1.

नीचे दी गई प्रथम कोटि की अभिक्रियाओं के वेग स्थिरांक से अर्धायु की गणना कीजिए-

Answer»

Answer:

\large\boxed{\sf{(i)\;3.465\times{10}^{-3}\:s}}

\large\boxed{\sf{(ii)\;0.3465\;min}}

\large\boxed{\sf{(<klux>III</klux>)\;0.17325\;yrs}}

EXPLANATION:

First of all, let's understand the meaning of question in english.

  • प्रथम कोटि = First Order
  • अभिक्रियाओं = Reactions
  • वेग स्थिरांक = Rate constants (K)
  • अर्धायु = Half life ( t½ )

Given that, different VALUES of rate constants (k) for a first order reaction.

To find the values of half lives, t½.

But, we know that,

  • t½ = 0.693/k

Therefore, we will GET,

(i) k = 200 /s

=> t½ = 0.693/200

=> t½ = 3.465\times{10}^{-3}\:s

(ii) k = 2 / min

=> t½ = 0.693/2

=> t½ = 0.3465 min

(iii) k = 4 / yrs.

=> t½ = 0.693/4

=> t½ = 0.17325 yrs.



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