પ્રક્રિયા \(2A + B \to C\) માટે, નીચેના કોષ્ટકમાં પ્રક્રિયકની જુદી જુદી સાંદ્રતાએ પ્રારંભિક વેગના મૂલ્યો આપ્યા છે. તો પ્રક્રિયા માટે વેગનિયમ જણાવો.

\([A] (mol\,L^{-1})\) \([B] (mol\,L^{-1})\) પ્રક્રિયાનો પ્રારંભિક વેગ \((mol\, L^{-1}\,s^{-1} )\)

\(0.05\) \(0.05\) \(0.045\)

\(0.10\) \(0.05\) \(0.090\)

\(0.20\) \(0.10\) \(0.72\)

A Rate \(= k[A]^2[B]^2\)
B Rate \(= k[A][B]^2\)
C Rate \(= k[A][B]\)
D Rate \(= k[A]^2[B]\)

Verified Solution

Answer & Solution

Correct Answer

(B) Rate \(= k[A][B]^2\)

Step-by-step Solution

Detailed explanation

\(r\, = \,K{[A]^x}\,{[B]^y}\) \(0.045\, = \,K{(0.05)^x}{(0.05)^y}\) ...... \((1)\) \(0.090\, = \,K{(0.10)^x}{(0.05)^y}\) .......\((2)\) \(0.72\, = \,K{(0.20)^x}{(0.10)^y}\) ........\((3)\) Diving \((1)\) by \((2)\) We get…

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

Explore more questions on app

From JEE Mains

Explore more questions on app

\([A] (mol\,L^{-1})\)	\([B] (mol\,L^{-1})\)	પ્રક્રિયાનો પ્રારંભિક વેગ \((mol\, L^{-1}\,s^{-1} )\)
\(0.05\)	\(0.05\)	\(0.045\)
\(0.10\)	\(0.05\)	\(0.090\)
\(0.20\)	\(0.10\)	\(0.72\)