For the reaction: 2 A (g) + B (s) = 2 C(s) + D (g) At 298 K in a 10.0 L vessel, the equilibrium values are as follows: 0.721 atm of A, 4.18 mol of B, 6.25 mol of C, and 3.04 atm of D. What is the value of the equilibrium constant?

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For the reaction: \(2 \text{A (g)} + \text{B (s)} \rightleftharpoons 2 \text{C (s)} + \text{D (g)}\)

At 298 K in a 10.0 L vessel, the equilibrium values are as follows: 

- 0.721 atm of A
- 4.18 mol of B
- 6.25 mol of C
- 3.04 atm of D

What is the value of the equilibrium constant? 

### Explanation

To find the equilibrium constant (\(K\)), consider the expression \(K = \frac{[\text{products}]}{[\text{reactants}]}\).

For gases, use partial pressures, and for substances in solution, use concentrations.

In this reaction:

- The pressure of A is given directly as 0.721 atm.
- B and C are solids, so their concentrations do not appear in the equilibrium expression.
- The pressure of D is given as 3.04 atm.

Use the equation:
\[ K = \frac{(P_D)}{(P_A)^2} \]

Plug in the given values to solve for \(K\). 

Note: The calculator interface on the right is for inputting numbers and performing calculations.
Transcribed Image Text:For the reaction: \(2 \text{A (g)} + \text{B (s)} \rightleftharpoons 2 \text{C (s)} + \text{D (g)}\) At 298 K in a 10.0 L vessel, the equilibrium values are as follows: - 0.721 atm of A - 4.18 mol of B - 6.25 mol of C - 3.04 atm of D What is the value of the equilibrium constant? ### Explanation To find the equilibrium constant (\(K\)), consider the expression \(K = \frac{[\text{products}]}{[\text{reactants}]}\). For gases, use partial pressures, and for substances in solution, use concentrations. In this reaction: - The pressure of A is given directly as 0.721 atm. - B and C are solids, so their concentrations do not appear in the equilibrium expression. - The pressure of D is given as 3.04 atm. Use the equation: \[ K = \frac{(P_D)}{(P_A)^2} \] Plug in the given values to solve for \(K\). Note: The calculator interface on the right is for inputting numbers and performing calculations.
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