प्रथम कोटि की अभिक्रिया के

1.	प्रथम कोटि की अभिक्रिया के लिए वेग स्थिरांक का व्यंजक ज्ञात कीजिए।Derived an expression for the rate constant of first order te
Answer» DERIVE an expression for the rate constant of first order REACTION. solution : LET a chemical reaction occurs in first order kinetics such that, A ⇒ constant initial concentration of substance is [A]₀ , final concentration of substance is [A]t and rate constant is k. for first order reaction, DECREMENT rate in the concentration of A = k[A] ⇒- d[A]/dt = k[A] ⇒∫d[A]/[A] = - k∫dt ⇒ln[A] = -kt ⇒ln[A]t - ln[A]₀ = -kt ⇒kt = ln[A]₀ - ln[A]t ⇒kt = ln{[A]₀/[A]t} ⇒k = 1/t ln{[A]₀/[A]t} ⇒k = 2.303/t log{[A]₀/[A]t} THEREFORE rate constant of the first order reaction is k = 2.303/t log{[A]₀/[A]t}.

प्रथम कोटि की अभिक्रिया के लिए वेग स्थिरांक का व्यंजक ज्ञात कीजिए।Derived an expression for the rate constant of first order te

Answer»

DERIVE an expression for the rate constant of first order REACTION.

solution : LET a chemical reaction occurs in first order kinetics such that, A ⇒ constant

initial concentration of substance is [A]₀ , final concentration of substance is [A]t and rate constant is k.

for first order reaction,

DECREMENT rate in the concentration of A = k[A]

⇒- d[A]/dt = k[A]

⇒∫d[A]/[A] = - k∫dt

⇒ln[A] = -kt

⇒ln[A]t - ln[A]₀ = -kt

⇒kt = ln[A]₀ - ln[A]t

⇒kt = ln{[A]₀/[A]t}

⇒k = 1/t ln{[A]₀/[A]t}

⇒k = 2.303/t log{[A]₀/[A]t}

THEREFORE rate constant of the first order reaction is k = 2.303/t log{[A]₀/[A]t}.