Hydrogen iodide decomposes according to the equation:
2HI(g)H2(g)
+ I2(g),Kc = 0.0156 at 400oC
A 0.0660 mole sample of HI was injected into a 2.00 L
reactionvessel held at 400oC.
Calculate the concentration of HI and I2
andH2 at equilibrium.

Respuesta :

Answer:

[HI] = 0,0264 M

[H₂] = 0,003299 M

[I₂] = 0,003299 M

Explanation:

For the equation:

2 HI (g) ⇄ H₂(g) + I₂(g)  With k= 0,0156. Also, k=[tex]\frac{[H_{2}[I_{2} ]  }{[HI]^{2}}[/tex] (1)

The initial concentration of HI is:

[HI] = [tex]\frac{0,0660}{2,00}[/tex] = 0,0330 M

The concentration of the reactant and products in equilibrium is:

[HI] = 0,033 M - 2x ⇒ because 2 moles are consumed

[H₂] = x ⇒ because 1 mole is produced

[I₂] = x ⇒ Also, 1 mole is produced

Thus, replacing in (1):

0.0156 = [tex]\frac{[x]^2}{[0,0330-2x]^2}[/tex]

The quadratic equation to solve is:

0,9376x² + 0,0020592x - 0,000017 = 0

Have two solutions:

x = -0,0054955  ⇒ No physical sense. Will produce negative concentrations

x = 0,003299⇒ Real answer

Thus, concentrations in equilibrium are:

[HI] = 0,033 - 2×0,003299 = 0,0264 M

[H₂] = 0,003299 M

[I₂] = 0,003299 M

I hope it helps!

Answer:

M (HI) = 0.033MHI

M (N2) = 0.0165MN2

M (H2) = 0.0165MH2

Explanation:

The Molarity formula is the amount of substance in moles (n) divided by one liter of solution (L)

M = n / L

M (HI) = n / V = ​​0.066mol HI / 2L solution

M (HI) = 0.033MHI

moles of H2 = 0.066molHI * (1mol H2 / 2 molesHI) = 0.033mol H2

moles of

M (H2) = n / V = ​​0.033molH2 / 2Ldisolution

M (H2) = 0.0165MH2

N2 = 0.066molHI * (1mol N2 / 2 molesHI) = 0.033mol N2

M (N2) = n / V = ​​0.033molN2 / 2L solution

M (N2) = 0.0165MN2