Respuesta :
Answer:
For a: The number of molecules of iodine gas produced are [tex]1.275\times 10^{23}[/tex]
For b: The mass of iodine gas is produces is 26.9 grams.
Explanation:
We are given:
Moles of copper (II) chloride = 0.4235 moles
For the given chemical reaction:
[tex]2CuCl_2+4KI\rightarrow 2CuI+4KCl+I_2[/tex]
By Stoichiometry of the reaction:
2 moles of copper (II) sulfate produces 1 mole of iodine gas
So, 0.4235 moles of copper (II) sulfate will produce = [tex]\frac{1}{2}\times 0.4235=0.2118mol[/tex] of iodine gas
- For a:
According to mole concept:
1 mole of a compound contains [tex]6.022\times 10^{23}[/tex] number of molecules
So, 0.2118 moles of compound will contain = [tex]0.2118\times 6.022\times 10^{23}=1.275\times 10^{23}[/tex] number of molecules
Hence, the number of molecules of iodine gas produced are [tex]1.275\times 10^{23}[/tex]
- For b:
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
We are given:
Moles of iodine gas = 0.2118 moles
Molar mass of iodine gas = 127 g/mol
Putting values in above equation, we get:
[tex]0.2118mol=\frac{\text{Mass of iodine gas}}{127g/mol}\\\\\text{Mass of iodine gas}=(0.2118mol\times 127g/mol)=26.9g[/tex]
Hence, the mass of iodine gas is produces is 26.9 grams.
0.4235 moles of CuCl₂ produce 1.275 × 10²³ molecules of I₂, which have a mass of 53.76 g.
Let's consider the following balanced equation.
2 CuCl₂ + 4 KI ⇒ 2 CuI + 4 KCl + I₂
The molar ratio of CuCl₂ to I₂ is 2:1. The moles of I₂ produced from 0.4235 moles of CuCl₂ are:
[tex]0.4235 mol CuCl_2 \times \frac{1molI_2}{2molCuCl_2} = 0.2118molI_2[/tex]
We will convert 0.2118 moles of I₂ to molecules using Avogadro's number.
[tex]0.2118mol \times \frac{6.022 \times 10^{23}molecules }{mol} = 1.275 \times 10^{23}molecules[/tex]
Finally, we will convert 0.2118 moles of I₂ to grams using its molar mass.
[tex]0.2118mol \times \frac{253.81g}{mol} = 53.76 g[/tex]
0.4235 moles of CuCl₂ produce 1.275 × 10²³ molecules of I₂, which have a mass of 53.76 g.
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