The compound As2I4 is synthesized by reaction of arsenic metal with arsenic triiodide. If a solid cubic block of arsenic (d = 5.72 g/cm3 ) that is 3.00 cm on edge is allowed to react with

1.01 * 10^24 molecules of arsenic triiodide, how much As2I4 can be prepared? If the percent yield of As2I4 was 75.6%, what mass of As2I4 was actually isolated?

Respuesta :

Mass As₂I₄ actually isolated : 626.27 g

Further explanation

Reaction

2As+4AsI₃⇒3As₂I₄

mass As : ρ x V

[tex]\tt 5.72\times 3^3=5.72\times 27=154.44~g[/tex]

mol As (MW 75 g/mol) :

[tex]\tt \dfrac{154.44}{75}=2.059[/tex]

mol AsI₃ :

[tex]\tt \dfrac{1.01\times 10^{24}}{6.02\times 10^{23}}=1.68[/tex]

Limiting reactant :

As:AsI₃ =

[tex]\tt \dfrac{2.059}{2}:\dfrac{1.68}{4}=1.03:0.42(AsI_3~smaller\rightarrow limiting~reactant)[/tex]

mol As₂I₄ :

[tex]\tt \dfrac{3}{4}\times 1.68=1.26[/tex]

mass As₂I₄ (Mw=657.461 g/mol)

[tex]\tt 1.26\times 657.461=828.4~g[/tex]

For 75.6% yield :

[tex]\tt 0.756\times 828.4=626.27~g[/tex]