Copper(II) sulfide, CuS, is used in the development of aniline black dye in textile printing. What is the maximum mass of CuS which can be formed when 38.0 mL of 0.500 M CuCl2 are mixed with 42.0 mL of 0.600 M (NH4)2S

Respuesta :

Explanation:

The chemical reaction equation will be as follows.

           [tex]CuCl_{2} + (NH_{4})_{2}S \rightarrow 2NH_{4}Cl + CuS[/tex]

As 1 mole [tex]CuCl_{2}[/tex] reacts with 1 mole of [tex](NH_{4})_{2}S[/tex]

Hence, moles of [tex]CuCl_{2}[/tex] = Molarity × Volume (in mL)

                                              = 0.5 × 38.0 mL

                                              = 0.019 mol

Moles of [tex](NH_{4})_{2}S[/tex] = Molarity × Volume (in mL)

                                           = 0.6 × 42.0 mL

                                           = 0.0252 mol

As moles of CuS is less than the moles of [tex](NH_{4})_{2}S[/tex]. This means that CuS is the limiting reagent.

Thus, maximum moles of CuS formed are 0.019 mol. As molar mass of CuS is 95.6 g/mol.

Therefore, maximum mass of CuS can be formed is [tex]95.6 g/mol \times 0.019 mol[/tex]

                    = 1.8164 g

Thus, we can conclude that maximum mass of CuS formed is 1.8164 g.

The maximum mass of CuS that can be formed = 1.82g

Calculation of molar mass of a compound

The balanced equation of the mixture of CuCl2 and NH4)2S;

CuCl2 + (NH4)2S ---> 2NH4Cl + CuS

To calculate the number of moles for CuCl2 and (NH4)2S,

the following formula is used.

Number of moles = molarity × volume

Number of moles of CuCl2 = 0.5× 38= 0.019 mol

Number of moles of (NH4)2S = 0.6 × 42 = 0.025 mol

But 1 mol of CuS = 95.6g/mol

If 1 mole of CuCl2 produced 98.6g of CuS

0.019 mol of CuCl2 will produce = X g

X g = 0.019 × 95.6= 1.82g of CuS

Therefore, the maximum mass of CuS that can be formed = 1.82g

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