Question #b584a
1 Answer

#"H"_2# :#0.322# #M# 
#"I"_2# :#0.00749# #M# 
#"HI"# :#0.347# #M#
Explanation:
We're asked to find the molar concentrations of the substances at equilibrium from the given data.
From the chemical equation
the equilibriumconstant expression is
The given volume is
Let's create a makeshift I.C.E. chart, using bullet points:
Initial Concentration (

#"H"_2# :#0.496# 
#"I"_2# :#0.181# 
#"HI"# :#0#
Change in Concentration (

#"H"_2# :#x# 
#"I"_2# :#x# 
#"HI"# :#+2x#
Final Concentration (

#"H"_2# :#0.496x# 
#"I"_2# :#0.00749# 
#"HI"# :#2x#
Since we're given both the initial and final concentrations for
Now that we know
Final Concentrations (

#"H"_2# :#0.496color(red)(0.17351) = 0.322# 
#"I"_2# :#0.00749# 
#"HI"# :#2(color(red)(0.17351)) = 0.347#
The equilibrium concentrations are thus

#"H"_2# :#0.322# #M# 
#"I"_2# :#0.00749# #M# 
#"HI"# :#0.347# #M#