Consider the hypothetical reaction Ag2 Bg ⇌2 Cg…
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Consider the hypothetical reaction A(g)+2 B(g) ⇌2 C(g), for which K_c=0.25 at a certain temperature. A 1.00 -L reaction vessel is loaded with 1.00 mol of compound C, which is allowed to reach equilibrium. Let the variable x represent the number of mol/L of compound A present at equilibrium. (a) In terms of x, what are the equilibrium concentrations of compounds B and C ? (b) What limits must be placed on the value of x so that all concentrations are positive? (c) By putting the equilibrium concentrations (in terms of x ) into the equilibrium-constant expression, derive an equation that can be solved for x .(𝐝) The equation from part (c) is a cubic equation (one that has the form a x^3+b x^2+c x+d=0 ) . In general, cubic equations cannot be solved in closed form. However, you can estimate the solution by plotting the cubic equation in the allowed range of x that you specified in part (b). The point at which the cubic equation crosses the x -axis is the solution. (e) From the plot in part (d), estimate the equilibrium concentrations of A, B, and C. (Hint: You can check the accuracy of your answer by substituting these concentrations into the equilibrium expression.) • Watch the full video at: • https://www.numerade.com/ask/question... • Never get lost on homework again. Numerade is a STEM learning website and app with the world’s largest STEM video library. • Join today and access millions of expert-created videos, each one skillfully crafted to teach you how to solve tough problems step-by-step. • Join Numerade today at: • https://www.numerade.com/signup/?utm_...
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