The standard equilibrium constant, Kp at \(298 K\) for the reaction, \(N _{2}( g )+3 H _{2}( g ) \rightleftharpoons 2 NH _{3}( g ) i s 5.8 \times 10^{5} .\) The value of standard equilibrium constant, if the concentration of gases is expressed in terms of mol/L, will be: [Given : \(R :0.08314 \,L\) \(bar\) \(\,K ^{-1} \,mol ^{-1}]\)

A \(3.51 \times 10^{6}\)
B \(3.84 \times 10^{7}\)
C \(3.56 \times 10^{8}\)
D \(3.99 \times 10^{9}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(3.56 \times 10^{8}\)

Step-by-step Solution

Detailed explanation

\(K _{ P }= K _{ C } \times( RT )^{\Delta n ( g )}\) \(K _{ C }=\frac{ K _{ P }}{( RT )^{-2}}=\frac{5.8 \times 10^{5}}{(0.08314 \times 298)^{-2}}\)

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.

Same subject

Match the catalyst with the process

Catalyst	Process
\((i) \;\mathrm{Na}_{2} \mathrm{O}\)	\((a)\) The oxidation of ethyne to ethanal
\((ii) \;\mathrm{TiCl}_{4}+ \mathrm{Al(CH_3)}_{3}\)	\((b)\) Polymerisation of alkynes
\((iii)\;\mathrm{PdCl_2} \)	\((c)\) Oxidation of \(SO_2\) in the manufacture of \(H_2SO_4\)
\((iv)\;\)Nickel complexes	\((d)\) Polymerisation of ethylene

Which of the following is the correct option ?

NEET 2019 Hard

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