Respuesta :
Answer:
[tex]\boxed{\boxed{\huge\text{$\bold{(B)}\rm K_{\,eq}=1.6$}}}[/tex]
Equilibrium Constant Expression:
The Equilibrium constant expression, denoted by Keq, is a quantitative measure of the extent to which a chemical reaction reaches equilibrium.
Consider the general equilibrium reaction:
[tex]\boxed{\huge\text{$\rm aA+bB\leftrightharpoons cC + dD$}}[/tex]
The equilibrium constant expression is given by:
[tex]\boxed{\huge\text{$\displaystyle\rm K_{\,eq}= \frac{\left[C\right]^c\left[D\right]^d}{\left[A\right]^a\left[B\right]^b}$}}[/tex]
Where:
- [A], [B], [C], and [D] represent the molar concentrations of reactants and products at equilibrium.
- a, b, c, and d are the stoichiometric coefficients of the balanced chemical equation, indicating the number of moles of each substance involved in the reaction.
[tex]\hrulefill\\[/tex]
Given the following reaction:
[tex]\Large\text{$\rm H_{2\,(g)}+CO_{2\,(g)}\leftrightharpoons H_2O_{\,(g)}+CO_{\,(g)}$}[/tex]
And given the following equilibrium concentrations of the reactants and products of the above reaction:
[tex]\large\text{$\rm [H_2] = 2.0\,M$}\\\\\large\text{$\rm [H_2O] = 4.0\,M$}\\\\\large\text{$\rm [CO] = 4.0\,M$}\\\\\large\text{$\rm [H_2] = 2.0\,M$}[/tex]
We can substitute these values into the Equilibrium Constant Expression:
[tex]\Large\text{$\displaystyle\rm K_{\,eq}= \frac{\left[H_2O\right]\left[CO\right]}{\left[H_2\right]\left[CO_2\right]}=\frac{4.0\times 4.0}{2.0\times 5.0}=\frac{16}{10}$}[/tex]
[tex]\boxed{\boxed{\huge\text{$\therefore\rm K_{\,eq}=1.6$}}}[/tex]
[tex]\hrulefill[/tex]
Final answer:
The equilibrium constant, Keq, for the given reaction at 1000°C is 1.6, calculated using the equilibrium concentrations of the substances involved. Therefore, the correct answer is option b) 1.6
Explanation:
The equilibrium constant, Keq, for the reaction H2(g) + CO2(g) ⇌ H2O(g) + CO(g) can be calculated using the equilibrium concentrations of the reactants and products. The formula for Keq is [H2O][CO] / [H2][CO2]. Plugging in the given concentrations, we get (4.0 M × 4.0 M) / (2.0 M × 5.0 M) = 16 / 10 = 1.6. Therefore, the equilibrium constant, Keq, is 1.6 for this reaction at 1000°C.
