ml

Mass = number of moles × molar mass

Mass = 0.376 × 53.50

Mass = 20.116 grams

In one mL of ammonium chloride; the grams of ammonium chloride is:

[tex]\mathbf{= \dfrac{20.116 \ grams}{1000 \ mL}}[/tex]

= 0.020116 g/mL

The mass of ammonium chloride in the solution can be computed as:

[tex]\mathbf{=(\dfrac{mass \ of \ NH_4Cl}{density \ of \ the \ solution})\times 100}[/tex]

[tex]\mathbf{=(\dfrac{0.020116 }{1.0045})\times 100}[/tex]

= 2.003%

Therefore, we can conclude that the mass percent of the ammonium chloride in the solution is 2.003%.

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