0 votes
49 views
in Physical Chemistry by (470 points)
A student wants to know the equilibrium concentration of hydrogen gas and nitrogen gas at a particular temperature and pressure when they are mixed in a container in a 2:1 ratio. The student also wants to calculate the equilibrium constant of the reaction when nitrogen and hydrogen form ammonia. Can you help the student by designing a step-by-step procedure to find the equilib

1 Answer

0 votes
by (430 points)
Yes, I can help the student by providing a step-by-step procedure to find the equilibrium concentrations and equilibrium constant at the given conditions. The reaction between nitrogen and hydrogen to form ammonia is given by:N2 g  + 3H2 g   2NH3 g Step 1: Write the initial concentrationsLet's assume the initial concentration of N2 is n1 moles and H2 is n2 moles. Since the ratio is 2:1, n2 = 2n1. The initial concentration of NH3 is 0.Step 2: Write the change in concentrationsAt equilibrium, let x moles of N2 and 3x moles of H2 react to form 2x moles of NH3. The change in concentrations can be represented as:N2: -xH2: -3xNH3: +2xStep 3: Write the equilibrium concentrationsThe equilibrium concentrations can be written as:[N2] = n1 - x[H2] = n2 - 3x = 2n1 - 3x[NH3] = 2xStep 4: Write the expression for the equilibrium constant  Kc The equilibrium constant expression for the reaction is given by:Kc = [NH3]^2 /  [N2] * [H2]^3 Step 5: Substitute the equilibrium concentrations into the Kc expressionSubstitute the equilibrium concentrations from Step 3 into the Kc expression:Kc =  2x ^2 /   n1 - x  *  2n1 - 3x ^3 Step 6: Solve for xTo find the equilibrium concentrations, we need to solve for x. This can be done using the given temperature and pressure conditions, along with the ideal gas law  PV = nRT  to find the initial concentrations  n1 and n2 . Then, use an iterative method or a numerical solver to find the value of x that satisfies the Kc expression.Step 7: Calculate the equilibrium concentrationsOnce you have the value of x, substitute it back into the equilibrium concentration expressions from Step 3 to find the equilibrium concentrations of N2, H2, and NH3.Step 8: Calculate the equilibrium constantFinally, substitute the equilibrium concentrations into the Kc expression from Step 5 to find the equilibrium constant at the given temperature and pressure conditions.By following these steps, the student can find the equilibrium concentrations of hydrogen gas, nitrogen gas, and ammonia, as well as the equilibrium constant for the reaction at the given temperature and pressure conditions.

Related questions

Welcome to Sarvan Science Q&A, where you can ask questions and receive answers from other members of the community.
...