For the given equilibrium reaction, 2 Ag⇌2 Bg+Cg the equilibrium constant Kc at 1000 K is 4×10-4. Calculate Kp for the reaction at 800 K temperature

TS EAMCET · Chemistry · Chemical Equilibrium

For the given equilibrium reaction,
$2 A (g) ⇌ 2 B (g) + C (g)$
the equilibrium constant $(K_{c})$ at $1000 K$ is $4 \times 10^{- 4}$ . Calculate $K_{p}$ for the reaction at $800 K$ temperature

A $0.044$
B $0.026$
C $0.33$
D $1$

Verified Solution

Answer & Solution

Correct Answer

(B) $0.026$

Step-by-step Solution

Detailed explanation

Relation between Kp and Kc Kp=KcRT∆n. R=0.082 T=800K ∆n=1 Kc= 4×10-4 Kp =0.0004×(0.082×800) =0.026

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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For the given equilibrium reaction,2 Ag⇌2 Bg+Cgthe equilibrium constant Kc at 1000 K is 4×10-4. Calculate Kp for the reaction at 800 K temperature

Step-by-step Solution

For the given equilibrium reaction,
$2 A (g) ⇌ 2 B (g) + C (g)$
the equilibrium constant $(K_{c})$ at $1000 K$ is $4 \times 10^{- 4}$ . Calculate $K_{p}$ for the reaction at $800 K$ temperature