Questions: 2 H2(g)+S2(g) rightleftharpoons 2 H2 S(g) quad K=1.08 times 10^7 The current concentrations for the system are given below. What is the reaction quotient, Q, for the system? [H2] =0.500 M [S2] =0.500 M [H2 S] =9.00 M Q =[?]

2 H2(g)+S2(g) rightleftharpoons 2 H2 S(g) quad K=1.08 times 10^7

The current concentrations for the system are given below. What is the reaction quotient, Q, for the system?

[H2] =0.500 M
[S2] =0.500 M
[H2 S] =9.00 M
Q =[?]
Transcript text: \[ 2 \mathrm{H}_{2}(\mathrm{~g})+\mathrm{S}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{H}_{2} \mathrm{~S}(\mathrm{~g}) \quad \mathrm{K}=1.08 \times 10^{7} \] The current concentrations for the system are given below. What is the reaction quotient, Q , for the system? \[ \begin{aligned} {\left[\mathrm{H}_{2}\right] } & =0.500 \mathrm{M} \\ {\left[\mathrm{~S}_{2}\right] } & =0.500 \mathrm{M} \\ {\left[\mathrm{H}_{2} \mathrm{~S}\right] } & =9.00 \mathrm{M} \\ \mathrm{Q} & =[?] \end{aligned} \]
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Solution

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Solution Steps

Step 1: Write the Expression for the Reaction Quotient \( Q \)

The reaction quotient \( Q \) is calculated using the concentrations of the products and reactants at a given moment. For the reaction:

\[ 2 \mathrm{H}_{2}(\mathrm{~g})+\mathrm{S}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{H}_{2} \mathrm{~S}(\mathrm{~g}) \]

The expression for \( Q \) is:

\[ Q = \frac{[\mathrm{H}_2\mathrm{S}]^2}{[\mathrm{H}_2]^2 [\mathrm{S}_2]} \]

Step 2: Substitute the Given Concentrations into the Expression

Substitute the given concentrations into the expression for \( Q \):

  • \([\mathrm{H}_2] = 0.500 \, \text{M}\)
  • \([\mathrm{S}_2] = 0.500 \, \text{M}\)
  • \([\mathrm{H}_2\mathrm{S}] = 9.00 \, \text{M}\)

\[ Q = \frac{(9.00)^2}{(0.500)^2 \times 0.500} \]

Step 3: Calculate the Value of \( Q \)

Calculate the value of \( Q \):

\[ Q = \frac{81.00}{0.250 \times 0.500} = \frac{81.00}{0.125} = 648.0 \]

Final Answer

The reaction quotient \( Q \) for the system is:

\[ \boxed{648.0} \]

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